What are the solutions to the equation 3/4 x[ 2/7+5/8 ]= 3/4 (x^2)/7 ?

The solutions to the equation 3/4 x[ 2/7+5/8 ]= 3/4 (x^2)/7 are x= 51/8 ,x=0

Find the zeros of 3/4 x[ 2/7+5/8 ]= 3/4 (x^2)/7

The zeros of 3/4 x[ 2/7+5/8 ]= 3/4 (x^2)/7 are x= 51/8 ,x=0

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\frac{3}{4} x [\frac{2}{7} + \frac{5}{8}] = \frac{3}{4} \frac{x ^{2}}{7}

x = \frac{51}{8}, x = 0

Decimal Notation

x = 6.375, x = 0

Solution steps

\frac{3}{4} x [\frac{2}{7} + \frac{5}{8}] = \frac{3}{4} \cdot \frac{x ^{2}}{7}

Simplify

4 \cdot 7 : 28

\frac{3}{4} x [\frac{2}{7} + \frac{5}{8}] = \frac{3 x ^{2}}{28}

Find Least Common Multiplier of

4, 28 : 28

Multiply by LCM=

28

\frac{3}{4} x [\frac{2}{7} + \frac{5}{8}] \cdot 28 = \frac{3 x ^{2}}{28} \cdot 28

Simplify

21 (\frac{2}{7} + \frac{5}{8}) x = 3 x^{2}

Expand

21 (\frac{2}{7} + \frac{5}{8}) x : \frac{153}{8} x

\frac{153}{8} x = 3 x^{2}

Switch sides

3 x^{2} = \frac{153}{8} x

Move

\frac{153}{8} x

to the left side

3 x^{2} - \frac{153}{8} x = 0

Write in the standard form

a x^{2} + b x + c = 0

3 x^{2} - \frac{153 x}{8} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - \frac{153}{8} ) \pm ( - \frac{153}{8} ) ^{2} - 4 \cdot 3 \cdot 0}{2 \cdot 3}

(- \frac{153}{8})^{2} - 4 \cdot 3 \cdot 0 = \frac{153}{8}

x_{1, 2} = \frac{- ( - \frac{153}{8} ) \pm \frac{153}{8}}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - \frac{153}{8} ) + \frac{153}{8}}{2 \cdot 3}, x_{2} = \frac{- ( - \frac{153}{8} ) - \frac{153}{8}}{2 \cdot 3}

x = \frac{- ( - \frac{153}{8} ) + \frac{153}{8}}{2 \cdot 3} : \frac{51}{8}

x = \frac{- ( - \frac{153}{8} ) - \frac{153}{8}}{2 \cdot 3} : 0

The solutions to the quadratic equation are:

x = \frac{51}{8}, x = 0

17 x^{2} - 40 x + 8 = 0

9 x^{2} + 8 (k - 5) x + 64 = 0

t, s = v_{0} \cdot t + a \cdot t^{2}

y, 9 y^{2} = x \cdot (3 - x)^{2}

y (y + 5) = 14

What are the solutions to the equation 3/4 x[ 2/7+5/8 ]= 3/4 (x^2)/7 ?
The solutions to the equation 3/4 x[ 2/7+5/8 ]= 3/4 (x^2)/7 are x= 51/8 ,x=0
Find the zeros of 3/4 x[ 2/7+5/8 ]= 3/4 (x^2)/7
The zeros of 3/4 x[ 2/7+5/8 ]= 3/4 (x^2)/7 are x= 51/8 ,x=0