What are the solutions to the equation 2/15 x^2+(-1/6+1/10)x= 1/8 ?

The solutions to the equation 2/15 x^2+(-1/6+1/10)x= 1/8 are x= 5/4 ,x=-3/4

Find the zeros of 2/15 x^2+(-1/6+1/10)x= 1/8

The zeros of 2/15 x^2+(-1/6+1/10)x= 1/8 are x= 5/4 ,x=-3/4

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\frac{2}{15} x^{2} + (- \frac{1}{6} + \frac{1}{10}) x = \frac{1}{8}

x = \frac{5}{4}, x = - \frac{3}{4}

Decimal Notation

x = 1.25, x = - 0.75

Solution steps

\frac{2}{15} x^{2} + (- \frac{1}{6} + \frac{1}{10}) x = \frac{1}{8}

Find Least Common Multiplier of

15, 8 : 120

Multiply by LCM=

120

\frac{2}{15} x^{2} \cdot 120 + (- \frac{1}{6} + \frac{1}{10}) x \cdot 120 = \frac{1}{8} \cdot 120

Simplify

16 x^{2} + 120 (- \frac{1}{6} + \frac{1}{10}) x = 15

Expand

16 x^{2} + 120 (- \frac{1}{6} + \frac{1}{10}) x : 16 x^{2} - 8 x

16 x^{2} - 8 x = 15

Move

15

to the left side

16 x^{2} - 8 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 16 ( - 15 )}{2 \cdot 16}

(- 8)^{2} - 4 \cdot 16 (- 15) = 32

x_{1, 2} = \frac{- ( - 8 ) \pm 32}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 32}{2 \cdot 16}, x_{2} = \frac{- ( - 8 ) - 32}{2 \cdot 16}

x = \frac{- ( - 8 ) + 32}{2 \cdot 16} : \frac{5}{4}

x = \frac{- ( - 8 ) - 32}{2 \cdot 16} : - \frac{3}{4}

The solutions to the quadratic equation are:

x = \frac{5}{4}, x = - \frac{3}{4}

λ^{2} + 4 λ - 5 (1) = 0

x^{2} - 16 x + 16 = 2 x - 20

2 x (x - 14) + 11 (3 + x) = - 22 x + 27 + x^{2}

- 2 x^{2} - 4 x + 30 = 0

t, y = v t + \frac{1}{2} g t^{2}

What are the solutions to the equation 2/15 x^2+(-1/6+1/10)x= 1/8 ?
The solutions to the equation 2/15 x^2+(-1/6+1/10)x= 1/8 are x= 5/4 ,x=-3/4
Find the zeros of 2/15 x^2+(-1/6+1/10)x= 1/8
The zeros of 2/15 x^2+(-1/6+1/10)x= 1/8 are x= 5/4 ,x=-3/4