What are the solutions to the equation x(3x-14)=5 ?

The solutions to the equation x(3x-14)=5 are x=5,x=-1/3

Find the zeros of x(3x-14)=5

The zeros of x(3x-14)=5 are x=5,x=-1/3

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x (3 x - 14) = 5

x = 5, x = - \frac{1}{3}

Decimal Notation

x = 5, x = - 0.33333 \dots

Solution steps

x (3 x - 14) = 5

Expand

x (3 x - 14) : 3 x^{2} - 14 x

3 x^{2} - 14 x = 5

Move

5

to the left side

3 x^{2} - 14 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 14)^{2} - 4 \cdot 3 (- 5) = 16

x_{1, 2} = \frac{- ( - 14 ) \pm 16}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 16}{2 \cdot 3}, x_{2} = \frac{- ( - 14 ) - 16}{2 \cdot 3}

x = \frac{- ( - 14 ) + 16}{2 \cdot 3} : 5

x = \frac{- ( - 14 ) - 16}{2 \cdot 3} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = 5, x = - \frac{1}{3}

15 = \frac{1}{3} q^{2}

z^{2} - 1.8994 z + 0.9607 = 0

x^{2} + a x + 4 = 0

X^{2} - 8 X + 15 = 0

(2 d + 7) (d - 3) = 0

What are the solutions to the equation x(3x-14)=5 ?
The solutions to the equation x(3x-14)=5 are x=5,x=-1/3
Find the zeros of x(3x-14)=5
The zeros of x(3x-14)=5 are x=5,x=-1/3