What are the solutions to the equation 7x^2=10x+8 ?

The solutions to the equation 7x^2=10x+8 are x=2,x=-4/7

Find the zeros of 7x^2=10x+8

The zeros of 7x^2=10x+8 are x=2,x=-4/7

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7 x^{2} = 10 x + 8

x = 2, x = - \frac{4}{7}

Decimal Notation

x = 2, x = - 0.57142 \dots

Solution steps

7 x^{2} = 10 x + 8

Move

8

to the left side

7 x^{2} - 8 = 10 x

Move

10 x

to the left side

7 x^{2} - 8 - 10 x = 0

Write in the standard form

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

7 x^{2} - 10 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 7 ( - 8 )}{2 \cdot 7}

(- 10)^{2} - 4 \cdot 7 (- 8) = 18

x_{1, 2} = \frac{- ( - 10 ) \pm 18}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 18}{2 \cdot 7}, x_{2} = \frac{- ( - 10 ) - 18}{2 \cdot 7}

x = \frac{- ( - 10 ) + 18}{2 \cdot 7} : 2

x = \frac{- ( - 10 ) - 18}{2 \cdot 7} : - \frac{4}{7}

The solutions to the quadratic equation are:

x = 2, x = - \frac{4}{7}

3 ∣ x + 1 ∣ < 2 ∣ x - 10 ∣

- 4 (x + 8) = - 28

q^{2} + 2 q - 15 = 0

\frac{π}{3} + \frac{π}{4}

\frac{3}{20} - \frac{9}{16}

What are the solutions to the equation 7x^2=10x+8 ?
The solutions to the equation 7x^2=10x+8 are x=2,x=-4/7
Find the zeros of 7x^2=10x+8
The zeros of 7x^2=10x+8 are x=2,x=-4/7