What are the solutions to the equation 9x^2+2x=2x^2-6x ?

The solutions to the equation 9x^2+2x=2x^2-6x are x=0,x=-8/7

Find the zeros of 9x^2+2x=2x^2-6x

The zeros of 9x^2+2x=2x^2-6x are x=0,x=-8/7

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9 x^{2} + 2 x = 2 x^{2} - 6 x

x = 0, x = - \frac{8}{7}

Decimal Notation

x = 0, x = - 1.14285 \dots

Solution steps

9 x^{2} + 2 x = 2 x^{2} - 6 x

Move

6 x

to the left side

9 x^{2} + 8 x = 2 x^{2}

Move

2 x^{2}

to the left side

7 x^{2} + 8 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 7 \cdot 0}{2 \cdot 7}

8^{2} - 4 \cdot 7 \cdot 0 = 8

x_{1, 2} = \frac{- 8 \pm 8}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- 8 + 8}{2 \cdot 7}, x_{2} = \frac{- 8 - 8}{2 \cdot 7}

x = \frac{- 8 + 8}{2 \cdot 7} : 0

x = \frac{- 8 - 8}{2 \cdot 7} : - \frac{8}{7}

The solutions to the quadratic equation are:

x = 0, x = - \frac{8}{7}

(x + 10)^{2} = 200

x^{2} - 20 x + 100 = 40

(2 x + 3) (x - 1) = 0

5 x^{2} - 20 x - 60 = 0

- 12 x^{2} + 48 x - 36 = 0

What are the solutions to the equation 9x^2+2x=2x^2-6x ?
The solutions to the equation 9x^2+2x=2x^2-6x are x=0,x=-8/7
Find the zeros of 9x^2+2x=2x^2-6x
The zeros of 9x^2+2x=2x^2-6x are x=0,x=-8/7