What are the solutions to the equation 4x-7x=1-7x^2+5-3x^2+7x+8x^2-6 ?

The solutions to the equation 4x-7x=1-7x^2+5-3x^2+7x+8x^2-6 are x=0,x=5

Find the zeros of 4x-7x=1-7x^2+5-3x^2+7x+8x^2-6

The zeros of 4x-7x=1-7x^2+5-3x^2+7x+8x^2-6 are x=0,x=5

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4 x - 7 x = 1 - 7 x^{2} + 5 - 3 x^{2} + 7 x + 8 x^{2} - 6

x = 0, x = 5

Solution steps

4 x - 7 x = 1 - 7 x^{2} + 5 - 3 x^{2} + 7 x + 8 x^{2} - 6

Refine

- 3 x = - 2 x^{2} + 7 x

Switch sides

- 2 x^{2} + 7 x = - 3 x

Move

3 x

to the left side

- 2 x^{2} + 10 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 ( - 2 ) \cdot 0}{2 ( - 2 )}

1 0^{2} - 4 (- 2) \cdot 0 = 10

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

Separate the solutions

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

x = \frac{- 10 + 10}{2 ( - 2 )} : 0

x = \frac{- 10 - 10}{2 ( - 2 )} : 5

The solutions to the quadratic equation are:

x = 0, x = 5

k, y^{n} + k^{2} y = 0

m^{2} + 8 m = 16

(x - 2)^{2} - 2 (x - 2) - 15 = 0

(5 c + 1)^{2} = - 27

3 x^{2} + 6 x + 18 = 0

What are the solutions to the equation 4x-7x=1-7x^2+5-3x^2+7x+8x^2-6 ?
The solutions to the equation 4x-7x=1-7x^2+5-3x^2+7x+8x^2-6 are x=0,x=5
Find the zeros of 4x-7x=1-7x^2+5-3x^2+7x+8x^2-6
The zeros of 4x-7x=1-7x^2+5-3x^2+7x+8x^2-6 are x=0,x=5