9x^2+1-6x+2x(1-x)+2=x-7(1-x)x

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Solution for 9x^2+1-6x+2x(1-x)+2=x-7(1-x)x equation: 


Simplifying
9x2 + 1 + -6x + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x
9x2 + 1 + -6x + (1 * 2x + -1x * 2x) + 2 = x + -7(1 + -1x) * x
9x2 + 1 + -6x + (2x + -2x2) + 2 = x + -7(1 + -1x) * x

Reorder the terms:
1 + 2 + -6x + 2x + 9x2 + -2x2 = x + -7(1 + -1x) * x

Combine like terms: 1 + 2 = 3
3 + -6x + 2x + 9x2 + -2x2 = x + -7(1 + -1x) * x

Combine like terms: -6x + 2x = -4x
3 + -4x + 9x2 + -2x2 = x + -7(1 + -1x) * x

Combine like terms: 9x2 + -2x2 = 7x2
3 + -4x + 7x2 = x + -7(1 + -1x) * x

Reorder the terms for easier multiplication:
3 + -4x + 7x2 = x + -7x(1 + -1x)
3 + -4x + 7x2 = x + (1 * -7x + -1x * -7x)
3 + -4x + 7x2 = x + (-7x + 7x2)

Combine like terms: x + -7x = -6x
3 + -4x + 7x2 = -6x + 7x2

Add '-7x2' to each side of the equation.
3 + -4x + 7x2 + -7x2 = -6x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
3 + -4x + 0 = -6x + 7x2 + -7x2
3 + -4x = -6x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
3 + -4x = -6x + 0
3 + -4x = -6x

Solving
3 + -4x = -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
3 + -4x + 6x = -6x + 6x

Combine like terms: -4x + 6x = 2x
3 + 2x = -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 2x = 0

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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