9x-8x(1+3x)=3x-2x(1-x)

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Solution for 9x-8x(1+3x)=3x-2x(1-x) equation: 


Simplifying
9x + -8x(1 + 3x) = 3x + -2x(1 + -1x)
9x + (1 * -8x + 3x * -8x) = 3x + -2x(1 + -1x)
9x + (-8x + -24x2) = 3x + -2x(1 + -1x)

Combine like terms: 9x + -8x = 1x
1x + -24x2 = 3x + -2x(1 + -1x)
1x + -24x2 = 3x + (1 * -2x + -1x * -2x)
1x + -24x2 = 3x + (-2x + 2x2)

Combine like terms: 3x + -2x = 1x
1x + -24x2 = 1x + 2x2

Add '-1x' to each side of the equation.
1x + -1x + -24x2 = 1x + -1x + 2x2

Combine like terms: 1x + -1x = 0
0 + -24x2 = 1x + -1x + 2x2
-24x2 = 1x + -1x + 2x2

Combine like terms: 1x + -1x = 0
-24x2 = 0 + 2x2
-24x2 = 2x2

Solving
-24x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-24x2 + -2x2 = 2x2 + -2x2

Combine like terms: -24x2 + -2x2 = -26x2
-26x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-26x2 = 0

Divide each side by '-26'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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