13-x(x-9)=1-3(x-5)(x+2)

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Solution for 13-x(x-9)=1-3(x-5)(x+2) equation: 


Simplifying
13 + -1x(x + -9) = 1 + -3(x + -5)(x + 2)

Reorder the terms:
13 + -1x(-9 + x) = 1 + -3(x + -5)(x + 2)
13 + (-9 * -1x + x * -1x) = 1 + -3(x + -5)(x + 2)
13 + (9x + -1x2) = 1 + -3(x + -5)(x + 2)

Reorder the terms:
13 + 9x + -1x2 = 1 + -3(-5 + x)(x + 2)

Reorder the terms:
13 + 9x + -1x2 = 1 + -3(-5 + x)(2 + x)

Multiply (-5 + x) * (2 + x)
13 + 9x + -1x2 = 1 + -3(-5(2 + x) + x(2 + x))
13 + 9x + -1x2 = 1 + -3((2 * -5 + x * -5) + x(2 + x))
13 + 9x + -1x2 = 1 + -3((-10 + -5x) + x(2 + x))
13 + 9x + -1x2 = 1 + -3(-10 + -5x + (2 * x + x * x))
13 + 9x + -1x2 = 1 + -3(-10 + -5x + (2x + x2))

Combine like terms: -5x + 2x = -3x
13 + 9x + -1x2 = 1 + -3(-10 + -3x + x2)
13 + 9x + -1x2 = 1 + (-10 * -3 + -3x * -3 + x2 * -3)
13 + 9x + -1x2 = 1 + (30 + 9x + -3x2)

Combine like terms: 1 + 30 = 31
13 + 9x + -1x2 = 31 + 9x + -3x2

Add '-9x' to each side of the equation.
13 + 9x + -9x + -1x2 = 31 + 9x + -9x + -3x2

Combine like terms: 9x + -9x = 0
13 + 0 + -1x2 = 31 + 9x + -9x + -3x2
13 + -1x2 = 31 + 9x + -9x + -3x2

Combine like terms: 9x + -9x = 0
13 + -1x2 = 31 + 0 + -3x2
13 + -1x2 = 31 + -3x2

Solving
13 + -1x2 = 31 + -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
13 + -1x2 + 3x2 = 31 + -3x2 + 3x2

Combine like terms: -1x2 + 3x2 = 2x2
13 + 2x2 = 31 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
13 + 2x2 = 31 + 0
13 + 2x2 = 31

Add '-13' to each side of the equation.
13 + -13 + 2x2 = 31 + -13

Combine like terms: 13 + -13 = 0
0 + 2x2 = 31 + -13
2x2 = 31 + -13

Combine like terms: 31 + -13 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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