x(x-3)+(x+4)(x-4)=2-3x

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Solution for x(x-3)+(x+4)(x-4)=2-3x equation: 


Simplifying
x(x + -3) + (x + 4)(x + -4) = 2 + -3x

Reorder the terms:
x(-3 + x) + (x + 4)(x + -4) = 2 + -3x
(-3 * x + x * x) + (x + 4)(x + -4) = 2 + -3x
(-3x + x2) + (x + 4)(x + -4) = 2 + -3x

Reorder the terms:
-3x + x2 + (4 + x)(x + -4) = 2 + -3x

Reorder the terms:
-3x + x2 + (4 + x)(-4 + x) = 2 + -3x

Multiply (4 + x) * (-4 + x)
-3x + x2 + (4(-4 + x) + x(-4 + x)) = 2 + -3x
-3x + x2 + ((-4 * 4 + x * 4) + x(-4 + x)) = 2 + -3x
-3x + x2 + ((-16 + 4x) + x(-4 + x)) = 2 + -3x
-3x + x2 + (-16 + 4x + (-4 * x + x * x)) = 2 + -3x
-3x + x2 + (-16 + 4x + (-4x + x2)) = 2 + -3x

Combine like terms: 4x + -4x = 0
-3x + x2 + (-16 + 0 + x2) = 2 + -3x
-3x + x2 + (-16 + x2) = 2 + -3x

Reorder the terms:
-16 + -3x + x2 + x2 = 2 + -3x

Combine like terms: x2 + x2 = 2x2
-16 + -3x + 2x2 = 2 + -3x

Add '3x' to each side of the equation.
-16 + -3x + 3x + 2x2 = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 0 + 2x2 = 2 + -3x + 3x
-16 + 2x2 = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 2x2 = 2 + 0
-16 + 2x2 = 2

Solving
-16 + 2x2 = 2

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 2x2 = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 2x2 = 2 + 16
2x2 = 2 + 16

Combine like terms: 2 + 16 = 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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