x(x-4)-14=130-4x

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Solution for x(x-4)-14=130-4x equation: 


Simplifying
x(x + -4) + -14 = 130 + -4x

Reorder the terms:
x(-4 + x) + -14 = 130 + -4x
(-4 * x + x * x) + -14 = 130 + -4x
(-4x + x2) + -14 = 130 + -4x

Reorder the terms:
-14 + -4x + x2 = 130 + -4x

Add '4x' to each side of the equation.
-14 + -4x + 4x + x2 = 130 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 0 + x2 = 130 + -4x + 4x
-14 + x2 = 130 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + x2 = 130 + 0
-14 + x2 = 130

Solving
-14 + x2 = 130

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + x2 = 130 + 14

Combine like terms: -14 + 14 = 0
0 + x2 = 130 + 14
x2 = 130 + 14

Combine like terms: 130 + 14 = 144
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}

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