x(x-3)-51=-3x+13

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Solution for x(x-3)-51=-3x+13 equation: 


Simplifying
x(x + -3) + -51 = -3x + 13

Reorder the terms:
x(-3 + x) + -51 = -3x + 13
(-3 * x + x * x) + -51 = -3x + 13
(-3x + x2) + -51 = -3x + 13

Reorder the terms:
-51 + -3x + x2 = -3x + 13

Reorder the terms:
-51 + -3x + x2 = 13 + -3x

Add '3x' to each side of the equation.
-51 + -3x + 3x + x2 = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-51 + 0 + x2 = 13 + -3x + 3x
-51 + x2 = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-51 + x2 = 13 + 0
-51 + x2 = 13

Solving
-51 + x2 = 13

Solving for variable 'x'.

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

Add '51' to each side of the equation.
-51 + 51 + x2 = 13 + 51

Combine like terms: -51 + 51 = 0
0 + x2 = 13 + 51
x2 = 13 + 51

Combine like terms: 13 + 51 = 64
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}

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