x(x+3)-100=3x

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Solution for x(x+3)-100=3x equation: 


Simplifying
x(x + 3) + -100 = 3x

Reorder the terms:
x(3 + x) + -100 = 3x
(3 * x + x * x) + -100 = 3x
(3x + x2) + -100 = 3x

Reorder the terms:
-100 + 3x + x2 = 3x

Add '-3x' to each side of the equation.
-100 + 3x + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-100 + 0 + x2 = 3x + -3x
-100 + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-100 + x2 = 0

Solving
-100 + x2 = 0

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + x2 = 0 + 100
x2 = 0 + 100

Combine like terms: 0 + 100 = 100
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}

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