x(x+3)-4=3x+32

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Solution for x(x+3)-4=3x+32 equation: 


Simplifying
x(x + 3) + -4 = 3x + 32

Reorder the terms:
x(3 + x) + -4 = 3x + 32
(3 * x + x * x) + -4 = 3x + 32
(3x + x2) + -4 = 3x + 32

Reorder the terms:
-4 + 3x + x2 = 3x + 32

Reorder the terms:
-4 + 3x + x2 = 32 + 3x

Add '-3x' to each side of the equation.
-4 + 3x + -3x + x2 = 32 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 0 + x2 = 32 + 3x + -3x
-4 + x2 = 32 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + x2 = 32 + 0
-4 + x2 = 32

Solving
-4 + x2 = 32

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x2 = 32 + 4

Combine like terms: -4 + 4 = 0
0 + x2 = 32 + 4
x2 = 32 + 4

Combine like terms: 32 + 4 = 36
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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