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Simplifying
x2 + 12x + 36 = 12x + 40
Reorder the terms:
36 + 12x + x2 = 12x + 40
Reorder the terms:
36 + 12x + x2 = 40 + 12x
Add '-12x' to each side of the equation.
36 + 12x + -12x + x2 = 40 + 12x + -12x
Combine like terms: 12x + -12x = 0
36 + 0 + x2 = 40 + 12x + -12x
36 + x2 = 40 + 12x + -12x
Combine like terms: 12x + -12x = 0
36 + x2 = 40 + 0
36 + x2 = 40
Solving
36 + x2 = 40
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-36' to each side of the equation.
36 + -36 + x2 = 40 + -36
Combine like terms: 36 + -36 = 0
0 + x2 = 40 + -36
x2 = 40 + -36
Combine like terms: 40 + -36 = 4
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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