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Simplifying
140 = (x + 2)(x + -2)
Reorder the terms:
140 = (2 + x)(x + -2)
Reorder the terms:
140 = (2 + x)(-2 + x)
Multiply (2 + x) * (-2 + x)
140 = (2(-2 + x) + x(-2 + x))
140 = ((-2 * 2 + x * 2) + x(-2 + x))
140 = ((-4 + 2x) + x(-2 + x))
140 = (-4 + 2x + (-2 * x + x * x))
140 = (-4 + 2x + (-2x + x2))
Combine like terms: 2x + -2x = 0
140 = (-4 + 0 + x2)
140 = (-4 + x2)
Solving
140 = -4 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
140 + -1x2 = -4 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
140 + -1x2 = -4 + 0
140 + -1x2 = -4
Add '-140' to each side of the equation.
140 + -140 + -1x2 = -4 + -140
Combine like terms: 140 + -140 = 0
0 + -1x2 = -4 + -140
-1x2 = -4 + -140
Combine like terms: -4 + -140 = -144
-1x2 = -144
Divide each side by '-1'.
x2 = 144
Simplifying
x2 = 144
Take the square root of each side:
x = {-12, 12}
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