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Simplifying (2x + 2)(x) = 220 Reorder the terms: (2 + 2x)(x) = 220 Reorder the terms for easier multiplication: x(2 + 2x) = 220 (2 * x + 2x * x) = 220 (2x + 2x2) = 220 Solving 2x + 2x2 = 220 Solving for variable 'x'. Reorder the terms: -220 + 2x + 2x2 = 220 + -220 Combine like terms: 220 + -220 = 0 -220 + 2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-110 + x + x2) = 0 Factor a trinomial. 2((-11 + -1x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-11, 10}
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