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Simplifying x(x + 20) = 1056 Reorder the terms: x(20 + x) = 1056 (20 * x + x * x) = 1056 (20x + x2) = 1056 Solving 20x + x2 = 1056 Solving for variable 'x'. Reorder the terms: -1056 + 20x + x2 = 1056 + -1056 Combine like terms: 1056 + -1056 = 0 -1056 + 20x + x2 = 0 Factor a trinomial. (-44 + -1x)(24 + -1x) = 0Subproblem 1
Set the factor '(-44 + -1x)' equal to zero and attempt to solve: Simplifying -44 + -1x = 0 Solving -44 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -1x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -1x = 0 + 44 -1x = 0 + 44 Combine like terms: 0 + 44 = 44 -1x = 44 Divide each side by '-1'. x = -44 Simplifying x = -44Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {-44, 24}
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