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Simplifying x(x + 20) = 1344 Reorder the terms: x(20 + x) = 1344 (20 * x + x * x) = 1344 (20x + x2) = 1344 Solving 20x + x2 = 1344 Solving for variable 'x'. Reorder the terms: -1344 + 20x + x2 = 1344 + -1344 Combine like terms: 1344 + -1344 = 0 -1344 + 20x + x2 = 0 Factor a trinomial. (-48 + -1x)(28 + -1x) = 0Subproblem 1
Set the factor '(-48 + -1x)' equal to zero and attempt to solve: Simplifying -48 + -1x = 0 Solving -48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -1x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = 0 + 48 -1x = 0 + 48 Combine like terms: 0 + 48 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-48, 28}
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