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Simplifying x2 + 48x + 576 = 100x Reorder the terms: 576 + 48x + x2 = 100x Solving 576 + 48x + x2 = 100x Solving for variable 'x'. Reorder the terms: 576 + 48x + -100x + x2 = 100x + -100x Combine like terms: 48x + -100x = -52x 576 + -52x + x2 = 100x + -100x Combine like terms: 100x + -100x = 0 576 + -52x + x2 = 0 Factor a trinomial. (16 + -1x)(36 + -1x) = 0Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {16, 36}
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