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Simplifying x2 + 36x = 576 Reorder the terms: 36x + x2 = 576 Solving 36x + x2 = 576 Solving for variable 'x'. Reorder the terms: -576 + 36x + x2 = 576 + -576 Combine like terms: 576 + -576 = 0 -576 + 36x + x2 = 0 Factor a trinomial. (-48 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-48, 12}
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