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Simplifying x2 + 40x + -384 = 0 Reorder the terms: -384 + 40x + x2 = 0 Solving -384 + 40x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-48 + -1x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-48, 8}
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