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Simplifying x2 + 56x + -1920 = 0 Reorder the terms: -1920 + 56x + x2 = 0 Solving -1920 + 56x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-80 + -1x)(24 + -1x) = 0Subproblem 1
Set the factor '(-80 + -1x)' equal to zero and attempt to solve: Simplifying -80 + -1x = 0 Solving -80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -1x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -1x = 0 + 80 -1x = 0 + 80 Combine like terms: 0 + 80 = 80 -1x = 80 Divide each side by '-1'. x = -80 Simplifying x = -80Subproblem 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 = {-80, 24}
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