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Simplifying x2 = 80(x + 160) Reorder the terms: x2 = 80(160 + x) x2 = (160 * 80 + x * 80) x2 = (12800 + 80x) Solving x2 = 12800 + 80x Solving for variable 'x'. Reorder the terms: -12800 + -80x + x2 = 12800 + 80x + -12800 + -80x Reorder the terms: -12800 + -80x + x2 = 12800 + -12800 + 80x + -80x Combine like terms: 12800 + -12800 = 0 -12800 + -80x + x2 = 0 + 80x + -80x -12800 + -80x + x2 = 80x + -80x Combine like terms: 80x + -80x = 0 -12800 + -80x + x2 = 0 Factor a trinomial. (-80 + -1x)(160 + -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 '(160 + -1x)' equal to zero and attempt to solve: Simplifying 160 + -1x = 0 Solving 160 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + -1x = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -1x = 0 + -160 -1x = 0 + -160 Combine like terms: 0 + -160 = -160 -1x = -160 Divide each side by '-1'. x = 160 Simplifying x = 160Solution
x = {-80, 160}
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