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Simplifying x2 = 5(x + 150) Reorder the terms: x2 = 5(150 + x) x2 = (150 * 5 + x * 5) x2 = (750 + 5x) Solving x2 = 750 + 5x Solving for variable 'x'. Reorder the terms: -750 + -5x + x2 = 750 + 5x + -750 + -5x Reorder the terms: -750 + -5x + x2 = 750 + -750 + 5x + -5x Combine like terms: 750 + -750 = 0 -750 + -5x + x2 = 0 + 5x + -5x -750 + -5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -750 + -5x + x2 = 0 Factor a trinomial. (-25 + -1x)(30 + -1x) = 0Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve: Simplifying -25 + -1x = 0 Solving -25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = 0 + 25 -1x = 0 + 25 Combine like terms: 0 + 25 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {-25, 30}
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