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Simplifying 15x = x2 + -100 Reorder the terms: 15x = -100 + x2 Solving 15x = -100 + x2 Solving for variable 'x'. Reorder the terms: 100 + 15x + -1x2 = -100 + x2 + 100 + -1x2 Reorder the terms: 100 + 15x + -1x2 = -100 + 100 + x2 + -1x2 Combine like terms: -100 + 100 = 0 100 + 15x + -1x2 = 0 + x2 + -1x2 100 + 15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 100 + 15x + -1x2 = 0 Factor a trinomial. (20 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {20, -5}
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