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Simplifying x2 + 15x = x + 15 Reorder the terms: 15x + x2 = x + 15 Reorder the terms: 15x + x2 = 15 + x Solving 15x + x2 = 15 + x Solving for variable 'x'. Reorder the terms: -15 + 15x + -1x + x2 = 15 + x + -15 + -1x Combine like terms: 15x + -1x = 14x -15 + 14x + x2 = 15 + x + -15 + -1x Reorder the terms: -15 + 14x + x2 = 15 + -15 + x + -1x Combine like terms: 15 + -15 = 0 -15 + 14x + x2 = 0 + x + -1x -15 + 14x + x2 = x + -1x Combine like terms: x + -1x = 0 -15 + 14x + x2 = 0 Factor a trinomial. (-15 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-15, 1}
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