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Simplifying 3x + -11 = x2 + -10x + 25 Reorder the terms: -11 + 3x = x2 + -10x + 25 Reorder the terms: -11 + 3x = 25 + -10x + x2 Solving -11 + 3x = 25 + -10x + x2 Solving for variable 'x'. Reorder the terms: -11 + -25 + 3x + 10x + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2 Combine like terms: -11 + -25 = -36 -36 + 3x + 10x + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2 Combine like terms: 3x + 10x = 13x -36 + 13x + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2 Reorder the terms: -36 + 13x + -1x2 = 25 + -25 + -10x + 10x + x2 + -1x2 Combine like terms: 25 + -25 = 0 -36 + 13x + -1x2 = 0 + -10x + 10x + x2 + -1x2 -36 + 13x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 -36 + 13x + -1x2 = 0 + x2 + -1x2 -36 + 13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -36 + 13x + -1x2 = 0 Factor a trinomial. (-9 + x)(4 + -1x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {9, 4}
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