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Simplifying (x + -5) = x2 + -14x + 49 Reorder the terms: (-5 + x) = x2 + -14x + 49 Remove parenthesis around (-5 + x) -5 + x = x2 + -14x + 49 Reorder the terms: -5 + x = 49 + -14x + x2 Solving -5 + x = 49 + -14x + x2 Solving for variable 'x'. Reorder the terms: -5 + -49 + x + 14x + -1x2 = 49 + -14x + x2 + -49 + 14x + -1x2 Combine like terms: -5 + -49 = -54 -54 + x + 14x + -1x2 = 49 + -14x + x2 + -49 + 14x + -1x2 Combine like terms: x + 14x = 15x -54 + 15x + -1x2 = 49 + -14x + x2 + -49 + 14x + -1x2 Reorder the terms: -54 + 15x + -1x2 = 49 + -49 + -14x + 14x + x2 + -1x2 Combine like terms: 49 + -49 = 0 -54 + 15x + -1x2 = 0 + -14x + 14x + x2 + -1x2 -54 + 15x + -1x2 = -14x + 14x + x2 + -1x2 Combine like terms: -14x + 14x = 0 -54 + 15x + -1x2 = 0 + x2 + -1x2 -54 + 15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -54 + 15x + -1x2 = 0 Factor a trinomial. (-9 + x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {9, 6}
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