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Simplifying x2 + -2x + -54 = 9 Reorder the terms: -54 + -2x + x2 = 9 Solving -54 + -2x + x2 = 9 Solving for variable 'x'. Reorder the terms: -54 + -9 + -2x + x2 = 9 + -9 Combine like terms: -54 + -9 = -63 -63 + -2x + x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -63 + -2x + x2 = 0 Factor a trinomial. (-7 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-7, 9}
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