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Simplifying 972 = x2 + -9x Reorder the terms: 972 = -9x + x2 Solving 972 = -9x + x2 Solving for variable 'x'. Reorder the terms: 972 + 9x + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 972 + 9x + -1x2 = 0 + x2 + -1x2 972 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 972 + 9x + -1x2 = 0 Factor a trinomial. (36 + -1x)(27 + x) = 0Subproblem 1
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Subproblem 2
Set the factor '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27Solution
x = {36, -27}
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