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Simplifying 36x + -228 = 3x2 + -12x + -9x + 36 Reorder the terms: -228 + 36x = 3x2 + -12x + -9x + 36 Reorder the terms: -228 + 36x = 36 + -12x + -9x + 3x2 Combine like terms: -12x + -9x = -21x -228 + 36x = 36 + -21x + 3x2 Solving -228 + 36x = 36 + -21x + 3x2 Solving for variable 'x'. Reorder the terms: -228 + -36 + 36x + 21x + -3x2 = 36 + -21x + 3x2 + -36 + 21x + -3x2 Combine like terms: -228 + -36 = -264 -264 + 36x + 21x + -3x2 = 36 + -21x + 3x2 + -36 + 21x + -3x2 Combine like terms: 36x + 21x = 57x -264 + 57x + -3x2 = 36 + -21x + 3x2 + -36 + 21x + -3x2 Reorder the terms: -264 + 57x + -3x2 = 36 + -36 + -21x + 21x + 3x2 + -3x2 Combine like terms: 36 + -36 = 0 -264 + 57x + -3x2 = 0 + -21x + 21x + 3x2 + -3x2 -264 + 57x + -3x2 = -21x + 21x + 3x2 + -3x2 Combine like terms: -21x + 21x = 0 -264 + 57x + -3x2 = 0 + 3x2 + -3x2 -264 + 57x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -264 + 57x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-88 + 19x + -1x2) = 0 Factor a trinomial. 3((-11 + x)(8 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Simplifying x = 11Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {11, 8}
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