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Simplifying 4x2 + -36x = 3888 Reorder the terms: -36x + 4x2 = 3888 Solving -36x + 4x2 = 3888 Solving for variable 'x'. Reorder the terms: -3888 + -36x + 4x2 = 3888 + -3888 Combine like terms: 3888 + -3888 = 0 -3888 + -36x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-972 + -9x + x2) = 0 Factor a trinomial. 4((-27 + -1x)(36 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-27 + -1x)' equal to zero and attempt to solve: Simplifying -27 + -1x = 0 Solving -27 + -1x = 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 + -1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 0 + 27 -1x = 0 + 27 Combine like terms: 0 + 27 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27Subproblem 2
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 = 36Solution
x = {-27, 36}
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