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Simplifying 3x2 + 81x + -972 = 0 Reorder the terms: -972 + 81x + 3x2 = 0 Solving -972 + 81x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-324 + 27x + x2) = 0 Factor a trinomial. 3((-36 + -1x)(9 + -1x)) = 0 Ignore the factor 3.Subproblem 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 '(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 = {-36, 9}
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