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Simplifying 3x3 = 18x2 + 21x Reorder the terms: 3x3 = 21x + 18x2 Solving 3x3 = 21x + 18x2 Solving for variable 'x'. Reorder the terms: -21x + -18x2 + 3x3 = 21x + 18x2 + -21x + -18x2 Reorder the terms: -21x + -18x2 + 3x3 = 21x + -21x + 18x2 + -18x2 Combine like terms: 21x + -21x = 0 -21x + -18x2 + 3x3 = 0 + 18x2 + -18x2 -21x + -18x2 + 3x3 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -21x + -18x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-7 + -6x + x2) = 0 Factor a trinomial. 3x((-1 + -1x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 3
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 = 7Solution
x = {0, -1, 7}
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