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Simplifying 3x4 + 27x2 = -18x3 Reorder the terms: 27x2 + 3x4 = -18x3 Solving 27x2 + 3x4 = -18x3 Solving for variable 'x'. Reorder the terms: 27x2 + 18x3 + 3x4 = -18x3 + 18x3 Combine like terms: -18x3 + 18x3 = 0 27x2 + 18x3 + 3x4 = 0 Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(9 + 6x + x2) = 0 Factor a trinomial. 3x2((3 + x)(3 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3, -3}
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