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Simplifying X4 + -6X3 = 27X2 Reorder the terms: -6X3 + X4 = 27X2 Solving -6X3 + X4 = 27X2 Solving for variable 'X'. Reorder the terms: -27X2 + -6X3 + X4 = 27X2 + -27X2 Combine like terms: 27X2 + -27X2 = 0 -27X2 + -6X3 + X4 = 0 Factor out the Greatest Common Factor (GCF), 'X2'. X2(-27 + -6X + X2) = 0 Factor a trinomial. X2((-3 + -1X)(9 + -1X)) = 0Subproblem 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 + -1X)' equal to zero and attempt to solve: Simplifying -3 + -1X = 0 Solving -3 + -1X = 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 + -1X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1X = 0 + 3 -1X = 0 + 3 Combine like terms: 0 + 3 = 3 -1X = 3 Divide each side by '-1'. X = -3 Simplifying X = -3Subproblem 3
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 = {0, -3, 9}
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