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Simplifying 15X4 + -21X3 + -18X2 = 0 Reorder the terms: -18X2 + -21X3 + 15X4 = 0 Solving -18X2 + -21X3 + 15X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3X2'. 3X2(-6 + -7X + 5X2) = 0 Factor a trinomial. 3X2((-3 + -5X)(2 + -1X)) = 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 + -5X)' equal to zero and attempt to solve: Simplifying -3 + -5X = 0 Solving -3 + -5X = 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 + -5X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5X = 0 + 3 -5X = 0 + 3 Combine like terms: 0 + 3 = 3 -5X = 3 Divide each side by '-5'. X = -0.6 Simplifying X = -0.6Subproblem 3
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Solution
X = {0, -0.6, 2}
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