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Simplifying (4x3) + -9x = 0 Reorder the terms: -9x + (4x3) = 0 Solving -9x + (4x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + (4x2)) = 0 Factor a difference between two squares. x((3 + (2x))(-3 + (2x))) = 0Subproblem 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 '(3 + (2x))' equal to zero and attempt to solve: Simplifying 3 + (2x) = 0 Solving 3 + (2x) = 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 + (2x) = 0 + -3 Combine like terms: 3 + -3 = 0 0 + (2x) = 0 + -3 (2x) = 0 + -3 Combine like terms: 0 + -3 = -3 (2x) = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 3
Set the factor '(-3 + (2x))' equal to zero and attempt to solve: Simplifying -3 + (2x) = 0 Solving -3 + (2x) = 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 + (2x) = 0 + 3 Combine like terms: -3 + 3 = 0 0 + (2x) = 0 + 3 (2x) = 0 + 3 Combine like terms: 0 + 3 = 3 (2x) = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, -1.5, 1.5}
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