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Simplifying (3x3 + 4x2) + (3x3 + -4x2 + -9x) = 0 Reorder the terms: (4x2 + 3x3) + (3x3 + -4x2 + -9x) = 0 Remove parenthesis around (4x2 + 3x3) 4x2 + 3x3 + (3x3 + -4x2 + -9x) = 0 Reorder the terms: 4x2 + 3x3 + (-9x + -4x2 + 3x3) = 0 Remove parenthesis around (-9x + -4x2 + 3x3) 4x2 + 3x3 + -9x + -4x2 + 3x3 = 0 Reorder the terms: -9x + 4x2 + -4x2 + 3x3 + 3x3 = 0 Combine like terms: 4x2 + -4x2 = 0 -9x + 0 + 3x3 + 3x3 = 0 -9x + 3x3 + 3x3 = 0 Combine like terms: 3x3 + 3x3 = 6x3 -9x + 6x3 = 0 Solving -9x + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-3 + 2x2) = 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 '(-3 + 2x2)' equal to zero and attempt to solve: Simplifying -3 + 2x2 = 0 Solving -3 + 2x2 = 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 + 2x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x2 = 0 + 3 2x2 = 0 + 3 Combine like terms: 0 + 3 = 3 2x2 = 3 Divide each side by '2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Solution
x = {0, -1.224744871, 1.224744871}
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