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Simplifying (3x3 + 9x)(x2 + -2) = 0 Reorder the terms: (9x + 3x3)(x2 + -2) = 0 Reorder the terms: (9x + 3x3)(-2 + x2) = 0 Multiply (9x + 3x3) * (-2 + x2) (9x * (-2 + x2) + 3x3 * (-2 + x2)) = 0 ((-2 * 9x + x2 * 9x) + 3x3 * (-2 + x2)) = 0 ((-18x + 9x3) + 3x3 * (-2 + x2)) = 0 (-18x + 9x3 + (-2 * 3x3 + x2 * 3x3)) = 0 (-18x + 9x3 + (-6x3 + 3x5)) = 0 Combine like terms: 9x3 + -6x3 = 3x3 (-18x + 3x3 + 3x5) = 0 Solving -18x + 3x3 + 3x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-6 + x2 + x4) = 0 Factor a trinomial. 3x((-3 + -1x2)(2 + -1x2)) = 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 + -1x2)' equal to zero and attempt to solve: Simplifying -3 + -1x2 = 0 Solving -3 + -1x2 = 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 + -1x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x2 = 0 + 3 -1x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1x2 = 3 Divide each side by '-1'. x2 = -3 Simplifying x2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Solution
x = {0, -1.414213562, 1.414213562}
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