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Simplifying (9x4 + -15x3 + 6x2) * 3x2 = 0 Reorder the terms: (6x2 + -15x3 + 9x4) * 3x2 = 0 Reorder the terms for easier multiplication: 3x2(6x2 + -15x3 + 9x4) = 0 (6x2 * 3x2 + -15x3 * 3x2 + 9x4 * 3x2) = 0 (18x4 + -45x5 + 27x6) = 0 Solving 18x4 + -45x5 + 27x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x4'. 9x4(2 + -5x + 3x2) = 0 Factor a trinomial. 9x4((2 + -3x)(1 + -1x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.6666666667, 1}
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