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Simplifying (2x2 + -3x3)(9x2 + -5x3) = 0 Multiply (2x2 + -3x3) * (9x2 + -5x3) (2x2 * (9x2 + -5x3) + -3x3 * (9x2 + -5x3)) = 0 ((9x2 * 2x2 + -5x3 * 2x2) + -3x3 * (9x2 + -5x3)) = 0 ((18x4 + -10x5) + -3x3 * (9x2 + -5x3)) = 0 (18x4 + -10x5 + (9x2 * -3x3 + -5x3 * -3x3)) = 0 (18x4 + -10x5 + (-27x5 + 15x6)) = 0 Combine like terms: -10x5 + -27x5 = -37x5 (18x4 + -37x5 + 15x6) = 0 Solving 18x4 + -37x5 + 15x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(18 + -37x + 15x2) = 0 Factor a trinomial. x4((2 + -3x)(9 + -5x)) = 0Subproblem 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 '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {0.6666666667, 1.8}
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