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Simplifying (5x)(-9x3 + 6x2) = 0 Remove parenthesis around (5x) 5x(-9x3 + 6x2) = 0 Reorder the terms: 5x(6x2 + -9x3) = 0 (6x2 * 5x + -9x3 * 5x) = 0 (30x3 + -45x4) = 0 Solving 30x3 + -45x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x3'. 15x3(2 + -3x) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 = 0.6666666667Solution
x = {0.6666666667}
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