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Simplifying 0 = 3x(2x2 + -5) Reorder the terms: 0 = 3x(-5 + 2x2) 0 = (-5 * 3x + 2x2 * 3x) 0 = (-15x + 6x3) Solving 0 = -15x + 6x3 Solving for variable 'x'. Remove the zero: 15x + -6x3 = -15x + 6x3 + 15x + -6x3 Reorder the terms: 15x + -6x3 = -15x + 15x + 6x3 + -6x3 Combine like terms: -15x + 15x = 0 15x + -6x3 = 0 + 6x3 + -6x3 15x + -6x3 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 15x + -6x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(5 + -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 '(5 + -2x2)' equal to zero and attempt to solve: Simplifying 5 + -2x2 = 0 Solving 5 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x2 = 0 + -5 -2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x2 = -5 Divide each side by '-2'. x2 = 2.5 Simplifying x2 = 2.5 Take the square root of each side: x = {-1.58113883, 1.58113883}Solution
x = {0, -1.58113883, 1.58113883}
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