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Simplifying 0 = 4x3 + 6x2 Reorder the terms: 0 = 6x2 + 4x3 Solving 0 = 6x2 + 4x3 Solving for variable 'x'. Remove the zero: -6x2 + -4x3 = 6x2 + 4x3 + -6x2 + -4x3 Reorder the terms: -6x2 + -4x3 = 6x2 + -6x2 + 4x3 + -4x3 Combine like terms: 6x2 + -6x2 = 0 -6x2 + -4x3 = 0 + 4x3 + -4x3 -6x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -6x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '-2x2'. -2x2(3 + 2x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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