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Simplifying 0 = 5x2(2x + -3) Reorder the terms: 0 = 5x2(-3 + 2x) 0 = (-3 * 5x2 + 2x * 5x2) 0 = (-15x2 + 10x3) Solving 0 = -15x2 + 10x3 Solving for variable 'x'. Remove the zero: 15x2 + -10x3 = -15x2 + 10x3 + 15x2 + -10x3 Reorder the terms: 15x2 + -10x3 = -15x2 + 15x2 + 10x3 + -10x3 Combine like terms: -15x2 + 15x2 = 0 15x2 + -10x3 = 0 + 10x3 + -10x3 15x2 + -10x3 = 10x3 + -10x3 Combine like terms: 10x3 + -10x3 = 0 15x2 + -10x3 = 0 Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(3 + -2x) = 0 Ignore the factor 5.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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