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Simplifying 4h * -2h(h + -2) = 0 Reorder the terms: 4h * -2h(-2 + h) = 0 Reorder the terms for easier multiplication: 4 * -2h * h(-2 + h) = 0 Multiply 4 * -2 -8h * h(-2 + h) = 0 Multiply h * h -8h2(-2 + h) = 0 (-2 * -8h2 + h * -8h2) = 0 (16h2 + -8h3) = 0 Solving 16h2 + -8h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '8h2'. 8h2(2 + -1h) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve: Simplifying h2 = 0 Solving h2 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h2 = 0 Take the square root of each side: h = {0}Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {0, 2}
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