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Simplifying -4h(h + 2) + h(2h + -3) = 0 Reorder the terms: -4h(2 + h) + h(2h + -3) = 0 (2 * -4h + h * -4h) + h(2h + -3) = 0 (-8h + -4h2) + h(2h + -3) = 0 Reorder the terms: -8h + -4h2 + h(-3 + 2h) = 0 -8h + -4h2 + (-3 * h + 2h * h) = 0 -8h + -4h2 + (-3h + 2h2) = 0 Reorder the terms: -8h + -3h + -4h2 + 2h2 = 0 Combine like terms: -8h + -3h = -11h -11h + -4h2 + 2h2 = 0 Combine like terms: -4h2 + 2h2 = -2h2 -11h + -2h2 = 0 Solving -11h + -2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '-1h'. -1h(11 + 2h) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0Subproblem 2
Set the factor '(11 + 2h)' equal to zero and attempt to solve: Simplifying 11 + 2h = 0 Solving 11 + 2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2h = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2h = 0 + -11 2h = 0 + -11 Combine like terms: 0 + -11 = -11 2h = -11 Divide each side by '2'. h = -5.5 Simplifying h = -5.5Solution
h = {0, -5.5}
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