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Simplifying h(4h + -5)(h + 1) = 0 Reorder the terms: h(-5 + 4h)(h + 1) = 0 Reorder the terms: h(-5 + 4h)(1 + h) = 0 Multiply (-5 + 4h) * (1 + h) h(-5(1 + h) + 4h * (1 + h)) = 0 h((1 * -5 + h * -5) + 4h * (1 + h)) = 0 h((-5 + -5h) + 4h * (1 + h)) = 0 h(-5 + -5h + (1 * 4h + h * 4h)) = 0 h(-5 + -5h + (4h + 4h2)) = 0 Combine like terms: -5h + 4h = -1h h(-5 + -1h + 4h2) = 0 (-5 * h + -1h * h + 4h2 * h) = 0 (-5h + -1h2 + 4h3) = 0 Solving -5h + -1h2 + 4h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-5 + -1h + 4h2) = 0 Factor a trinomial. h((-1 + -1h)(5 + -4h)) = 0Subproblem 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 '(-1 + -1h)' equal to zero and attempt to solve: Simplifying -1 + -1h = 0 Solving -1 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1h = 0 + 1 -1h = 0 + 1 Combine like terms: 0 + 1 = 1 -1h = 1 Divide each side by '-1'. h = -1 Simplifying h = -1Subproblem 3
Set the factor '(5 + -4h)' equal to zero and attempt to solve: Simplifying 5 + -4h = 0 Solving 5 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4h = 0 + -5 -4h = 0 + -5 Combine like terms: 0 + -5 = -5 -4h = -5 Divide each side by '-4'. h = 1.25 Simplifying h = 1.25Solution
h = {0, -1, 1.25}
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