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Simplifying 4(h + 2) = 3h(h + -2) Reorder the terms: 4(2 + h) = 3h(h + -2) (2 * 4 + h * 4) = 3h(h + -2) (8 + 4h) = 3h(h + -2) Reorder the terms: 8 + 4h = 3h(-2 + h) 8 + 4h = (-2 * 3h + h * 3h) 8 + 4h = (-6h + 3h2) Solving 8 + 4h = -6h + 3h2 Solving for variable 'h'. Combine like terms: 4h + 6h = 10h 8 + 10h + -3h2 = -6h + 3h2 + 6h + -3h2 Reorder the terms: 8 + 10h + -3h2 = -6h + 6h + 3h2 + -3h2 Combine like terms: -6h + 6h = 0 8 + 10h + -3h2 = 0 + 3h2 + -3h2 8 + 10h + -3h2 = 3h2 + -3h2 Combine like terms: 3h2 + -3h2 = 0 8 + 10h + -3h2 = 0 Factor a trinomial. (4 + -1h)(2 + 3h) = 0Subproblem 1
Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Divide each side by '-1'. h = 4 Simplifying h = 4Subproblem 2
Set the factor '(2 + 3h)' equal to zero and attempt to solve: Simplifying 2 + 3h = 0 Solving 2 + 3h = 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 + 3h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3h = 0 + -2 3h = 0 + -2 Combine like terms: 0 + -2 = -2 3h = -2 Divide each side by '3'. h = -0.6666666667 Simplifying h = -0.6666666667Solution
h = {4, -0.6666666667}
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