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Simplifying (-2 + 3h)(-2 + 3h) = 4 Multiply (-2 + 3h) * (-2 + 3h) (-2(-2 + 3h) + 3h * (-2 + 3h)) = 4 ((-2 * -2 + 3h * -2) + 3h * (-2 + 3h)) = 4 ((4 + -6h) + 3h * (-2 + 3h)) = 4 (4 + -6h + (-2 * 3h + 3h * 3h)) = 4 (4 + -6h + (-6h + 9h2)) = 4 Combine like terms: -6h + -6h = -12h (4 + -12h + 9h2) = 4 Add '-4' to each side of the equation. 4 + -12h + -4 + 9h2 = 4 + -4 Reorder the terms: 4 + -4 + -12h + 9h2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -12h + 9h2 = 4 + -4 -12h + 9h2 = 4 + -4 Combine like terms: 4 + -4 = 0 -12h + 9h2 = 0 Solving -12h + 9h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3h'. 3h(-4 + 3h) = 0 Ignore the factor 3.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 '(-4 + 3h)' equal to zero and attempt to solve: Simplifying -4 + 3h = 0 Solving -4 + 3h = 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 + 3h = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3h = 0 + 4 3h = 0 + 4 Combine like terms: 0 + 4 = 4 3h = 4 Divide each side by '3'. h = 1.333333333 Simplifying h = 1.333333333Solution
h = {0, 1.333333333}
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