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Simplifying (12h)(-3h + 2) = 0 Remove parenthesis around (12h) 12h(-3h + 2) = 0 Reorder the terms: 12h(2 + -3h) = 0 (2 * 12h + -3h * 12h) = 0 (24h + -36h2) = 0 Solving 24h + -36h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '12h'. 12h(2 + -3h) = 0 Ignore the factor 12.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 '(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 = {0, 0.6666666667}
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