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Simplifying 5 = h2 + -8h + 12 Reorder the terms: 5 = 12 + -8h + h2 Solving 5 = 12 + -8h + h2 Solving for variable 'h'. Combine like terms: 5 + -12 = -7 -7 + 8h + -1h2 = 12 + -8h + h2 + -12 + 8h + -1h2 Reorder the terms: -7 + 8h + -1h2 = 12 + -12 + -8h + 8h + h2 + -1h2 Combine like terms: 12 + -12 = 0 -7 + 8h + -1h2 = 0 + -8h + 8h + h2 + -1h2 -7 + 8h + -1h2 = -8h + 8h + h2 + -1h2 Combine like terms: -8h + 8h = 0 -7 + 8h + -1h2 = 0 + h2 + -1h2 -7 + 8h + -1h2 = h2 + -1h2 Combine like terms: h2 + -1h2 = 0 -7 + 8h + -1h2 = 0 Factor a trinomial. (-7 + h)(1 + -1h) = 0Subproblem 1
Set the factor '(-7 + h)' equal to zero and attempt to solve: Simplifying -7 + h = 0 Solving -7 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + h = 0 + 7 h = 0 + 7 Combine like terms: 0 + 7 = 7 h = 7 Simplifying h = 7Subproblem 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 = 1Solution
h = {7, 1}
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