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Simplifying 6(h * h) + 2h = 28 Multiply h * h 6(h2) + 2h = 28 Reorder the terms: 2h + 6h2 = 28 Solving 2h + 6h2 = 28 Solving for variable 'h'. Reorder the terms: -28 + 2h + 6h2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 2h + 6h2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + h + 3h2) = 0 Factor a trinomial. 2((-7 + -3h)(2 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -3h)' equal to zero and attempt to solve: Simplifying -7 + -3h = 0 Solving -7 + -3h = 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 + -3h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3h = 0 + 7 -3h = 0 + 7 Combine like terms: 0 + 7 = 7 -3h = 7 Divide each side by '-3'. h = -2.333333333 Simplifying h = -2.333333333Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 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 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {-2.333333333, 2}
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