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Simplifying (h + -7)(2h + 1) = 0 Reorder the terms: (-7 + h)(2h + 1) = 0 Reorder the terms: (-7 + h)(1 + 2h) = 0 Multiply (-7 + h) * (1 + 2h) (-7(1 + 2h) + h(1 + 2h)) = 0 ((1 * -7 + 2h * -7) + h(1 + 2h)) = 0 ((-7 + -14h) + h(1 + 2h)) = 0 (-7 + -14h + (1 * h + 2h * h)) = 0 (-7 + -14h + (1h + 2h2)) = 0 Combine like terms: -14h + 1h = -13h (-7 + -13h + 2h2) = 0 Solving -7 + -13h + 2h2 = 0 Solving for variable 'h'. Factor a trinomial. (-1 + -2h)(7 + -1h) = 0Subproblem 1
Set the factor '(-1 + -2h)' equal to zero and attempt to solve: Simplifying -1 + -2h = 0 Solving -1 + -2h = 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 + -2h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2h = 0 + 1 -2h = 0 + 1 Combine like terms: 0 + 1 = 1 -2h = 1 Divide each side by '-2'. h = -0.5 Simplifying h = -0.5Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve: Simplifying 7 + -1h = 0 Solving 7 + -1h = 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 + -1h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 0 + -7 -1h = 0 + -7 Combine like terms: 0 + -7 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7Solution
h = {-0.5, 7}
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