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Simplifying (7h + -6)(6h + 7) = 0 Reorder the terms: (-6 + 7h)(6h + 7) = 0 Reorder the terms: (-6 + 7h)(7 + 6h) = 0 Multiply (-6 + 7h) * (7 + 6h) (-6(7 + 6h) + 7h * (7 + 6h)) = 0 ((7 * -6 + 6h * -6) + 7h * (7 + 6h)) = 0 ((-42 + -36h) + 7h * (7 + 6h)) = 0 (-42 + -36h + (7 * 7h + 6h * 7h)) = 0 (-42 + -36h + (49h + 42h2)) = 0 Combine like terms: -36h + 49h = 13h (-42 + 13h + 42h2) = 0 Solving -42 + 13h + 42h2 = 0 Solving for variable 'h'. Factor a trinomial. (-7 + -6h)(6 + -7h) = 0Subproblem 1
Set the factor '(-7 + -6h)' equal to zero and attempt to solve: Simplifying -7 + -6h = 0 Solving -7 + -6h = 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 + -6h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6h = 0 + 7 -6h = 0 + 7 Combine like terms: 0 + 7 = 7 -6h = 7 Divide each side by '-6'. h = -1.166666667 Simplifying h = -1.166666667Subproblem 2
Set the factor '(6 + -7h)' equal to zero and attempt to solve: Simplifying 6 + -7h = 0 Solving 6 + -7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7h = 0 + -6 -7h = 0 + -6 Combine like terms: 0 + -6 = -6 -7h = -6 Divide each side by '-7'. h = 0.8571428571 Simplifying h = 0.8571428571Solution
h = {-1.166666667, 0.8571428571}
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