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Simplifying (7h + -4)(8h + 3) = 0 Reorder the terms: (-4 + 7h)(8h + 3) = 0 Reorder the terms: (-4 + 7h)(3 + 8h) = 0 Multiply (-4 + 7h) * (3 + 8h) (-4(3 + 8h) + 7h * (3 + 8h)) = 0 ((3 * -4 + 8h * -4) + 7h * (3 + 8h)) = 0 ((-12 + -32h) + 7h * (3 + 8h)) = 0 (-12 + -32h + (3 * 7h + 8h * 7h)) = 0 (-12 + -32h + (21h + 56h2)) = 0 Combine like terms: -32h + 21h = -11h (-12 + -11h + 56h2) = 0 Solving -12 + -11h + 56h2 = 0 Solving for variable 'h'. Factor a trinomial. (-3 + -8h)(4 + -7h) = 0Subproblem 1
Set the factor '(-3 + -8h)' equal to zero and attempt to solve: Simplifying -3 + -8h = 0 Solving -3 + -8h = 0 Move all terms containing h to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8h = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8h = 0 + 3 -8h = 0 + 3 Combine like terms: 0 + 3 = 3 -8h = 3 Divide each side by '-8'. h = -0.375 Simplifying h = -0.375Subproblem 2
Set the factor '(4 + -7h)' equal to zero and attempt to solve: Simplifying 4 + -7h = 0 Solving 4 + -7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7h = 0 + -4 -7h = 0 + -4 Combine like terms: 0 + -4 = -4 -7h = -4 Divide each side by '-7'. h = 0.5714285714 Simplifying h = 0.5714285714Solution
h = {-0.375, 0.5714285714}
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