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Simplifying (4h + 3)(4h + 3) = 0 Reorder the terms: (3 + 4h)(4h + 3) = 0 Reorder the terms: (3 + 4h)(3 + 4h) = 0 Multiply (3 + 4h) * (3 + 4h) (3(3 + 4h) + 4h * (3 + 4h)) = 0 ((3 * 3 + 4h * 3) + 4h * (3 + 4h)) = 0 ((9 + 12h) + 4h * (3 + 4h)) = 0 (9 + 12h + (3 * 4h + 4h * 4h)) = 0 (9 + 12h + (12h + 16h2)) = 0 Combine like terms: 12h + 12h = 24h (9 + 24h + 16h2) = 0 Solving 9 + 24h + 16h2 = 0 Solving for variable 'h'. Factor a trinomial. (3 + 4h)(3 + 4h) = 0Subproblem 1
Set the factor '(3 + 4h)' equal to zero and attempt to solve: Simplifying 3 + 4h = 0 Solving 3 + 4h = 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 + 4h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4h = 0 + -3 4h = 0 + -3 Combine like terms: 0 + -3 = -3 4h = -3 Divide each side by '4'. h = -0.75 Simplifying h = -0.75Subproblem 2
Set the factor '(3 + 4h)' equal to zero and attempt to solve: Simplifying 3 + 4h = 0 Solving 3 + 4h = 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 + 4h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4h = 0 + -3 4h = 0 + -3 Combine like terms: 0 + -3 = -3 4h = -3 Divide each side by '4'. h = -0.75 Simplifying h = -0.75Solution
h = {-0.75, -0.75}
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