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Simplifying (6h + -5)(6h + 5) = 0 Reorder the terms: (-5 + 6h)(6h + 5) = 0 Reorder the terms: (-5 + 6h)(5 + 6h) = 0 Multiply (-5 + 6h) * (5 + 6h) (-5(5 + 6h) + 6h * (5 + 6h)) = 0 ((5 * -5 + 6h * -5) + 6h * (5 + 6h)) = 0 ((-25 + -30h) + 6h * (5 + 6h)) = 0 (-25 + -30h + (5 * 6h + 6h * 6h)) = 0 (-25 + -30h + (30h + 36h2)) = 0 Combine like terms: -30h + 30h = 0 (-25 + 0 + 36h2) = 0 (-25 + 36h2) = 0 Solving -25 + 36h2 = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 36h2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 36h2 = 0 + 25 36h2 = 0 + 25 Combine like terms: 0 + 25 = 25 36h2 = 25 Divide each side by '36'. h2 = 0.6944444444 Simplifying h2 = 0.6944444444 Take the square root of each side: h = {-0.833333333, 0.833333333}
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