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Simplifying H(t) = 16t2 + ht Multiply H * t tH = 16t2 + ht Reorder the terms: tH = ht + 16t2 Solving tH = ht + 16t2 Solving for variable 't'. Reorder the terms: -1ht + tH + -16t2 = ht + 16t2 + -1ht + -16t2 Reorder the terms: -1ht + tH + -16t2 = ht + -1ht + 16t2 + -16t2 Combine like terms: ht + -1ht = 0 -1ht + tH + -16t2 = 0 + 16t2 + -16t2 -1ht + tH + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -1ht + tH + -16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-1h + H + -16t) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(-1h + H + -16t)' equal to zero and attempt to solve: Simplifying -1h + H + -16t = 0 Reorder the terms: H + -1h + -16t = 0 Solving H + -1h + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1H' to each side of the equation. H + -1h + -1H + -16t = 0 + -1H Reorder the terms: H + -1H + -1h + -16t = 0 + -1H Combine like terms: H + -1H = 0 0 + -1h + -16t = 0 + -1H -1h + -16t = 0 + -1H Remove the zero: -1h + -16t = -1H Add 'h' to each side of the equation. -1h + h + -16t = -1H + h Combine like terms: -1h + h = 0 0 + -16t = -1H + h -16t = -1H + h Divide each side by '-16'. t = 0.0625H + -0.0625h Simplifying t = 0.0625H + -0.0625hSolution
t = {0, 0.0625H + -0.0625h}
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