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Simplifying H(t) = 49t2 + 14.7t Multiply H * t tH = 49t2 + 14.7t Reorder the terms: tH = 14.7t + 49t2 Solving tH = 14.7t + 49t2 Solving for variable 't'. Reorder the terms: -14.7t + tH + -49t2 = 14.7t + 49t2 + -14.7t + -49t2 Reorder the terms: -14.7t + tH + -49t2 = 14.7t + -14.7t + 49t2 + -49t2 Combine like terms: 14.7t + -14.7t = 0.0 -14.7t + tH + -49t2 = 0.0 + 49t2 + -49t2 -14.7t + tH + -49t2 = 49t2 + -49t2 Combine like terms: 49t2 + -49t2 = 0 -14.7t + tH + -49t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-14.7 + H + -49t) = 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 '(-14.7 + H + -49t)' equal to zero and attempt to solve: Simplifying -14.7 + H + -49t = 0 Solving -14.7 + H + -49t = 0 Move all terms containing t to the left, all other terms to the right. Add '14.7' to each side of the equation. -14.7 + H + 14.7 + -49t = 0 + 14.7 Reorder the terms: -14.7 + 14.7 + H + -49t = 0 + 14.7 Combine like terms: -14.7 + 14.7 = 0.0 0.0 + H + -49t = 0 + 14.7 H + -49t = 0 + 14.7 Combine like terms: 0 + 14.7 = 14.7 H + -49t = 14.7 Add '-1H' to each side of the equation. H + -1H + -49t = 14.7 + -1H Combine like terms: H + -1H = 0 0 + -49t = 14.7 + -1H -49t = 14.7 + -1H Divide each side by '-49'. t = -0.3 + 0.02040816327H Simplifying t = -0.3 + 0.02040816327HSolution
t = {0, -0.3 + 0.02040816327H}
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