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Simplifying 200(t + h) * 2t * h + -1(200t * 2t) = 0 Reorder the terms: 200(h + t) * 2t * h + -1(200t * 2t) = 0 Reorder the terms for easier multiplication: 200 * 2t * h(h + t) + -1(200t * 2t) = 0 Multiply 200 * 2 400t * h(h + t) + -1(200t * 2t) = 0 Multiply t * h 400ht(h + t) + -1(200t * 2t) = 0 (h * 400ht + t * 400ht) + -1(200t * 2t) = 0 Reorder the terms: (400ht2 + 400h2t) + -1(200t * 2t) = 0 (400ht2 + 400h2t) + -1(200t * 2t) = 0 Reorder the terms for easier multiplication: 400ht2 + 400h2t + -1(200 * 2t * t) = 0 Multiply 200 * 2 400ht2 + 400h2t + -1(400t * t) = 0 Multiply t * t 400ht2 + 400h2t + -1(400t2) = 0 Remove parenthesis around (400t2) 400ht2 + 400h2t + -1 * 400t2 = 0 Multiply -1 * 400 400ht2 + 400h2t + -400t2 = 0 Solving 400ht2 + 400h2t + -400t2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '400t'. 400t(ht + h2 + -1t) = 0 Ignore the factor 400.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing h to the left, all other terms to the right. Add '-1t' to each side of the equation. t + -1t = 0 + -1t Remove the zero: 0 = -1t Simplifying 0 = -1t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(ht + h2 + -1t)' equal to zero and attempt to solve: Simplifying ht + h2 + -1t = 0 Solving ht + h2 + -1t = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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