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Simplifying H(20t) = 20 + -16t2 + 32t Remove parenthesis around (20t) H * 20t = 20 + -16t2 + 32t Reorder the terms for easier multiplication: 20H * t = 20 + -16t2 + 32t Multiply H * t 20tH = 20 + -16t2 + 32t Reorder the terms: 20tH = 20 + 32t + -16t2 Solving 20tH = 20 + 32t + -16t2 Solving for variable 't'. Reorder the terms: -20 + -32t + 20tH + 16t2 = 20 + 32t + -16t2 + -20 + -32t + 16t2 Reorder the terms: -20 + -32t + 20tH + 16t2 = 20 + -20 + 32t + -32t + -16t2 + 16t2 Combine like terms: 20 + -20 = 0 -20 + -32t + 20tH + 16t2 = 0 + 32t + -32t + -16t2 + 16t2 -20 + -32t + 20tH + 16t2 = 32t + -32t + -16t2 + 16t2 Combine like terms: 32t + -32t = 0 -20 + -32t + 20tH + 16t2 = 0 + -16t2 + 16t2 -20 + -32t + 20tH + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -20 + -32t + 20tH + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + -8t + 5tH + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -8t + 5tH + 4t2)' equal to zero and attempt to solve: Simplifying -5 + -8t + 5tH + 4t2 = 0 Solving -5 + -8t + 5tH + 4t2 = 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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