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Simplifying h(t) = 2t + 4findh(4t) Multiply h * t ht = 2t + 4findh(4t) Remove parenthesis around (4t) ht = 2t + 4dfhin * 4t Reorder the terms for easier multiplication: ht = 2t + 4 * 4dfhin * t Multiply 4 * 4 ht = 2t + 16dfhin * t Multiply dfhin * t ht = 2t + 16dfhint Reorder the terms: ht = 16dfhint + 2t Solving ht = 16dfhint + 2t Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-16dfhint' to each side of the equation. -16dfhint + ht = 16dfhint + -16dfhint + 2t Combine like terms: 16dfhint + -16dfhint = 0 -16dfhint + ht = 0 + 2t -16dfhint + ht = 2t Combine like terms: 2t + -2t = 0 -16dfhint + ht + -2t = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-16dfhin + h + -2) = 0Subproblem 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 '(-16dfhin + h + -2)' equal to zero and attempt to solve: Simplifying -16dfhin + h + -2 = 0 Reorder the terms: -2 + -16dfhin + h = 0 Solving -2 + -16dfhin + h = 0 Move all terms containing h to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -16dfhin + 2 + h = 0 + 2 Reorder the terms: -2 + 2 + -16dfhin + h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -16dfhin + h = 0 + 2 -16dfhin + h = 0 + 2 Combine like terms: 0 + 2 = 2 -16dfhin + h = 2 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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