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Simplifying h(t) = 2(-2 + -4t)(2t + -5) Multiply h * t ht = 2(-2 + -4t)(2t + -5) Reorder the terms: ht = 2(-2 + -4t)(-5 + 2t) Multiply (-2 + -4t) * (-5 + 2t) ht = 2(-2(-5 + 2t) + -4t * (-5 + 2t)) ht = 2((-5 * -2 + 2t * -2) + -4t * (-5 + 2t)) ht = 2((10 + -4t) + -4t * (-5 + 2t)) ht = 2(10 + -4t + (-5 * -4t + 2t * -4t)) ht = 2(10 + -4t + (20t + -8t2)) Combine like terms: -4t + 20t = 16t ht = 2(10 + 16t + -8t2) ht = (10 * 2 + 16t * 2 + -8t2 * 2) ht = (20 + 32t + -16t2) Solving ht = 20 + 32t + -16t2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 't'. h = 20t-1 + 32 + -16t Simplifying h = 20t-1 + 32 + -16t Reorder the terms: h = 32 + 20t-1 + -16t
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