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Simplifying 70 = 70 + -4t + -16t2 Add '-70' to each side of the equation. 70 + -70 = 70 + -4t + -70 + -16t2 Combine like terms: 70 + -70 = 0 0 = 70 + -4t + -70 + -16t2 Reorder the terms: 0 = 70 + -70 + -4t + -16t2 Combine like terms: 70 + -70 = 0 0 = 0 + -4t + -16t2 0 = -4t + -16t2 Solving 0 = -4t + -16t2 Solving for variable 't'. Remove the zero: 4t + 16t2 = -4t + -16t2 + 4t + 16t2 Reorder the terms: 4t + 16t2 = -4t + 4t + -16t2 + 16t2 Combine like terms: -4t + 4t = 0 4t + 16t2 = 0 + -16t2 + 16t2 4t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 4t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(1 + 4t) = 0 Ignore the factor 4.Subproblem 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 '(1 + 4t)' equal to zero and attempt to solve: Simplifying 1 + 4t = 0 Solving 1 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 0 + -1 4t = 0 + -1 Combine like terms: 0 + -1 = -1 4t = -1 Divide each side by '4'. t = -0.25 Simplifying t = -0.25Solution
t = {0, -0.25}
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