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Simplifying 70 = -25t + 5t2 Solving 70 = -25t + 5t2 Solving for variable 't'. Reorder the terms: 70 + 25t + -5t2 = -25t + 25t + 5t2 + -5t2 Combine like terms: -25t + 25t = 0 70 + 25t + -5t2 = 0 + 5t2 + -5t2 70 + 25t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 70 + 25t + -5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(14 + 5t + -1t2) = 0 Factor a trinomial. 5((7 + -1t)(2 + t)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2Solution
t = {7, -2}
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