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Simplifying 0 = 7t2 + 25t Reorder the terms: 0 = 25t + 7t2 Solving 0 = 25t + 7t2 Solving for variable 't'. Remove the zero: -25t + -7t2 = 25t + 7t2 + -25t + -7t2 Reorder the terms: -25t + -7t2 = 25t + -25t + 7t2 + -7t2 Combine like terms: 25t + -25t = 0 -25t + -7t2 = 0 + 7t2 + -7t2 -25t + -7t2 = 7t2 + -7t2 Combine like terms: 7t2 + -7t2 = 0 -25t + -7t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(25 + 7t) = 0 Ignore the factor -1.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 '(25 + 7t)' equal to zero and attempt to solve: Simplifying 25 + 7t = 0 Solving 25 + 7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 7t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 7t = 0 + -25 7t = 0 + -25 Combine like terms: 0 + -25 = -25 7t = -25 Divide each side by '7'. t = -3.571428571 Simplifying t = -3.571428571Solution
t = {0, -3.571428571}
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