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Simplifying 0 = t(7t + 2) Reorder the terms: 0 = t(2 + 7t) 0 = (2 * t + 7t * t) 0 = (2t + 7t2) Solving 0 = 2t + 7t2 Solving for variable 't'. Remove the zero: -2t + -7t2 = 2t + 7t2 + -2t + -7t2 Reorder the terms: -2t + -7t2 = 2t + -2t + 7t2 + -7t2 Combine like terms: 2t + -2t = 0 -2t + -7t2 = 0 + 7t2 + -7t2 -2t + -7t2 = 7t2 + -7t2 Combine like terms: 7t2 + -7t2 = 0 -2t + -7t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(2 + 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 '(2 + 7t)' equal to zero and attempt to solve: Simplifying 2 + 7t = 0 Solving 2 + 7t = 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 + 7t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7t = 0 + -2 7t = 0 + -2 Combine like terms: 0 + -2 = -2 7t = -2 Divide each side by '7'. t = -0.2857142857 Simplifying t = -0.2857142857Solution
t = {0, -0.2857142857}
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