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Simplifying t(7t + -4u + 2) = 0 Reorder the terms: t(2 + 7t + -4u) = 0 (2 * t + 7t * t + -4u * t) = 0 Reorder the terms: (2t + -4tu + 7t2) = 0 (2t + -4tu + 7t2) = 0 Solving 2t + -4tu + 7t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(2 + -4u + 7t) = 0Subproblem 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 + -4u + 7t)' equal to zero and attempt to solve: Simplifying 2 + -4u + 7t = 0 Reorder the terms: 2 + 7t + -4u = 0 Solving 2 + 7t + -4u = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7t + -2 + -4u = 0 + -2 Reorder the terms: 2 + -2 + 7t + -4u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7t + -4u = 0 + -2 7t + -4u = 0 + -2 Combine like terms: 0 + -2 = -2 7t + -4u = -2 Add '4u' to each side of the equation. 7t + -4u + 4u = -2 + 4u Combine like terms: -4u + 4u = 0 7t + 0 = -2 + 4u 7t = -2 + 4u Divide each side by '7'. t = -0.2857142857 + 0.5714285714u Simplifying t = -0.2857142857 + 0.5714285714uSolution
t = {0, -0.2857142857 + 0.5714285714u}
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