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Simplifying t(t + -2) + -3t(t + -3) = 0 Reorder the terms: t(-2 + t) + -3t(t + -3) = 0 (-2 * t + t * t) + -3t(t + -3) = 0 (-2t + t2) + -3t(t + -3) = 0 Reorder the terms: -2t + t2 + -3t(-3 + t) = 0 -2t + t2 + (-3 * -3t + t * -3t) = 0 -2t + t2 + (9t + -3t2) = 0 Reorder the terms: -2t + 9t + t2 + -3t2 = 0 Combine like terms: -2t + 9t = 7t 7t + t2 + -3t2 = 0 Combine like terms: t2 + -3t2 = -2t2 7t + -2t2 = 0 Solving 7t + -2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(7 + -2t) = 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 '(7 + -2t)' equal to zero and attempt to solve: Simplifying 7 + -2t = 0 Solving 7 + -2t = 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 + -2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = 0 + -7 -2t = 0 + -7 Combine like terms: 0 + -7 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5Solution
t = {0, 3.5}
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