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Simplifying t(t + -2) + 3t(t + -2) = 0 Reorder the terms: t(-2 + t) + 3t(t + -2) = 0 (-2 * t + t * t) + 3t(t + -2) = 0 (-2t + t2) + 3t(t + -2) = 0 Reorder the terms: -2t + t2 + 3t(-2 + t) = 0 -2t + t2 + (-2 * 3t + t * 3t) = 0 -2t + t2 + (-6t + 3t2) = 0 Reorder the terms: -2t + -6t + t2 + 3t2 = 0 Combine like terms: -2t + -6t = -8t -8t + t2 + 3t2 = 0 Combine like terms: t2 + 3t2 = 4t2 -8t + 4t2 = 0 Solving -8t + 4t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(-2 + t) = 0 Ignore the factor 4.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 + 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 = {0, 2}
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