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Simplifying 2 = -5t2 + -3t + 2 Reorder the terms: 2 = 2 + -3t + -5t2 Add '-2' to each side of the equation. 2 + -2 = 2 + -3t + -2 + -5t2 Combine like terms: 2 + -2 = 0 0 = 2 + -3t + -2 + -5t2 Reorder the terms: 0 = 2 + -2 + -3t + -5t2 Combine like terms: 2 + -2 = 0 0 = 0 + -3t + -5t2 0 = -3t + -5t2 Solving 0 = -3t + -5t2 Solving for variable 't'. Remove the zero: 3t + 5t2 = -3t + -5t2 + 3t + 5t2 Reorder the terms: 3t + 5t2 = -3t + 3t + -5t2 + 5t2 Combine like terms: -3t + 3t = 0 3t + 5t2 = 0 + -5t2 + 5t2 3t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 3t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(3 + 5t) = 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 '(3 + 5t)' equal to zero and attempt to solve: Simplifying 3 + 5t = 0 Solving 3 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5t = 0 + -3 5t = 0 + -3 Combine like terms: 0 + -3 = -3 5t = -3 Divide each side by '5'. t = -0.6 Simplifying t = -0.6Solution
t = {0, -0.6}
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