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Simplifying 5(t2 + -3t + 2) = t(5t + -2) Reorder the terms: 5(2 + -3t + t2) = t(5t + -2) (2 * 5 + -3t * 5 + t2 * 5) = t(5t + -2) (10 + -15t + 5t2) = t(5t + -2) Reorder the terms: 10 + -15t + 5t2 = t(-2 + 5t) 10 + -15t + 5t2 = (-2 * t + 5t * t) 10 + -15t + 5t2 = (-2t + 5t2) Add '-5t2' to each side of the equation. 10 + -15t + 5t2 + -5t2 = -2t + 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 10 + -15t + 0 = -2t + 5t2 + -5t2 10 + -15t = -2t + 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 10 + -15t = -2t + 0 10 + -15t = -2t Solving 10 + -15t = -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 10 + -15t + 2t = -2t + 2t Combine like terms: -15t + 2t = -13t 10 + -13t = -2t + 2t Combine like terms: -2t + 2t = 0 10 + -13t = 0 Add '-10' to each side of the equation. 10 + -10 + -13t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -13t = 0 + -10 -13t = 0 + -10 Combine like terms: 0 + -10 = -10 -13t = -10 Divide each side by '-13'. t = 0.7692307692 Simplifying t = 0.7692307692
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