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Simplifying 4t2 + 15t = 3t2 Reorder the terms: 15t + 4t2 = 3t2 Solving 15t + 4t2 = 3t2 Solving for variable 't'. Combine like terms: 4t2 + -3t2 = 1t2 15t + 1t2 = 3t2 + -3t2 Combine like terms: 3t2 + -3t2 = 0 15t + 1t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(15 + t) = 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 '(15 + t)' equal to zero and attempt to solve: Simplifying 15 + t = 0 Solving 15 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + t = 0 + -15 t = 0 + -15 Combine like terms: 0 + -15 = -15 t = -15 Simplifying t = -15Solution
t = {0, -15}
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