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Simplifying 10t + 3t(1 + -4t) = 0 10t + (1 * 3t + -4t * 3t) = 0 10t + (3t + -12t2) = 0 Combine like terms: 10t + 3t = 13t 13t + -12t2 = 0 Solving 13t + -12t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(13 + -12t) = 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 '(13 + -12t)' equal to zero and attempt to solve: Simplifying 13 + -12t = 0 Solving 13 + -12t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -12t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -12t = 0 + -13 -12t = 0 + -13 Combine like terms: 0 + -13 = -13 -12t = -13 Divide each side by '-12'. t = 1.083333333 Simplifying t = 1.083333333Solution
t = {0, 1.083333333}
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