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Simplifying 9t + -4t2 + -12t + -15t2 = 0 Reorder the terms: 9t + -12t + -4t2 + -15t2 = 0 Combine like terms: 9t + -12t = -3t -3t + -4t2 + -15t2 = 0 Combine like terms: -4t2 + -15t2 = -19t2 -3t + -19t2 = 0 Solving -3t + -19t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1t'. -1t(3 + 19t) = 0 Ignore the factor -1.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 '(3 + 19t)' equal to zero and attempt to solve: Simplifying 3 + 19t = 0 Solving 3 + 19t = 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 + 19t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 19t = 0 + -3 19t = 0 + -3 Combine like terms: 0 + -3 = -3 19t = -3 Divide each side by '19'. t = -0.1578947368 Simplifying t = -0.1578947368Solution
t = {0, -0.1578947368}
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