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Simplifying -12t2 + 128t = 0 Reorder the terms: 128t + -12t2 = 0 Solving 128t + -12t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(32 + -3t) = 0 Ignore the factor 4.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 '(32 + -3t)' equal to zero and attempt to solve: Simplifying 32 + -3t = 0 Solving 32 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -3t = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -3t = 0 + -32 -3t = 0 + -32 Combine like terms: 0 + -32 = -32 -3t = -32 Divide each side by '-3'. t = 10.66666667 Simplifying t = 10.66666667Solution
t = {0, 10.66666667}
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