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Simplifying -6t2 + 75t = 0 Reorder the terms: 75t + -6t2 = 0 Solving 75t + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(25 + -2t) = 0 Ignore the factor 3.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 '(25 + -2t)' equal to zero and attempt to solve: Simplifying 25 + -2t = 0 Solving 25 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2t = 0 + -25 -2t = 0 + -25 Combine like terms: 0 + -25 = -25 -2t = -25 Divide each side by '-2'. t = 12.5 Simplifying t = 12.5Solution
t = {0, 12.5}
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