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Simplifying 0 = -4t2 + 3t Reorder the terms: 0 = 3t + -4t2 Solving 0 = 3t + -4t2 Solving for variable 't'. Remove the zero: -3t + 4t2 = 3t + -4t2 + -3t + 4t2 Reorder the terms: -3t + 4t2 = 3t + -3t + -4t2 + 4t2 Combine like terms: 3t + -3t = 0 -3t + 4t2 = 0 + -4t2 + 4t2 -3t + 4t2 = -4t2 + 4t2 Combine like terms: -4t2 + 4t2 = 0 -3t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-3 + 4t) = 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 '(-3 + 4t)' equal to zero and attempt to solve: Simplifying -3 + 4t = 0 Solving -3 + 4t = 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 + 4t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4t = 0 + 3 4t = 0 + 3 Combine like terms: 0 + 3 = 3 4t = 3 Divide each side by '4'. t = 0.75 Simplifying t = 0.75Solution
t = {0, 0.75}
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