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Simplifying 3t2 + -4t + 5 + t2 + -3t + -5 = 0 Reorder the terms: 5 + -5 + -4t + -3t + 3t2 + t2 = 0 Combine like terms: 5 + -5 = 0 0 + -4t + -3t + 3t2 + t2 = 0 -4t + -3t + 3t2 + t2 = 0 Combine like terms: -4t + -3t = -7t -7t + 3t2 + t2 = 0 Combine like terms: 3t2 + t2 = 4t2 -7t + 4t2 = 0 Solving -7t + 4t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-7 + 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 '(-7 + 4t)' equal to zero and attempt to solve: Simplifying -7 + 4t = 0 Solving -7 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4t = 0 + 7 4t = 0 + 7 Combine like terms: 0 + 7 = 7 4t = 7 Divide each side by '4'. t = 1.75 Simplifying t = 1.75Solution
t = {0, 1.75}
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