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Simplifying 42t2 + -100t + 50 = 0 Reorder the terms: 50 + -100t + 42t2 = 0 Solving 50 + -100t + 42t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + -50t + 21t2) = 0 Factor a trinomial. 2((5 + -7t)(5 + -3t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -7t)' equal to zero and attempt to solve: Simplifying 5 + -7t = 0 Solving 5 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7t = 0 + -5 -7t = 0 + -5 Combine like terms: 0 + -5 = -5 -7t = -5 Divide each side by '-7'. t = 0.7142857143 Simplifying t = 0.7142857143Subproblem 2
Set the factor '(5 + -3t)' equal to zero and attempt to solve: Simplifying 5 + -3t = 0 Solving 5 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3t = 0 + -5 -3t = 0 + -5 Combine like terms: 0 + -5 = -5 -3t = -5 Divide each side by '-3'. t = 1.666666667 Simplifying t = 1.666666667Solution
t = {0.7142857143, 1.666666667}
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