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Simplifying -4t3 + 42t = 0 Reorder the terms: 42t + -4t3 = 0 Solving 42t + -4t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(21 + -2t2) = 0 Ignore the factor 2.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 '(21 + -2t2)' equal to zero and attempt to solve: Simplifying 21 + -2t2 = 0 Solving 21 + -2t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2t2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2t2 = 0 + -21 -2t2 = 0 + -21 Combine like terms: 0 + -21 = -21 -2t2 = -21 Divide each side by '-2'. t2 = 10.5 Simplifying t2 = 10.5 Take the square root of each side: t = {-3.240370349, 3.240370349}Solution
t = {0, -3.240370349, 3.240370349}
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