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Simplifying 7t3 + -21t2 + -910t = 0 Reorder the terms: -910t + -21t2 + 7t3 = 0 Solving -910t + -21t2 + 7t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '7t'. 7t(-130 + -3t + t2) = 0 Factor a trinomial. 7t((-10 + -1t)(13 + -1t)) = 0 Ignore the factor 7.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 '(-10 + -1t)' equal to zero and attempt to solve: Simplifying -10 + -1t = 0 Solving -10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1t = 0 + 10 -1t = 0 + 10 Combine like terms: 0 + 10 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10Subproblem 3
Set the factor '(13 + -1t)' equal to zero and attempt to solve: Simplifying 13 + -1t = 0 Solving 13 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1t = 0 + -13 -1t = 0 + -13 Combine like terms: 0 + -13 = -13 -1t = -13 Divide each side by '-1'. t = 13 Simplifying t = 13Solution
t = {0, -10, 13}
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