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Simplifying 5t2 + -5t + -910 = 0 Reorder the terms: -910 + -5t + 5t2 = 0 Solving -910 + -5t + 5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(-182 + -1t + t2) = 0 Factor a trinomial. 5((-13 + -1t)(14 + -1t)) = 0 Ignore the factor 5.Subproblem 1
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 = -13Subproblem 2
Set the factor '(14 + -1t)' equal to zero and attempt to solve: Simplifying 14 + -1t = 0 Solving 14 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1t = 0 + -14 -1t = 0 + -14 Combine like terms: 0 + -14 = -14 -1t = -14 Divide each side by '-1'. t = 14 Simplifying t = 14Solution
t = {-13, 14}
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