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Simplifying 5t2 + -5t + -780 = 0 Reorder the terms: -780 + -5t + 5t2 = 0 Solving -780 + -5t + 5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(-156 + -1t + t2) = 0 Factor a trinomial. 5((-12 + -1t)(13 + -1t)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-12 + -1t)' equal to zero and attempt to solve: Simplifying -12 + -1t = 0 Solving -12 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1t = 0 + 12 -1t = 0 + 12 Combine like terms: 0 + 12 = 12 -1t = 12 Divide each side by '-1'. t = -12 Simplifying t = -12Subproblem 2
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 = {-12, 13}
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