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Simplifying 5t2 + 12t + -65 = 0 Reorder the terms: -65 + 12t + 5t2 = 0 Solving -65 + 12t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -1t)(13 + -5t) = 0Subproblem 1
Set the factor '(-5 + -1t)' equal to zero and attempt to solve: Simplifying -5 + -1t = 0 Solving -5 + -1t = 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 + -1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 0 + 5 -1t = 0 + 5 Combine like terms: 0 + 5 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5Subproblem 2
Set the factor '(13 + -5t)' equal to zero and attempt to solve: Simplifying 13 + -5t = 0 Solving 13 + -5t = 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 + -5t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5t = 0 + -13 -5t = 0 + -13 Combine like terms: 0 + -13 = -13 -5t = -13 Divide each side by '-5'. t = 2.6 Simplifying t = 2.6Solution
t = {-5, 2.6}
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