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Simplifying 15 + 22t + -5t2 = 0 Solving 15 + 22t + -5t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + -1t)(3 + 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 '(3 + 5t)' equal to zero and attempt to solve: Simplifying 3 + 5t = 0 Solving 3 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5t = 0 + -3 5t = 0 + -3 Combine like terms: 0 + -3 = -3 5t = -3 Divide each side by '5'. t = -0.6 Simplifying t = -0.6Solution
t = {5, -0.6}
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