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Simplifying 4t2 + 39t + -10 = 0 Reorder the terms: -10 + 39t + 4t2 = 0 Solving -10 + 39t + 4t2 = 0 Solving for variable 't'. Factor a trinomial. (-10 + -1t)(1 + -4t) = 0Subproblem 1
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 2
Set the factor '(1 + -4t)' equal to zero and attempt to solve: Simplifying 1 + -4t = 0 Solving 1 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = 0 + -1 -4t = 0 + -1 Combine like terms: 0 + -1 = -1 -4t = -1 Divide each side by '-4'. t = 0.25 Simplifying t = 0.25Solution
t = {-10, 0.25}
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