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Simplifying t(t + 5) = 176 Reorder the terms: t(5 + t) = 176 (5 * t + t * t) = 176 (5t + t2) = 176 Solving 5t + t2 = 176 Solving for variable 't'. Reorder the terms: -176 + 5t + t2 = 176 + -176 Combine like terms: 176 + -176 = 0 -176 + 5t + t2 = 0 Factor a trinomial. (-16 + -1t)(11 + -1t) = 0Subproblem 1
Set the factor '(-16 + -1t)' equal to zero and attempt to solve: Simplifying -16 + -1t = 0 Solving -16 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1t = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1t = 0 + 16 -1t = 0 + 16 Combine like terms: 0 + 16 = 16 -1t = 16 Divide each side by '-1'. t = -16 Simplifying t = -16Subproblem 2
Set the factor '(11 + -1t)' equal to zero and attempt to solve: Simplifying 11 + -1t = 0 Solving 11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1t = 0 + -11 -1t = 0 + -11 Combine like terms: 0 + -11 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11Solution
t = {-16, 11}
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