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Simplifying -5t2 + -30t + 675 = 0 Reorder the terms: 675 + -30t + -5t2 = 0 Solving 675 + -30t + -5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(135 + -6t + -1t2) = 0 Factor a trinomial. 5((9 + -1t)(15 + t)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9Subproblem 2
Set the factor '(15 + t)' equal to zero and attempt to solve: Simplifying 15 + t = 0 Solving 15 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + t = 0 + -15 t = 0 + -15 Combine like terms: 0 + -15 = -15 t = -15 Simplifying t = -15Solution
t = {9, -15}
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