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Simplifying 4t2 + 15t + 9 = 9 Reorder the terms: 9 + 15t + 4t2 = 9 Add '-9' to each side of the equation. 9 + 15t + -9 + 4t2 = 9 + -9 Reorder the terms: 9 + -9 + 15t + 4t2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + 15t + 4t2 = 9 + -9 15t + 4t2 = 9 + -9 Combine like terms: 9 + -9 = 0 15t + 4t2 = 0 Solving 15t + 4t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(15 + 4t) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(15 + 4t)' equal to zero and attempt to solve: Simplifying 15 + 4t = 0 Solving 15 + 4t = 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 + 4t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4t = 0 + -15 4t = 0 + -15 Combine like terms: 0 + -15 = -15 4t = -15 Divide each side by '4'. t = -3.75 Simplifying t = -3.75Solution
t = {0, -3.75}
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