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Simplifying t3 + -90t = 10t Reorder the terms: -90t + t3 = 10t Solving -90t + t3 = 10t Solving for variable 't'. Reorder the terms: -90t + -10t + t3 = 10t + -10t Combine like terms: -90t + -10t = -100t -100t + t3 = 10t + -10t Combine like terms: 10t + -10t = 0 -100t + t3 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-100 + t2) = 0 Factor a difference between two squares. t((10 + t)(-10 + t)) = 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 '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 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 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10Subproblem 3
Set the factor '(-10 + t)' equal to zero and attempt to solve: Simplifying -10 + t = 0 Solving -10 + t = 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 + t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + t = 0 + 10 t = 0 + 10 Combine like terms: 0 + 10 = 10 t = 10 Simplifying t = 10Solution
t = {0, -10, 10}
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