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Simplifying 6t2 + 48t + 64 = 64 Reorder the terms: 64 + 48t + 6t2 = 64 Add '-64' to each side of the equation. 64 + 48t + -64 + 6t2 = 64 + -64 Reorder the terms: 64 + -64 + 48t + 6t2 = 64 + -64 Combine like terms: 64 + -64 = 0 0 + 48t + 6t2 = 64 + -64 48t + 6t2 = 64 + -64 Combine like terms: 64 + -64 = 0 48t + 6t2 = 0 Solving 48t + 6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6t'. 6t(8 + t) = 0 Ignore the factor 6.Subproblem 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 '(8 + t)' equal to zero and attempt to solve: Simplifying 8 + t = 0 Solving 8 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + t = 0 + -8 t = 0 + -8 Combine like terms: 0 + -8 = -8 t = -8 Simplifying t = -8Solution
t = {0, -8}
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