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