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Simplifying 2t2 + 14t + 3 = 3 Reorder the terms: 3 + 14t + 2t2 = 3 Add '-3' to each side of the equation. 3 + 14t + -3 + 2t2 = 3 + -3 Reorder the terms: 3 + -3 + 14t + 2t2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + 14t + 2t2 = 3 + -3 14t + 2t2 = 3 + -3 Combine like terms: 3 + -3 = 0 14t + 2t2 = 0 Solving 14t + 2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(7 + t) = 0 Ignore the factor 2.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 '(7 + t)' equal to zero and attempt to solve: Simplifying 7 + t = 0 Solving 7 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + t = 0 + -7 t = 0 + -7 Combine like terms: 0 + -7 = -7 t = -7 Simplifying t = -7Solution
t = {0, -7}
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