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Simplifying 4t2 + 196 = 56t Reorder the terms: 196 + 4t2 = 56t Solving 196 + 4t2 = 56t Solving for variable 't'. Reorder the terms: 196 + -56t + 4t2 = 56t + -56t Combine like terms: 56t + -56t = 0 196 + -56t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(49 + -14t + t2) = 0 Factor a trinomial. 4((7 + -1t)(7 + -1t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 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 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 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 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {7, 7}
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