8t^2+56t+98=0

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Solution for 8t^2+56t+98=0 equation:


Simplifying
8t2 + 56t + 98 = 0

Reorder the terms:
98 + 56t + 8t2 = 0

Solving
98 + 56t + 8t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + 28t + 4t2) = 0

Factor a trinomial.
2((7 + 2t)(7 + 2t)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + 2t)' equal to zero and attempt to solve: Simplifying 7 + 2t = 0 Solving 7 + 2t = 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 + 2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 0 + -7 2t = 0 + -7 Combine like terms: 0 + -7 = -7 2t = -7 Divide each side by '2'. t = -3.5 Simplifying t = -3.5

Subproblem 2

Set the factor '(7 + 2t)' equal to zero and attempt to solve: Simplifying 7 + 2t = 0 Solving 7 + 2t = 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 + 2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 0 + -7 2t = 0 + -7 Combine like terms: 0 + -7 = -7 2t = -7 Divide each side by '2'. t = -3.5 Simplifying t = -3.5

Solution

t = {-3.5, -3.5}

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