-35t^2-70t+1225=0

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Solution for -35t^2-70t+1225=0 equation:


Simplifying
-35t2 + -70t + 1225 = 0

Reorder the terms:
1225 + -70t + -35t2 = 0

Solving
1225 + -70t + -35t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '35'.
35(35 + -2t + -1t2) = 0

Factor a trinomial.
35((5 + -1t)(7 + t)) = 0

Ignore the factor 35.

Subproblem 1

Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5

Subproblem 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 = -7

Solution

t = {5, -7}

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