-15t^2+120t+10=115

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Solution for -15t^2+120t+10=115 equation:


Simplifying
-15t2 + 120t + 10 = 115

Reorder the terms:
10 + 120t + -15t2 = 115

Solving
10 + 120t + -15t2 = 115

Solving for variable 't'.

Reorder the terms:
10 + -115 + 120t + -15t2 = 115 + -115

Combine like terms: 10 + -115 = -105
-105 + 120t + -15t2 = 115 + -115

Combine like terms: 115 + -115 = 0
-105 + 120t + -15t2 = 0

Factor out the Greatest Common Factor (GCF), '15'.
15(-7 + 8t + -1t2) = 0

Factor a trinomial.
15((-7 + t)(1 + -1t)) = 0

Ignore the factor 15.

Subproblem 1

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

Subproblem 2

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

Solution

t = {7, 1}

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