8t^2-37t-15=0

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Solution for 8t^2-37t-15=0 equation:


Simplifying
8t2 + -37t + -15 = 0

Reorder the terms:
-15 + -37t + 8t2 = 0

Solving
-15 + -37t + 8t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-3 + -8t)(5 + -1t) = 0

Subproblem 1

Set the factor '(-3 + -8t)' equal to zero and attempt to solve: Simplifying -3 + -8t = 0 Solving -3 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8t = 0 + 3 -8t = 0 + 3 Combine like terms: 0 + 3 = 3 -8t = 3 Divide each side by '-8'. t = -0.375 Simplifying t = -0.375

Subproblem 2

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

Solution

t = {-0.375, 5}

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