7t^2-41t-56=

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Solution for 7t^2-41t-56= equation:


Simplifying
7t2 + -41t + -56 = 0

Reorder the terms:
-56 + -41t + 7t2 = 0

Solving
-56 + -41t + 7t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-8 + -7t)(7 + -1t) = 0

Subproblem 1

Set the factor '(-8 + -7t)' equal to zero and attempt to solve: Simplifying -8 + -7t = 0 Solving -8 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7t = 0 + 8 -7t = 0 + 8 Combine like terms: 0 + 8 = 8 -7t = 8 Divide each side by '-7'. t = -1.142857143 Simplifying t = -1.142857143

Subproblem 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 = 7

Solution

t = {-1.142857143, 7}

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