7t^2+55t=8

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Solution for 7t^2+55t=8 equation:


Simplifying
7t2 + 55t = 8

Reorder the terms:
55t + 7t2 = 8

Solving
55t + 7t2 = 8

Solving for variable 't'.

Reorder the terms:
-8 + 55t + 7t2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 55t + 7t2 = 0

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

Subproblem 1

Set the factor '(-8 + -1t)' equal to zero and attempt to solve: Simplifying -8 + -1t = 0 Solving -8 + -1t = 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 + -1t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = 0 + 8 -1t = 0 + 8 Combine like terms: 0 + 8 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8

Subproblem 2

Set the factor '(1 + -7t)' equal to zero and attempt to solve: Simplifying 1 + -7t = 0 Solving 1 + -7t = 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 + -7t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7t = 0 + -1 -7t = 0 + -1 Combine like terms: 0 + -1 = -1 -7t = -1 Divide each side by '-7'. t = 0.1428571429 Simplifying t = 0.1428571429

Solution

t = {-8, 0.1428571429}

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