t(t-7)=8

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Solution for t(t-7)=8 equation:


Simplifying
t(t + -7) = 8

Reorder the terms:
t(-7 + t) = 8
(-7 * t + t * t) = 8
(-7t + t2) = 8

Solving
-7t + t2 = 8

Solving for variable 't'.

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

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

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

Subproblem 1

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

Subproblem 2

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

Solution

t = {-1, 8}

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