t^2+11t=12

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Solution for t^2+11t=12 equation:


Simplifying
t2 + 11t = 12

Reorder the terms:
11t + t2 = 12

Solving
11t + t2 = 12

Solving for variable 't'.

Reorder the terms:
-12 + 11t + t2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 11t + t2 = 0

Factor a trinomial.
(-12 + -1t)(1 + -1t) = 0

Subproblem 1

Set the factor '(-12 + -1t)' equal to zero and attempt to solve: Simplifying -12 + -1t = 0 Solving -12 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1t = 0 + 12 -1t = 0 + 12 Combine like terms: 0 + 12 = 12 -1t = 12 Divide each side by '-1'. t = -12 Simplifying t = -12

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 = {-12, 1}

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