(t*t)-t=6

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Solution for (t*t)-t=6 equation:


Simplifying
(t * t) + -1t = 6

Multiply t * t
(t2) + -1t = 6
t2 + -1t = 6

Reorder the terms:
-1t + t2 = 6

Solving
-1t + t2 = 6

Solving for variable 't'.

Reorder the terms:
-6 + -1t + t2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -1t + t2 = 0

Factor a trinomial.
(-2 + -1t)(3 + -1t) = 0

Subproblem 1

Set the factor '(-2 + -1t)' equal to zero and attempt to solve: Simplifying -2 + -1t = 0 Solving -2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 0 + 2 -1t = 0 + 2 Combine like terms: 0 + 2 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2

Subproblem 2

Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 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 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3

Solution

t = {-2, 3}

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