110=t^2-t

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Solution for 110=t^2-t equation:


Simplifying
110 = t2 + -1t

Reorder the terms:
110 = -1t + t2

Solving
110 = -1t + t2

Solving for variable 't'.

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

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

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

Factor a trinomial.
(11 + -1t)(10 + t) = 0

Subproblem 1

Set the factor '(11 + -1t)' equal to zero and attempt to solve: Simplifying 11 + -1t = 0 Solving 11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1t = 0 + -11 -1t = 0 + -11 Combine like terms: 0 + -11 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11

Subproblem 2

Set the factor '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10

Solution

t = {11, -10}

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