t(t+2)-143=0

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Solution for t(t+2)-143=0 equation:


Simplifying
t(t + 2) + -143 = 0

Reorder the terms:
t(2 + t) + -143 = 0
(2 * t + t * t) + -143 = 0
(2t + t2) + -143 = 0

Reorder the terms:
-143 + 2t + t2 = 0

Solving
-143 + 2t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-13 + -1t)(11 + -1t) = 0

Subproblem 1

Set the factor '(-13 + -1t)' equal to zero and attempt to solve: Simplifying -13 + -1t = 0 Solving -13 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1t = 0 + 13 -1t = 0 + 13 Combine like terms: 0 + 13 = 13 -1t = 13 Divide each side by '-1'. t = -13 Simplifying t = -13

Subproblem 2

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

Solution

t = {-13, 11}

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