t(t-5)=36

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Solution for t(t-5)=36 equation:


Simplifying
t(t + -5) = 36

Reorder the terms:
t(-5 + t) = 36
(-5 * t + t * t) = 36
(-5t + t2) = 36

Solving
-5t + t2 = 36

Solving for variable 't'.

Reorder the terms:
-36 + -5t + t2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -5t + t2 = 0

Factor a trinomial.
(-4 + -1t)(9 + -1t) = 0

Subproblem 1

Set the factor '(-4 + -1t)' equal to zero and attempt to solve: Simplifying -4 + -1t = 0 Solving -4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = 0 + 4 -1t = 0 + 4 Combine like terms: 0 + 4 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4

Subproblem 2

Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9

Solution

t = {-4, 9}

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