(t+5)(t-9)=0

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Solution for (t+5)(t-9)=0 equation:


Simplifying
(t + 5)(t + -9) = 0

Reorder the terms:
(5 + t)(t + -9) = 0

Reorder the terms:
(5 + t)(-9 + t) = 0

Multiply (5 + t) * (-9 + t)
(5(-9 + t) + t(-9 + t)) = 0
((-9 * 5 + t * 5) + t(-9 + t)) = 0
((-45 + 5t) + t(-9 + t)) = 0
(-45 + 5t + (-9 * t + t * t)) = 0
(-45 + 5t + (-9t + t2)) = 0

Combine like terms: 5t + -9t = -4t
(-45 + -4t + t2) = 0

Solving
-45 + -4t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-5 + -1t)(9 + -1t) = 0

Subproblem 1

Set the factor '(-5 + -1t)' equal to zero and attempt to solve: Simplifying -5 + -1t = 0 Solving -5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 0 + 5 -1t = 0 + 5 Combine like terms: 0 + 5 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5

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 = {-5, 9}

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