(t+7)(t-9)=0

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Solution for (t+7)(t-9)=0 equation:


Simplifying
(t + 7)(t + -9) = 0

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

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

Multiply (7 + t) * (-9 + t)
(7(-9 + t) + t(-9 + t)) = 0
((-9 * 7 + t * 7) + t(-9 + t)) = 0
((-63 + 7t) + t(-9 + t)) = 0
(-63 + 7t + (-9 * t + t * t)) = 0
(-63 + 7t + (-9t + t2)) = 0

Combine like terms: 7t + -9t = -2t
(-63 + -2t + t2) = 0

Solving
-63 + -2t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-7 + -1t)(9 + -1t) = 0

Subproblem 1

Set the factor '(-7 + -1t)' equal to zero and attempt to solve: Simplifying -7 + -1t = 0 Solving -7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 0 + 7 -1t = 0 + 7 Combine like terms: 0 + 7 = 7 -1t = 7 Divide each side by '-1'. t = -7 Simplifying t = -7

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 = {-7, 9}

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