(t+7)(t-18)=0

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Solution for (t+7)(t-18)=0 equation: 


Simplifying
(t + 7)(t + -18) = 0

Reorder the terms:
(7 + t)(t + -18) = 0

Reorder the terms:
(7 + t)(-18 + t) = 0

Multiply (7 + t) * (-18 + t)
(7(-18 + t) + t(-18 + t)) = 0
((-18 * 7 + t * 7) + t(-18 + t)) = 0
((-126 + 7t) + t(-18 + t)) = 0
(-126 + 7t + (-18 * t + t * t)) = 0
(-126 + 7t + (-18t + t2)) = 0

Combine like terms: 7t + -18t = -11t
(-126 + -11t + t2) = 0

Solving
-126 + -11t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-7 + -1t)(18 + -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 '(18 + -1t)' equal to zero and attempt to solve:

Simplifying
18 + -1t = 0

Solving
18 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + -18 + -1t = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1t = 0 + -18
-1t = 0 + -18

Combine like terms: 0 + -18 = -18
-1t = -18

Divide each side by '-1'.
t = 18

Simplifying
t = 18
Solution
t = {-7, 18}

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