(x-13)(x+8)=196

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Solution for (x-13)(x+8)=196 equation: 


Simplifying
(x + -13)(x + 8) = 196

Reorder the terms:
(-13 + x)(x + 8) = 196

Reorder the terms:
(-13 + x)(8 + x) = 196

Multiply (-13 + x) * (8 + x)
(-13(8 + x) + x(8 + x)) = 196
((8 * -13 + x * -13) + x(8 + x)) = 196
((-104 + -13x) + x(8 + x)) = 196
(-104 + -13x + (8 * x + x * x)) = 196
(-104 + -13x + (8x + x2)) = 196

Combine like terms: -13x + 8x = -5x
(-104 + -5x + x2) = 196

Solving
-104 + -5x + x2 = 196

Solving for variable 'x'.

Reorder the terms:
-104 + -196 + -5x + x2 = 196 + -196

Combine like terms: -104 + -196 = -300
-300 + -5x + x2 = 196 + -196

Combine like terms: 196 + -196 = 0
-300 + -5x + x2 = 0

Factor a trinomial.
(-15 + -1x)(20 + -1x) = 0


Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-15, 20}

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