(x+9)(x-8)=38

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Solution for (x+9)(x-8)=38 equation: 


Simplifying
(x + 9)(x + -8) = 38

Reorder the terms:
(9 + x)(x + -8) = 38

Reorder the terms:
(9 + x)(-8 + x) = 38

Multiply (9 + x) * (-8 + x)
(9(-8 + x) + x(-8 + x)) = 38
((-8 * 9 + x * 9) + x(-8 + x)) = 38
((-72 + 9x) + x(-8 + x)) = 38
(-72 + 9x + (-8 * x + x * x)) = 38
(-72 + 9x + (-8x + x2)) = 38

Combine like terms: 9x + -8x = 1x
(-72 + 1x + x2) = 38

Solving
-72 + 1x + x2 = 38

Solving for variable 'x'.

Reorder the terms:
-72 + -38 + 1x + x2 = 38 + -38

Combine like terms: -72 + -38 = -110
-110 + 1x + x2 = 38 + -38

Combine like terms: 38 + -38 = 0
-110 + 1x + x2 = 0

Factor a trinomial.
(-11 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-11, 10}

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