(x-8)(x-3)=150

Solution for (x-8)(x-3)=150 equation:

Simplifying
(x + -8)(x + -3) = 150

Reorder the terms:
(-8 + x)(x + -3) = 150

Reorder the terms:
(-8 + x)(-3 + x) = 150

Multiply (-8 + x) * (-3 + x)
(-8(-3 + x) + x(-3 + x)) = 150
((-3 * -8 + x * -8) + x(-3 + x)) = 150
((24 + -8x) + x(-3 + x)) = 150
(24 + -8x + (-3 * x + x * x)) = 150
(24 + -8x + (-3x + x2)) = 150

Combine like terms: -8x + -3x = -11x
(24 + -11x + x2) = 150

Solving
24 + -11x + x2 = 150

Solving for variable 'x'.

Reorder the terms:
24 + -150 + -11x + x2 = 150 + -150

Combine like terms: 24 + -150 = -126
-126 + -11x + x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-126 + -11x + x2 = 0

Factor a trinomial.
(-7 + -1x)(18 + -1x) = 0

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

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

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

Divide each side by '-1'.
x = 18

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