(x-8)(x+3)=1-5x

Solution for (x-8)(x+3)=1-5x equation:

Simplifying
(x + -8)(x + 3) = 1 + -5x

Reorder the terms:
(-8 + x)(x + 3) = 1 + -5x

Reorder the terms:
(-8 + x)(3 + x) = 1 + -5x

Multiply (-8 + x) * (3 + x)
(-8(3 + x) + x(3 + x)) = 1 + -5x
((3 * -8 + x * -8) + x(3 + x)) = 1 + -5x
((-24 + -8x) + x(3 + x)) = 1 + -5x
(-24 + -8x + (3 * x + x * x)) = 1 + -5x
(-24 + -8x + (3x + x2)) = 1 + -5x

Combine like terms: -8x + 3x = -5x
(-24 + -5x + x2) = 1 + -5x

Add '5x' to each side of the equation.
-24 + -5x + 5x + x2 = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
-24 + 0 + x2 = 1 + -5x + 5x
-24 + x2 = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
-24 + x2 = 1 + 0
-24 + x2 = 1

Solving
-24 + x2 = 1

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + x2 = 1 + 24

Combine like terms: -24 + 24 = 0
0 + x2 = 1 + 24
x2 = 1 + 24

Combine like terms: 1 + 24 = 25
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}