(x^2)+24=8(x+1)

Solution for (x^2)+24=8(x+1) equation:

Simplifying
(x2) + 24 = 8(x + 1)
x2 + 24 = 8(x + 1)

Reorder the terms:
24 + x2 = 8(x + 1)

Reorder the terms:
24 + x2 = 8(1 + x)
24 + x2 = (1 * 8 + x * 8)
24 + x2 = (8 + 8x)

Solving
24 + x2 = 8 + 8x

Solving for variable 'x'.

Reorder the terms:
24 + -8 + -8x + x2 = 8 + 8x + -8 + -8x

Combine like terms: 24 + -8 = 16
16 + -8x + x2 = 8 + 8x + -8 + -8x

Reorder the terms:
16 + -8x + x2 = 8 + -8 + 8x + -8x

Combine like terms: 8 + -8 = 0
16 + -8x + x2 = 0 + 8x + -8x
16 + -8x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -8x + x2 = 0

Factor a trinomial.
(4 + -1x)(4 + -1x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {4, 4}