(x+5)(x+5)=(x-1)(x+23)

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Solution for (x+5)(x+5)=(x-1)(x+23) equation: 


Simplifying
(x + 5)(x + 5) = (x + -1)(x + 23)

Reorder the terms:
(5 + x)(x + 5) = (x + -1)(x + 23)

Reorder the terms:
(5 + x)(5 + x) = (x + -1)(x + 23)

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = (x + -1)(x + 23)
((5 * 5 + x * 5) + x(5 + x)) = (x + -1)(x + 23)
((25 + 5x) + x(5 + x)) = (x + -1)(x + 23)
(25 + 5x + (5 * x + x * x)) = (x + -1)(x + 23)
(25 + 5x + (5x + x2)) = (x + -1)(x + 23)

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = (x + -1)(x + 23)

Reorder the terms:
25 + 10x + x2 = (-1 + x)(x + 23)

Reorder the terms:
25 + 10x + x2 = (-1 + x)(23 + x)

Multiply (-1 + x) * (23 + x)
25 + 10x + x2 = (-1(23 + x) + x(23 + x))
25 + 10x + x2 = ((23 * -1 + x * -1) + x(23 + x))
25 + 10x + x2 = ((-23 + -1x) + x(23 + x))
25 + 10x + x2 = (-23 + -1x + (23 * x + x * x))
25 + 10x + x2 = (-23 + -1x + (23x + x2))

Combine like terms: -1x + 23x = 22x
25 + 10x + x2 = (-23 + 22x + x2)

Add '-1x2' to each side of the equation.
25 + 10x + x2 + -1x2 = -23 + 22x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x + 0 = -23 + 22x + x2 + -1x2
25 + 10x = -23 + 22x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x = -23 + 22x + 0
25 + 10x = -23 + 22x

Solving
25 + 10x = -23 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
25 + 10x + -22x = -23 + 22x + -22x

Combine like terms: 10x + -22x = -12x
25 + -12x = -23 + 22x + -22x

Combine like terms: 22x + -22x = 0
25 + -12x = -23 + 0
25 + -12x = -23

Add '-25' to each side of the equation.
25 + -25 + -12x = -23 + -25

Combine like terms: 25 + -25 = 0
0 + -12x = -23 + -25
-12x = -23 + -25

Combine like terms: -23 + -25 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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