(x+5)(x+5)=(x-1)(x+22)

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Solution for (x+5)(x+5)=(x-1)(x+22) equation: 


Simplifying
(x + 5)(x + 5) = (x + -1)(x + 22)

Reorder the terms:
(5 + x)(x + 5) = (x + -1)(x + 22)

Reorder the terms:
(5 + x)(5 + x) = (x + -1)(x + 22)

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = (x + -1)(x + 22)
((5 * 5 + x * 5) + x(5 + x)) = (x + -1)(x + 22)
((25 + 5x) + x(5 + x)) = (x + -1)(x + 22)
(25 + 5x + (5 * x + x * x)) = (x + -1)(x + 22)
(25 + 5x + (5x + x2)) = (x + -1)(x + 22)

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = (x + -1)(x + 22)

Reorder the terms:
25 + 10x + x2 = (-1 + x)(x + 22)

Reorder the terms:
25 + 10x + x2 = (-1 + x)(22 + x)

Multiply (-1 + x) * (22 + x)
25 + 10x + x2 = (-1(22 + x) + x(22 + x))
25 + 10x + x2 = ((22 * -1 + x * -1) + x(22 + x))
25 + 10x + x2 = ((-22 + -1x) + x(22 + x))
25 + 10x + x2 = (-22 + -1x + (22 * x + x * x))
25 + 10x + x2 = (-22 + -1x + (22x + x2))

Combine like terms: -1x + 22x = 21x
25 + 10x + x2 = (-22 + 21x + x2)

Add '-1x2' to each side of the equation.
25 + 10x + x2 + -1x2 = -22 + 21x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x + 0 = -22 + 21x + x2 + -1x2
25 + 10x = -22 + 21x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x = -22 + 21x + 0
25 + 10x = -22 + 21x

Solving
25 + 10x = -22 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
25 + 10x + -21x = -22 + 21x + -21x

Combine like terms: 10x + -21x = -11x
25 + -11x = -22 + 21x + -21x

Combine like terms: 21x + -21x = 0
25 + -11x = -22 + 0
25 + -11x = -22

Add '-25' to each side of the equation.
25 + -25 + -11x = -22 + -25

Combine like terms: 25 + -25 = 0
0 + -11x = -22 + -25
-11x = -22 + -25

Combine like terms: -22 + -25 = -47
-11x = -47

Divide each side by '-11'.
x = 4.272727273

Simplifying
x = 4.272727273

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