X+5=(2x+5)(2x+5)

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Solution for X+5=(2x+5)(2x+5) equation: 


Simplifying
X + 5 = (2x + 5)(2x + 5)

Reorder the terms:
5 + X = (2x + 5)(2x + 5)

Reorder the terms:
5 + X = (5 + 2x)(2x + 5)

Reorder the terms:
5 + X = (5 + 2x)(5 + 2x)

Multiply (5 + 2x) * (5 + 2x)
5 + X = (5(5 + 2x) + 2x * (5 + 2x))
5 + X = ((5 * 5 + 2x * 5) + 2x * (5 + 2x))
5 + X = ((25 + 10x) + 2x * (5 + 2x))
5 + X = (25 + 10x + (5 * 2x + 2x * 2x))
5 + X = (25 + 10x + (10x + 4x2))

Combine like terms: 10x + 10x = 20x
5 + X = (25 + 20x + 4x2)

Solving
5 + X = 25 + 20x + 4x2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -5 + X = 25 + 20x + -5 + 4x2

Combine like terms: 5 + -5 = 0
0 + X = 25 + 20x + -5 + 4x2
X = 25 + 20x + -5 + 4x2

Reorder the terms:
X = 25 + -5 + 20x + 4x2

Combine like terms: 25 + -5 = 20
X = 20 + 20x + 4x2

Simplifying
X = 20 + 20x + 4x2

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