21x+(x-4)(x-4)=(5+x)(5+x)

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Solution for 21x+(x-4)(x-4)=(5+x)(5+x) equation: 


Simplifying
21x + (x + -4)(x + -4) = (5 + x)(5 + x)

Reorder the terms:
21x + (-4 + x)(x + -4) = (5 + x)(5 + x)

Reorder the terms:
21x + (-4 + x)(-4 + x) = (5 + x)(5 + x)

Multiply (-4 + x) * (-4 + x)
21x + (-4(-4 + x) + x(-4 + x)) = (5 + x)(5 + x)
21x + ((-4 * -4 + x * -4) + x(-4 + x)) = (5 + x)(5 + x)
21x + ((16 + -4x) + x(-4 + x)) = (5 + x)(5 + x)
21x + (16 + -4x + (-4 * x + x * x)) = (5 + x)(5 + x)
21x + (16 + -4x + (-4x + x2)) = (5 + x)(5 + x)

Combine like terms: -4x + -4x = -8x
21x + (16 + -8x + x2) = (5 + x)(5 + x)

Reorder the terms:
16 + 21x + -8x + x2 = (5 + x)(5 + x)

Combine like terms: 21x + -8x = 13x
16 + 13x + x2 = (5 + x)(5 + x)

Multiply (5 + x) * (5 + x)
16 + 13x + x2 = (5(5 + x) + x(5 + x))
16 + 13x + x2 = ((5 * 5 + x * 5) + x(5 + x))
16 + 13x + x2 = ((25 + 5x) + x(5 + x))
16 + 13x + x2 = (25 + 5x + (5 * x + x * x))
16 + 13x + x2 = (25 + 5x + (5x + x2))

Combine like terms: 5x + 5x = 10x
16 + 13x + x2 = (25 + 10x + x2)

Add '-1x2' to each side of the equation.
16 + 13x + x2 + -1x2 = 25 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 13x + 0 = 25 + 10x + x2 + -1x2
16 + 13x = 25 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 13x = 25 + 10x + 0
16 + 13x = 25 + 10x

Solving
16 + 13x = 25 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
16 + 13x + -10x = 25 + 10x + -10x

Combine like terms: 13x + -10x = 3x
16 + 3x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + 3x = 25 + 0
16 + 3x = 25

Add '-16' to each side of the equation.
16 + -16 + 3x = 25 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 25 + -16
3x = 25 + -16

Combine like terms: 25 + -16 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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