9+x^2+2x+1=x^2+4x+4

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Solution for 9+x^2+2x+1=x^2+4x+4 equation:


Simplifying
9 + x2 + 2x + 1 = x2 + 4x + 4

Reorder the terms:
9 + 1 + 2x + x2 = x2 + 4x + 4

Combine like terms: 9 + 1 = 10
10 + 2x + x2 = x2 + 4x + 4

Reorder the terms:
10 + 2x + x2 = 4 + 4x + x2

Add '-1x2' to each side of the equation.
10 + 2x + x2 + -1x2 = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 2x + 0 = 4 + 4x + x2 + -1x2
10 + 2x = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 2x = 4 + 4x + 0
10 + 2x = 4 + 4x

Solving
10 + 2x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 2x + -4x = 4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
10 + -2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -2x = 4 + 0
10 + -2x = 4

Add '-10' to each side of the equation.
10 + -10 + -2x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 4 + -10
-2x = 4 + -10

Combine like terms: 4 + -10 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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