(3+x)*(3+x)=x*x+6x+9

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Solution for (3+x)*(3+x)=x*x+6x+9 equation:


Simplifying
(3 + x)(3 + x) = x * x + 6x + 9

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = x * x + 6x + 9
((3 * 3 + x * 3) + x(3 + x)) = x * x + 6x + 9
((9 + 3x) + x(3 + x)) = x * x + 6x + 9
(9 + 3x + (3 * x + x * x)) = x * x + 6x + 9
(9 + 3x + (3x + x2)) = x * x + 6x + 9

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = x * x + 6x + 9

Multiply x * x
9 + 6x + x2 = x2 + 6x + 9

Reorder the terms:
9 + 6x + x2 = 9 + 6x + x2

Add '-9' to each side of the equation.
9 + 6x + -9 + x2 = 9 + 6x + -9 + x2

Reorder the terms:
9 + -9 + 6x + x2 = 9 + 6x + -9 + x2

Combine like terms: 9 + -9 = 0
0 + 6x + x2 = 9 + 6x + -9 + x2
6x + x2 = 9 + 6x + -9 + x2

Reorder the terms:
6x + x2 = 9 + -9 + 6x + x2

Combine like terms: 9 + -9 = 0
6x + x2 = 0 + 6x + x2
6x + x2 = 6x + x2

Add '-6x' to each side of the equation.
6x + -6x + x2 = 6x + -6x + x2

Combine like terms: 6x + -6x = 0
0 + x2 = 6x + -6x + x2
x2 = 6x + -6x + x2

Combine like terms: 6x + -6x = 0
x2 = 0 + x2
x2 = x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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