(x+7)(x+3)=x(x)+10x+21

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Solution for (x+7)(x+3)=x(x)+10x+21 equation: 


Simplifying
(x + 7)(x + 3) = x(x) + 10x + 21

Reorder the terms:
(7 + x)(x + 3) = x(x) + 10x + 21

Reorder the terms:
(7 + x)(3 + x) = x(x) + 10x + 21

Multiply (7 + x) * (3 + x)
(7(3 + x) + x(3 + x)) = x(x) + 10x + 21
((3 * 7 + x * 7) + x(3 + x)) = x(x) + 10x + 21
((21 + 7x) + x(3 + x)) = x(x) + 10x + 21
(21 + 7x + (3 * x + x * x)) = x(x) + 10x + 21
(21 + 7x + (3x + x2)) = x(x) + 10x + 21

Combine like terms: 7x + 3x = 10x
(21 + 10x + x2) = x(x) + 10x + 21

Multiply x * x
21 + 10x + x2 = x2 + 10x + 21

Reorder the terms:
21 + 10x + x2 = 21 + 10x + x2

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

Reorder the terms:
21 + -21 + 10x + x2 = 21 + 10x + -21 + x2

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

Reorder the terms:
10x + x2 = 21 + -21 + 10x + x2

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

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

Combine like terms: 10x + -10x = 0
0 + x2 = 10x + -10x + x2
x2 = 10x + -10x + x2

Combine like terms: 10x + -10x = 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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