21x(x+3)+7x^2(x+3)=7x(x+3)(x+3)

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Solution for 21x(x+3)+7x^2(x+3)=7x(x+3)(x+3) equation: 


Simplifying
21x(x + 3) + 7x2(x + 3) = 7x(x + 3)(x + 3)

Reorder the terms:
21x(3 + x) + 7x2(x + 3) = 7x(x + 3)(x + 3)
(3 * 21x + x * 21x) + 7x2(x + 3) = 7x(x + 3)(x + 3)
(63x + 21x2) + 7x2(x + 3) = 7x(x + 3)(x + 3)

Reorder the terms:
63x + 21x2 + 7x2(3 + x) = 7x(x + 3)(x + 3)
63x + 21x2 + (3 * 7x2 + x * 7x2) = 7x(x + 3)(x + 3)
63x + 21x2 + (21x2 + 7x3) = 7x(x + 3)(x + 3)

Combine like terms: 21x2 + 21x2 = 42x2
63x + 42x2 + 7x3 = 7x(x + 3)(x + 3)

Reorder the terms:
63x + 42x2 + 7x3 = 7x(3 + x)(x + 3)

Reorder the terms:
63x + 42x2 + 7x3 = 7x(3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
63x + 42x2 + 7x3 = 7x(3(3 + x) + x(3 + x))
63x + 42x2 + 7x3 = 7x((3 * 3 + x * 3) + x(3 + x))
63x + 42x2 + 7x3 = 7x((9 + 3x) + x(3 + x))
63x + 42x2 + 7x3 = 7x(9 + 3x + (3 * x + x * x))
63x + 42x2 + 7x3 = 7x(9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
63x + 42x2 + 7x3 = 7x(9 + 6x + x2)
63x + 42x2 + 7x3 = (9 * 7x + 6x * 7x + x2 * 7x)
63x + 42x2 + 7x3 = (63x + 42x2 + 7x3)

Add '-63x' to each side of the equation.
63x + 42x2 + -63x + 7x3 = 63x + 42x2 + -63x + 7x3

Reorder the terms:
63x + -63x + 42x2 + 7x3 = 63x + 42x2 + -63x + 7x3

Combine like terms: 63x + -63x = 0
0 + 42x2 + 7x3 = 63x + 42x2 + -63x + 7x3
42x2 + 7x3 = 63x + 42x2 + -63x + 7x3

Reorder the terms:
42x2 + 7x3 = 63x + -63x + 42x2 + 7x3

Combine like terms: 63x + -63x = 0
42x2 + 7x3 = 0 + 42x2 + 7x3
42x2 + 7x3 = 42x2 + 7x3

Add '-42x2' to each side of the equation.
42x2 + -42x2 + 7x3 = 42x2 + -42x2 + 7x3

Combine like terms: 42x2 + -42x2 = 0
0 + 7x3 = 42x2 + -42x2 + 7x3
7x3 = 42x2 + -42x2 + 7x3

Combine like terms: 42x2 + -42x2 = 0
7x3 = 0 + 7x3
7x3 = 7x3

Add '-7x3' to each side of the equation.
7x3 + -7x3 = 7x3 + -7x3

Combine like terms: 7x3 + -7x3 = 0
0 = 7x3 + -7x3

Combine like terms: 7x3 + -7x3 = 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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