15x^2+36x+12=3(5x+2)(x+2)

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Solution for 15x^2+36x+12=3(5x+2)(x+2) equation: 


Simplifying
15x2 + 36x + 12 = 3(5x + 2)(x + 2)

Reorder the terms:
12 + 36x + 15x2 = 3(5x + 2)(x + 2)

Reorder the terms:
12 + 36x + 15x2 = 3(2 + 5x)(x + 2)

Reorder the terms:
12 + 36x + 15x2 = 3(2 + 5x)(2 + x)

Multiply (2 + 5x) * (2 + x)
12 + 36x + 15x2 = 3(2(2 + x) + 5x * (2 + x))
12 + 36x + 15x2 = 3((2 * 2 + x * 2) + 5x * (2 + x))
12 + 36x + 15x2 = 3((4 + 2x) + 5x * (2 + x))
12 + 36x + 15x2 = 3(4 + 2x + (2 * 5x + x * 5x))
12 + 36x + 15x2 = 3(4 + 2x + (10x + 5x2))

Combine like terms: 2x + 10x = 12x
12 + 36x + 15x2 = 3(4 + 12x + 5x2)
12 + 36x + 15x2 = (4 * 3 + 12x * 3 + 5x2 * 3)
12 + 36x + 15x2 = (12 + 36x + 15x2)

Add '-12' to each side of the equation.
12 + 36x + -12 + 15x2 = 12 + 36x + -12 + 15x2

Reorder the terms:
12 + -12 + 36x + 15x2 = 12 + 36x + -12 + 15x2

Combine like terms: 12 + -12 = 0
0 + 36x + 15x2 = 12 + 36x + -12 + 15x2
36x + 15x2 = 12 + 36x + -12 + 15x2

Reorder the terms:
36x + 15x2 = 12 + -12 + 36x + 15x2

Combine like terms: 12 + -12 = 0
36x + 15x2 = 0 + 36x + 15x2
36x + 15x2 = 36x + 15x2

Add '-36x' to each side of the equation.
36x + -36x + 15x2 = 36x + -36x + 15x2

Combine like terms: 36x + -36x = 0
0 + 15x2 = 36x + -36x + 15x2
15x2 = 36x + -36x + 15x2

Combine like terms: 36x + -36x = 0
15x2 = 0 + 15x2
15x2 = 15x2

Add '-15x2' to each side of the equation.
15x2 + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
0 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 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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