3(12x*12x+x+1)+12(12x*12x+x+1)=15(12x*12x+x+1)

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Solution for 3(12x*12x+x+1)+12(12x*12x+x+1)=15(12x*12x+x+1) equation: 


Simplifying
3(12x * 12x + x + 1) + 12(12x * 12x + x + 1) = 15(12x * 12x + x + 1)

Reorder the terms for easier multiplication:
3(12 * 12x * x + x + 1) + 12(12x * 12x + x + 1) = 15(12x * 12x + x + 1)

Multiply 12 * 12
3(144x * x + x + 1) + 12(12x * 12x + x + 1) = 15(12x * 12x + x + 1)

Multiply x * x
3(144x2 + x + 1) + 12(12x * 12x + x + 1) = 15(12x * 12x + x + 1)

Reorder the terms:
3(1 + x + 144x2) + 12(12x * 12x + x + 1) = 15(12x * 12x + x + 1)
(1 * 3 + x * 3 + 144x2 * 3) + 12(12x * 12x + x + 1) = 15(12x * 12x + x + 1)
(3 + 3x + 432x2) + 12(12x * 12x + x + 1) = 15(12x * 12x + x + 1)

Reorder the terms for easier multiplication:
3 + 3x + 432x2 + 12(12 * 12x * x + x + 1) = 15(12x * 12x + x + 1)

Multiply 12 * 12
3 + 3x + 432x2 + 12(144x * x + x + 1) = 15(12x * 12x + x + 1)

Multiply x * x
3 + 3x + 432x2 + 12(144x2 + x + 1) = 15(12x * 12x + x + 1)

Reorder the terms:
3 + 3x + 432x2 + 12(1 + x + 144x2) = 15(12x * 12x + x + 1)
3 + 3x + 432x2 + (1 * 12 + x * 12 + 144x2 * 12) = 15(12x * 12x + x + 1)
3 + 3x + 432x2 + (12 + 12x + 1728x2) = 15(12x * 12x + x + 1)

Reorder the terms:
3 + 12 + 3x + 12x + 432x2 + 1728x2 = 15(12x * 12x + x + 1)

Combine like terms: 3 + 12 = 15
15 + 3x + 12x + 432x2 + 1728x2 = 15(12x * 12x + x + 1)

Combine like terms: 3x + 12x = 15x
15 + 15x + 432x2 + 1728x2 = 15(12x * 12x + x + 1)

Combine like terms: 432x2 + 1728x2 = 2160x2
15 + 15x + 2160x2 = 15(12x * 12x + x + 1)

Reorder the terms for easier multiplication:
15 + 15x + 2160x2 = 15(12 * 12x * x + x + 1)

Multiply 12 * 12
15 + 15x + 2160x2 = 15(144x * x + x + 1)

Multiply x * x
15 + 15x + 2160x2 = 15(144x2 + x + 1)

Reorder the terms:
15 + 15x + 2160x2 = 15(1 + x + 144x2)
15 + 15x + 2160x2 = (1 * 15 + x * 15 + 144x2 * 15)
15 + 15x + 2160x2 = (15 + 15x + 2160x2)

Add '-15' to each side of the equation.
15 + 15x + -15 + 2160x2 = 15 + 15x + -15 + 2160x2

Reorder the terms:
15 + -15 + 15x + 2160x2 = 15 + 15x + -15 + 2160x2

Combine like terms: 15 + -15 = 0
0 + 15x + 2160x2 = 15 + 15x + -15 + 2160x2
15x + 2160x2 = 15 + 15x + -15 + 2160x2

Reorder the terms:
15x + 2160x2 = 15 + -15 + 15x + 2160x2

Combine like terms: 15 + -15 = 0
15x + 2160x2 = 0 + 15x + 2160x2
15x + 2160x2 = 15x + 2160x2

Add '-15x' to each side of the equation.
15x + -15x + 2160x2 = 15x + -15x + 2160x2

Combine like terms: 15x + -15x = 0
0 + 2160x2 = 15x + -15x + 2160x2
2160x2 = 15x + -15x + 2160x2

Combine like terms: 15x + -15x = 0
2160x2 = 0 + 2160x2
2160x2 = 2160x2

Add '-2160x2' to each side of the equation.
2160x2 + -2160x2 = 2160x2 + -2160x2

Combine like terms: 2160x2 + -2160x2 = 0
0 = 2160x2 + -2160x2

Combine like terms: 2160x2 + -2160x2 = 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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