(3x-4)(9(x^2)+12x+16)=27(x^3)-64

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Solution for (3x-4)(9(x^2)+12x+16)=27(x^3)-64 equation: 


Simplifying
(3x + -4)(9(x2) + 12x + 16) = 27(x3) + -64

Reorder the terms:
(-4 + 3x)(9(x2) + 12x + 16) = 27(x3) + -64

Reorder the terms:
(-4 + 3x)(16 + 12x + 9x2) = 27(x3) + -64

Multiply (-4 + 3x) * (16 + 12x + 9x2)
(-4(16 + 12x + 9x2) + 3x * (16 + 12x + 9x2)) = 27(x3) + -64
((16 * -4 + 12x * -4 + 9x2 * -4) + 3x * (16 + 12x + 9x2)) = 27(x3) + -64
((-64 + -48x + -36x2) + 3x * (16 + 12x + 9x2)) = 27(x3) + -64
(-64 + -48x + -36x2 + (16 * 3x + 12x * 3x + 9x2 * 3x)) = 27(x3) + -64
(-64 + -48x + -36x2 + (48x + 36x2 + 27x3)) = 27(x3) + -64

Reorder the terms:
(-64 + -48x + 48x + -36x2 + 36x2 + 27x3) = 27(x3) + -64

Combine like terms: -48x + 48x = 0
(-64 + 0 + -36x2 + 36x2 + 27x3) = 27(x3) + -64
(-64 + -36x2 + 36x2 + 27x3) = 27(x3) + -64

Combine like terms: -36x2 + 36x2 = 0
(-64 + 0 + 27x3) = 27(x3) + -64
(-64 + 27x3) = 27(x3) + -64

Reorder the terms:
-64 + 27x3 = -64 + 27x3

Add '64' to each side of the equation.
-64 + 64 + 27x3 = -64 + 64 + 27x3

Combine like terms: -64 + 64 = 0
0 + 27x3 = -64 + 64 + 27x3
27x3 = -64 + 64 + 27x3

Combine like terms: -64 + 64 = 0
27x3 = 0 + 27x3
27x3 = 27x3

Add '-27x3' to each side of the equation.
27x3 + -27x3 = 27x3 + -27x3

Combine like terms: 27x3 + -27x3 = 0
0 = 27x3 + -27x3

Combine like terms: 27x3 + -27x3 = 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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