(2a+3b)(4a^2-6ab+9b^2)=c

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Solution for (2a+3b)(4a^2-6ab+9b^2)=c equation: 


Simplifying
(2a + 3b)(4a2 + -6ab + 9b2) = c

Reorder the terms:
(2a + 3b)(-6ab + 4a2 + 9b2) = c

Multiply (2a + 3b) * (-6ab + 4a2 + 9b2)
(2a * (-6ab + 4a2 + 9b2) + 3b * (-6ab + 4a2 + 9b2)) = c
((-6ab * 2a + 4a2 * 2a + 9b2 * 2a) + 3b * (-6ab + 4a2 + 9b2)) = c

Reorder the terms:
((18ab2 + -12a2b + 8a3) + 3b * (-6ab + 4a2 + 9b2)) = c
((18ab2 + -12a2b + 8a3) + 3b * (-6ab + 4a2 + 9b2)) = c
(18ab2 + -12a2b + 8a3 + (-6ab * 3b + 4a2 * 3b + 9b2 * 3b)) = c
(18ab2 + -12a2b + 8a3 + (-18ab2 + 12a2b + 27b3)) = c

Reorder the terms:
(18ab2 + -18ab2 + -12a2b + 12a2b + 8a3 + 27b3) = c

Combine like terms: 18ab2 + -18ab2 = 0
(0 + -12a2b + 12a2b + 8a3 + 27b3) = c
(-12a2b + 12a2b + 8a3 + 27b3) = c

Combine like terms: -12a2b + 12a2b = 0
(0 + 8a3 + 27b3) = c
(8a3 + 27b3) = c

Solving
8a3 + 27b3 = c

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-27b3' to each side of the equation.
8a3 + 27b3 + -27b3 = -27b3 + c

Combine like terms: 27b3 + -27b3 = 0
8a3 + 0 = -27b3 + c
8a3 = -27b3 + c

Divide each side by '8'.
a3 = -3.375b3 + 0.125c

Simplifying
a3 = -3.375b3 + 0.125c

Reorder the terms:
a3 + 3.375b3 + -0.125c = -3.375b3 + 3.375b3 + 0.125c + -0.125c

Combine like terms: -3.375b3 + 3.375b3 = 0.000
a3 + 3.375b3 + -0.125c = 0.000 + 0.125c + -0.125c
a3 + 3.375b3 + -0.125c = 0.125c + -0.125c

Combine like terms: 0.125c + -0.125c = 0.000
a3 + 3.375b3 + -0.125c = 0.000

The solution to this equation could not be determined.

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