7r-2r(2r*3)-2=2r^2(r-2)(3+6r)-8

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Solution for 7r-2r(2r*3)-2=2r^2(r-2)(3+6r)-8 equation: 


Simplifying
7r + -2r(2r * 3) + -2 = 2r2(r + -2)(3 + 6r) + -8

Reorder the terms for easier multiplication:
7r + -2r(2 * 3r) + -2 = 2r2(r + -2)(3 + 6r) + -8

Multiply 2 * 3
7r + -2r(6r) + -2 = 2r2(r + -2)(3 + 6r) + -8

Remove parenthesis around (6r)
7r + -2r * 6r + -2 = 2r2(r + -2)(3 + 6r) + -8

Reorder the terms for easier multiplication:
7r + -2 * 6r * r + -2 = 2r2(r + -2)(3 + 6r) + -8

Multiply -2 * 6
7r + -12r * r + -2 = 2r2(r + -2)(3 + 6r) + -8

Multiply r * r
7r + -12r2 + -2 = 2r2(r + -2)(3 + 6r) + -8

Reorder the terms:
-2 + 7r + -12r2 = 2r2(r + -2)(3 + 6r) + -8

Reorder the terms:
-2 + 7r + -12r2 = 2r2(-2 + r)(3 + 6r) + -8

Multiply (-2 + r) * (3 + 6r)
-2 + 7r + -12r2 = 2r2(-2(3 + 6r) + r(3 + 6r)) + -8
-2 + 7r + -12r2 = 2r2((3 * -2 + 6r * -2) + r(3 + 6r)) + -8
-2 + 7r + -12r2 = 2r2((-6 + -12r) + r(3 + 6r)) + -8
-2 + 7r + -12r2 = 2r2(-6 + -12r + (3 * r + 6r * r)) + -8
-2 + 7r + -12r2 = 2r2(-6 + -12r + (3r + 6r2)) + -8

Combine like terms: -12r + 3r = -9r
-2 + 7r + -12r2 = 2r2(-6 + -9r + 6r2) + -8
-2 + 7r + -12r2 = (-6 * 2r2 + -9r * 2r2 + 6r2 * 2r2) + -8
-2 + 7r + -12r2 = (-12r2 + -18r3 + 12r4) + -8

Reorder the terms:
-2 + 7r + -12r2 = -8 + -12r2 + -18r3 + 12r4

Add '12r2' to each side of the equation.
-2 + 7r + -12r2 + 12r2 = -8 + -12r2 + -18r3 + 12r2 + 12r4

Combine like terms: -12r2 + 12r2 = 0
-2 + 7r + 0 = -8 + -12r2 + -18r3 + 12r2 + 12r4
-2 + 7r = -8 + -12r2 + -18r3 + 12r2 + 12r4

Reorder the terms:
-2 + 7r = -8 + -12r2 + 12r2 + -18r3 + 12r4

Combine like terms: -12r2 + 12r2 = 0
-2 + 7r = -8 + 0 + -18r3 + 12r4
-2 + 7r = -8 + -18r3 + 12r4

Solving
-2 + 7r = -8 + -18r3 + 12r4

Solving for variable 'r'.

Reorder the terms:
-2 + 8 + 7r + 18r3 + -12r4 = -8 + -18r3 + 12r4 + 8 + 18r3 + -12r4

Combine like terms: -2 + 8 = 6
6 + 7r + 18r3 + -12r4 = -8 + -18r3 + 12r4 + 8 + 18r3 + -12r4

Reorder the terms:
6 + 7r + 18r3 + -12r4 = -8 + 8 + -18r3 + 18r3 + 12r4 + -12r4

Combine like terms: -8 + 8 = 0
6 + 7r + 18r3 + -12r4 = 0 + -18r3 + 18r3 + 12r4 + -12r4
6 + 7r + 18r3 + -12r4 = -18r3 + 18r3 + 12r4 + -12r4

Combine like terms: -18r3 + 18r3 = 0
6 + 7r + 18r3 + -12r4 = 0 + 12r4 + -12r4
6 + 7r + 18r3 + -12r4 = 12r4 + -12r4

Combine like terms: 12r4 + -12r4 = 0
6 + 7r + 18r3 + -12r4 = 0

The solution to this equation could not be determined.

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