6(2a-b)-15(2a-b)*(2a-b)=3(2a-b)(2-10a+5b)

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Solution for 6(2a-b)-15(2a-b)*(2a-b)=3(2a-b)(2-10a+5b) equation: 


Simplifying
6(2a + -1b) + -15(2a + -1b)(2a + -1b) = 3(2a + -1b)(2 + -10a + 5b)
(2a * 6 + -1b * 6) + -15(2a + -1b)(2a + -1b) = 3(2a + -1b)(2 + -10a + 5b)
(12a + -6b) + -15(2a + -1b)(2a + -1b) = 3(2a + -1b)(2 + -10a + 5b)

Multiply (2a + -1b) * (2a + -1b)
12a + -6b + -15(2a * (2a + -1b) + -1b * (2a + -1b)) = 3(2a + -1b)(2 + -10a + 5b)
12a + -6b + -15((2a * 2a + -1b * 2a) + -1b * (2a + -1b)) = 3(2a + -1b)(2 + -10a + 5b)

Reorder the terms:
12a + -6b + -15((-2ab + 4a2) + -1b * (2a + -1b)) = 3(2a + -1b)(2 + -10a + 5b)
12a + -6b + -15((-2ab + 4a2) + -1b * (2a + -1b)) = 3(2a + -1b)(2 + -10a + 5b)
12a + -6b + -15(-2ab + 4a2 + (2a * -1b + -1b * -1b)) = 3(2a + -1b)(2 + -10a + 5b)
12a + -6b + -15(-2ab + 4a2 + (-2ab + 1b2)) = 3(2a + -1b)(2 + -10a + 5b)

Reorder the terms:
12a + -6b + -15(-2ab + -2ab + 4a2 + 1b2) = 3(2a + -1b)(2 + -10a + 5b)

Combine like terms: -2ab + -2ab = -4ab
12a + -6b + -15(-4ab + 4a2 + 1b2) = 3(2a + -1b)(2 + -10a + 5b)
12a + -6b + (-4ab * -15 + 4a2 * -15 + 1b2 * -15) = 3(2a + -1b)(2 + -10a + 5b)
12a + -6b + (60ab + -60a2 + -15b2) = 3(2a + -1b)(2 + -10a + 5b)

Reorder the terms:
12a + 60ab + -60a2 + -6b + -15b2 = 3(2a + -1b)(2 + -10a + 5b)

Multiply (2a + -1b) * (2 + -10a + 5b)
12a + 60ab + -60a2 + -6b + -15b2 = 3(2a * (2 + -10a + 5b) + -1b * (2 + -10a + 5b))
12a + 60ab + -60a2 + -6b + -15b2 = 3((2 * 2a + -10a * 2a + 5b * 2a) + -1b * (2 + -10a + 5b))

Reorder the terms:
12a + 60ab + -60a2 + -6b + -15b2 = 3((4a + 10ab + -20a2) + -1b * (2 + -10a + 5b))
12a + 60ab + -60a2 + -6b + -15b2 = 3((4a + 10ab + -20a2) + -1b * (2 + -10a + 5b))
12a + 60ab + -60a2 + -6b + -15b2 = 3(4a + 10ab + -20a2 + (2 * -1b + -10a * -1b + 5b * -1b))

Reorder the terms:
12a + 60ab + -60a2 + -6b + -15b2 = 3(4a + 10ab + -20a2 + (10ab + -2b + -5b2))
12a + 60ab + -60a2 + -6b + -15b2 = 3(4a + 10ab + -20a2 + (10ab + -2b + -5b2))

Reorder the terms:
12a + 60ab + -60a2 + -6b + -15b2 = 3(4a + 10ab + 10ab + -20a2 + -2b + -5b2)

Combine like terms: 10ab + 10ab = 20ab
12a + 60ab + -60a2 + -6b + -15b2 = 3(4a + 20ab + -20a2 + -2b + -5b2)
12a + 60ab + -60a2 + -6b + -15b2 = (4a * 3 + 20ab * 3 + -20a2 * 3 + -2b * 3 + -5b2 * 3)
12a + 60ab + -60a2 + -6b + -15b2 = (12a + 60ab + -60a2 + -6b + -15b2)

Add '-12a' to each side of the equation.
12a + 60ab + -60a2 + -6b + -12a + -15b2 = 12a + 60ab + -60a2 + -6b + -12a + -15b2

Reorder the terms:
12a + -12a + 60ab + -60a2 + -6b + -15b2 = 12a + 60ab + -60a2 + -6b + -12a + -15b2

Combine like terms: 12a + -12a = 0
0 + 60ab + -60a2 + -6b + -15b2 = 12a + 60ab + -60a2 + -6b + -12a + -15b2
60ab + -60a2 + -6b + -15b2 = 12a + 60ab + -60a2 + -6b + -12a + -15b2

Reorder the terms:
60ab + -60a2 + -6b + -15b2 = 12a + -12a + 60ab + -60a2 + -6b + -15b2

Combine like terms: 12a + -12a = 0
60ab + -60a2 + -6b + -15b2 = 0 + 60ab + -60a2 + -6b + -15b2
60ab + -60a2 + -6b + -15b2 = 60ab + -60a2 + -6b + -15b2

Add '-60ab' to each side of the equation.
60ab + -60a2 + -6b + -60ab + -15b2 = 60ab + -60a2 + -6b + -60ab + -15b2

Reorder the terms:
60ab + -60ab + -60a2 + -6b + -15b2 = 60ab + -60a2 + -6b + -60ab + -15b2

Combine like terms: 60ab + -60ab = 0
0 + -60a2 + -6b + -15b2 = 60ab + -60a2 + -6b + -60ab + -15b2
-60a2 + -6b + -15b2 = 60ab + -60a2 + -6b + -60ab + -15b2

Reorder the terms:
-60a2 + -6b + -15b2 = 60ab + -60ab + -60a2 + -6b + -15b2

Combine like terms: 60ab + -60ab = 0
-60a2 + -6b + -15b2 = 0 + -60a2 + -6b + -15b2
-60a2 + -6b + -15b2 = -60a2 + -6b + -15b2

Add '60a2' to each side of the equation.
-60a2 + -6b + 60a2 + -15b2 = -60a2 + -6b + 60a2 + -15b2

Reorder the terms:
-60a2 + 60a2 + -6b + -15b2 = -60a2 + -6b + 60a2 + -15b2

Combine like terms: -60a2 + 60a2 = 0
0 + -6b + -15b2 = -60a2 + -6b + 60a2 + -15b2
-6b + -15b2 = -60a2 + -6b + 60a2 + -15b2

Reorder the terms:
-6b + -15b2 = -60a2 + 60a2 + -6b + -15b2

Combine like terms: -60a2 + 60a2 = 0
-6b + -15b2 = 0 + -6b + -15b2
-6b + -15b2 = -6b + -15b2

Add '6b' to each side of the equation.
-6b + 6b + -15b2 = -6b + 6b + -15b2

Combine like terms: -6b + 6b = 0
0 + -15b2 = -6b + 6b + -15b2
-15b2 = -6b + 6b + -15b2

Combine like terms: -6b + 6b = 0
-15b2 = 0 + -15b2
-15b2 = -15b2

Add '15b2' to each side of the equation.
-15b2 + 15b2 = -15b2 + 15b2

Combine like terms: -15b2 + 15b2 = 0
0 = -15b2 + 15b2

Combine like terms: -15b2 + 15b2 = 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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