3(a+2)+5=2a(b^2-7b)

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Solution for 3(a+2)+5=2a(b^2-7b) equation:


Simplifying
3(a + 2) + 5 = 2a(b2 + -7b)

Reorder the terms:
3(2 + a) + 5 = 2a(b2 + -7b)
(2 * 3 + a * 3) + 5 = 2a(b2 + -7b)
(6 + 3a) + 5 = 2a(b2 + -7b)

Reorder the terms:
6 + 5 + 3a = 2a(b2 + -7b)

Combine like terms: 6 + 5 = 11
11 + 3a = 2a(b2 + -7b)

Reorder the terms:
11 + 3a = 2a(-7b + b2)
11 + 3a = (-7b * 2a + b2 * 2a)
11 + 3a = (-14ab + 2ab2)

Solving
11 + 3a = -14ab + 2ab2

Solving for variable 'a'.

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

Add '14ab' to each side of the equation.
11 + 3a + 14ab = -14ab + 14ab + 2ab2

Combine like terms: -14ab + 14ab = 0
11 + 3a + 14ab = 0 + 2ab2
11 + 3a + 14ab = 2ab2

Add '-2ab2' to each side of the equation.
11 + 3a + 14ab + -2ab2 = 2ab2 + -2ab2

Combine like terms: 2ab2 + -2ab2 = 0
11 + 3a + 14ab + -2ab2 = 0

Add '-11' to each side of the equation.
11 + 3a + 14ab + -11 + -2ab2 = 0 + -11

Reorder the terms:
11 + -11 + 3a + 14ab + -2ab2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3a + 14ab + -2ab2 = 0 + -11
3a + 14ab + -2ab2 = 0 + -11

Combine like terms: 0 + -11 = -11
3a + 14ab + -2ab2 = -11

Reorder the terms:
11 + 3a + 14ab + -2ab2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + 3a + 14ab + -2ab2 = 0

The solution to this equation could not be determined.

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