3a(x-3)=2(x^2-7)+2

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


Simplifying
3a(x + -3) = 2(x2 + -7) + 2

Reorder the terms:
3a(-3 + x) = 2(x2 + -7) + 2
(-3 * 3a + x * 3a) = 2(x2 + -7) + 2
(-9a + 3ax) = 2(x2 + -7) + 2

Reorder the terms:
-9a + 3ax = 2(-7 + x2) + 2
-9a + 3ax = (-7 * 2 + x2 * 2) + 2
-9a + 3ax = (-14 + 2x2) + 2

Reorder the terms:
-9a + 3ax = -14 + 2 + 2x2

Combine like terms: -14 + 2 = -12
-9a + 3ax = -12 + 2x2

Solving
-9a + 3ax = -12 + 2x2

Solving for variable 'a'.

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

Reorder the terms:
12 + -9a + 3ax + -2x2 = -12 + 2x2 + 12 + -2x2

Reorder the terms:
12 + -9a + 3ax + -2x2 = -12 + 12 + 2x2 + -2x2

Combine like terms: -12 + 12 = 0
12 + -9a + 3ax + -2x2 = 0 + 2x2 + -2x2
12 + -9a + 3ax + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + -9a + 3ax + -2x2 = 0

The solution to this equation could not be determined.

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