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

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


Simplifying
3a(x + 5) + -5 = 7 + (3 + 3x2)

Reorder the terms:
3a(5 + x) + -5 = 7 + (3 + 3x2)
(5 * 3a + x * 3a) + -5 = 7 + (3 + 3x2)
(15a + 3ax) + -5 = 7 + (3 + 3x2)

Reorder the terms:
-5 + 15a + 3ax = 7 + (3 + 3x2)

Remove parenthesis around (3 + 3x2)
-5 + 15a + 3ax = 7 + 3 + 3x2

Combine like terms: 7 + 3 = 10
-5 + 15a + 3ax = 10 + 3x2

Solving
-5 + 15a + 3ax = 10 + 3x2

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 15a + 5 + 3ax = 10 + 5 + 3x2

Reorder the terms:
-5 + 5 + 15a + 3ax = 10 + 5 + 3x2

Combine like terms: -5 + 5 = 0
0 + 15a + 3ax = 10 + 5 + 3x2
15a + 3ax = 10 + 5 + 3x2

Combine like terms: 10 + 5 = 15
15a + 3ax = 15 + 3x2

Reorder the terms:
-15 + 15a + 3ax + -3x2 = 15 + 3x2 + -15 + -3x2

Reorder the terms:
-15 + 15a + 3ax + -3x2 = 15 + -15 + 3x2 + -3x2

Combine like terms: 15 + -15 = 0
-15 + 15a + 3ax + -3x2 = 0 + 3x2 + -3x2
-15 + 15a + 3ax + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15 + 15a + 3ax + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 5a + ax + -1x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + 5a + ax + -1x2)' equal to zero and attempt to solve:

Simplifying
-5 + 5a + ax + -1x2 = 0

Solving
-5 + 5a + ax + -1x2 = 0

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

Add '5' to each side of the equation.
-5 + 5a + ax + 5 + -1x2 = 0 + 5

Reorder the terms:
-5 + 5 + 5a + ax + -1x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 5a + ax + -1x2 = 0 + 5
5a + ax + -1x2 = 0 + 5

Combine like terms: 0 + 5 = 5
5a + ax + -1x2 = 5

Add 'x2' to each side of the equation.
5a + ax + -1x2 + x2 = 5 + x2

Combine like terms: -1x2 + x2 = 0
5a + ax + 0 = 5 + x2
5a + ax = 5 + x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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