(3a+1)x^2+(a+2)+1=7

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Solution for (3a+1)x^2+(a+2)+1=7 equation:


Simplifying
(3a + 1) * x2 + (a + 2) + 1 = 7

Reorder the terms:
(1 + 3a) * x2 + (a + 2) + 1 = 7

Reorder the terms for easier multiplication:
x2(1 + 3a) + (a + 2) + 1 = 7
(1 * x2 + 3a * x2) + (a + 2) + 1 = 7

Reorder the terms:
(3ax2 + 1x2) + (a + 2) + 1 = 7
(3ax2 + 1x2) + (a + 2) + 1 = 7

Reorder the terms:
3ax2 + 1x2 + (2 + a) + 1 = 7

Remove parenthesis around (2 + a)
3ax2 + 1x2 + 2 + a + 1 = 7

Reorder the terms:
2 + 1 + a + 3ax2 + 1x2 = 7

Combine like terms: 2 + 1 = 3
3 + a + 3ax2 + 1x2 = 7

Solving
3 + a + 3ax2 + 1x2 = 7

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + a + 3ax2 + -3 + 1x2 = 7 + -3

Reorder the terms:
3 + -3 + a + 3ax2 + 1x2 = 7 + -3

Combine like terms: 3 + -3 = 0
0 + a + 3ax2 + 1x2 = 7 + -3
a + 3ax2 + 1x2 = 7 + -3

Combine like terms: 7 + -3 = 4
a + 3ax2 + 1x2 = 4

Add '-1x2' to each side of the equation.
a + 3ax2 + 1x2 + -1x2 = 4 + -1x2

Combine like terms: 1x2 + -1x2 = 0
a + 3ax2 + 0 = 4 + -1x2
a + 3ax2 = 4 + -1x2

Reorder the terms:
-4 + a + 3ax2 + x2 = 4 + -1x2 + -4 + x2

Reorder the terms:
-4 + a + 3ax2 + x2 = 4 + -4 + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + a + 3ax2 + x2 = 0 + -1x2 + x2
-4 + a + 3ax2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + a + 3ax2 + x2 = 0

The solution to this equation could not be determined.

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