(a+1)*x^2+(3a-1)*x+4=0

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Solution for (a+1)*x^2+(3a-1)*x+4=0 equation: 


Simplifying
(a + 1) * x2 + (3a + -1) * x + 4 = 0

Reorder the terms:
(1 + a) * x2 + (3a + -1) * x + 4 = 0

Reorder the terms for easier multiplication:
x2(1 + a) + (3a + -1) * x + 4 = 0
(1 * x2 + a * x2) + (3a + -1) * x + 4 = 0

Reorder the terms:
(ax2 + 1x2) + (3a + -1) * x + 4 = 0
(ax2 + 1x2) + (3a + -1) * x + 4 = 0

Reorder the terms:
ax2 + 1x2 + (-1 + 3a) * x + 4 = 0

Reorder the terms for easier multiplication:
ax2 + 1x2 + x(-1 + 3a) + 4 = 0
ax2 + 1x2 + (-1 * x + 3a * x) + 4 = 0

Reorder the terms:
ax2 + 1x2 + (3ax + -1x) + 4 = 0
ax2 + 1x2 + (3ax + -1x) + 4 = 0

Reorder the terms:
4 + 3ax + ax2 + -1x + 1x2 = 0

Solving
4 + 3ax + ax2 + -1x + 1x2 = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + 3ax + ax2 + -1x + -4 + 1x2 = 0 + -4

Reorder the terms:
4 + -4 + 3ax + ax2 + -1x + 1x2 = 0 + -4

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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