x^2+2ax+4x+a+2=0

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Solution for x^2+2ax+4x+a+2=0 equation:


Simplifying
x2 + 2ax + 4x + a + 2 = 0

Reorder the terms:
2 + a + 2ax + 4x + x2 = 0

Solving
2 + a + 2ax + 4x + x2 = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + a + 2ax + 4x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + a + 2ax + 4x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a + 2ax + 4x + x2 = 0 + -2
a + 2ax + 4x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
a + 2ax + 4x + x2 = -2

Add '-4x' to each side of the equation.
a + 2ax + 4x + -4x + x2 = -2 + -4x

Combine like terms: 4x + -4x = 0
a + 2ax + 0 + x2 = -2 + -4x
a + 2ax + x2 = -2 + -4x

Add '-1x2' to each side of the equation.
a + 2ax + x2 + -1x2 = -2 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
a + 2ax + 0 = -2 + -4x + -1x2
a + 2ax = -2 + -4x + -1x2

Reorder the terms:
2 + a + 2ax + 4x + x2 = -2 + -4x + -1x2 + 2 + 4x + x2

Reorder the terms:
2 + a + 2ax + 4x + x2 = -2 + 2 + -4x + 4x + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + a + 2ax + 4x + x2 = 0 + -4x + 4x + -1x2 + x2
2 + a + 2ax + 4x + x2 = -4x + 4x + -1x2 + x2

Combine like terms: -4x + 4x = 0
2 + a + 2ax + 4x + x2 = 0 + -1x2 + x2
2 + a + 2ax + 4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + a + 2ax + 4x + x2 = 0

The solution to this equation could not be determined.

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