(a+5)x^2+(2a+4)x+a=0

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Solution for (a+5)x^2+(2a+4)x+a=0 equation: 


Simplifying
(a + 5) * x2 + (2a + 4) * x + a = 0

Reorder the terms:
(5 + a) * x2 + (2a + 4) * x + a = 0

Reorder the terms for easier multiplication:
x2(5 + a) + (2a + 4) * x + a = 0
(5 * x2 + a * x2) + (2a + 4) * x + a = 0

Reorder the terms:
(ax2 + 5x2) + (2a + 4) * x + a = 0
(ax2 + 5x2) + (2a + 4) * x + a = 0

Reorder the terms:
ax2 + 5x2 + (4 + 2a) * x + a = 0

Reorder the terms for easier multiplication:
ax2 + 5x2 + x(4 + 2a) + a = 0
ax2 + 5x2 + (4 * x + 2a * x) + a = 0

Reorder the terms:
ax2 + 5x2 + (2ax + 4x) + a = 0
ax2 + 5x2 + (2ax + 4x) + a = 0

Reorder the terms:
a + 2ax + ax2 + 4x + 5x2 = 0

Solving
a + 2ax + ax2 + 4x + 5x2 = 0

Solving for variable 'a'.

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

Add '-4x' to each side of the equation.
a + 2ax + ax2 + 4x + -4x + 5x2 = 0 + -4x

Combine like terms: 4x + -4x = 0
a + 2ax + ax2 + 0 + 5x2 = 0 + -4x
a + 2ax + ax2 + 5x2 = 0 + -4x
Remove the zero:
a + 2ax + ax2 + 5x2 = -4x

Add '-5x2' to each side of the equation.
a + 2ax + ax2 + 5x2 + -5x2 = -4x + -5x2

Combine like terms: 5x2 + -5x2 = 0
a + 2ax + ax2 + 0 = -4x + -5x2
a + 2ax + ax2 = -4x + -5x2

Reorder the terms:
a + 2ax + ax2 + 4x + 5x2 = -4x + 4x + -5x2 + 5x2

Combine like terms: -4x + 4x = 0
a + 2ax + ax2 + 4x + 5x2 = 0 + -5x2 + 5x2
a + 2ax + ax2 + 4x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
a + 2ax + ax2 + 4x + 5x2 = 0

The solution to this equation could not be determined.

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