(a+3)x^2+(2a+3)x-6=0

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Solution for (a+3)x^2+(2a+3)x-6=0 equation: 


Simplifying
(a + 3) * x2 + (2a + 3) * x + -6 = 0

Reorder the terms:
(3 + a) * x2 + (2a + 3) * x + -6 = 0

Reorder the terms for easier multiplication:
x2(3 + a) + (2a + 3) * x + -6 = 0
(3 * x2 + a * x2) + (2a + 3) * x + -6 = 0

Reorder the terms:
(ax2 + 3x2) + (2a + 3) * x + -6 = 0
(ax2 + 3x2) + (2a + 3) * x + -6 = 0

Reorder the terms:
ax2 + 3x2 + (3 + 2a) * x + -6 = 0

Reorder the terms for easier multiplication:
ax2 + 3x2 + x(3 + 2a) + -6 = 0
ax2 + 3x2 + (3 * x + 2a * x) + -6 = 0

Reorder the terms:
ax2 + 3x2 + (2ax + 3x) + -6 = 0
ax2 + 3x2 + (2ax + 3x) + -6 = 0

Reorder the terms:
-6 + 2ax + ax2 + 3x + 3x2 = 0

Solving
-6 + 2ax + ax2 + 3x + 3x2 = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 2ax + ax2 + 3x + 6 + 3x2 = 0 + 6

Reorder the terms:
-6 + 6 + 2ax + ax2 + 3x + 3x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2ax + ax2 + 3x + 3x2 = 0 + 6
2ax + ax2 + 3x + 3x2 = 0 + 6

Combine like terms: 0 + 6 = 6
2ax + ax2 + 3x + 3x2 = 6

Add '-3x' to each side of the equation.
2ax + ax2 + 3x + -3x + 3x2 = 6 + -3x

Combine like terms: 3x + -3x = 0
2ax + ax2 + 0 + 3x2 = 6 + -3x
2ax + ax2 + 3x2 = 6 + -3x

Add '-3x2' to each side of the equation.
2ax + ax2 + 3x2 + -3x2 = 6 + -3x + -3x2

Combine like terms: 3x2 + -3x2 = 0
2ax + ax2 + 0 = 6 + -3x + -3x2
2ax + ax2 = 6 + -3x + -3x2

Reorder the terms:
-6 + 2ax + ax2 + 3x + 3x2 = 6 + -3x + -3x2 + -6 + 3x + 3x2

Reorder the terms:
-6 + 2ax + ax2 + 3x + 3x2 = 6 + -6 + -3x + 3x + -3x2 + 3x2

Combine like terms: 6 + -6 = 0
-6 + 2ax + ax2 + 3x + 3x2 = 0 + -3x + 3x + -3x2 + 3x2
-6 + 2ax + ax2 + 3x + 3x2 = -3x + 3x + -3x2 + 3x2

Combine like terms: -3x + 3x = 0
-6 + 2ax + ax2 + 3x + 3x2 = 0 + -3x2 + 3x2
-6 + 2ax + ax2 + 3x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-6 + 2ax + ax2 + 3x + 3x2 = 0

The solution to this equation could not be determined.

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