(a+b)x^2+(a+b)11x+24(a+b)=0

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Solution for (a+b)x^2+(a+b)11x+24(a+b)=0 equation: 


Simplifying
(a + b) * x2 + (a + b) * 11x + 24(a + b) = 0

Reorder the terms for easier multiplication:
x2(a + b) + (a + b) * 11x + 24(a + b) = 0
(a * x2 + b * x2) + (a + b) * 11x + 24(a + b) = 0
(ax2 + bx2) + (a + b) * 11x + 24(a + b) = 0

Reorder the terms for easier multiplication:
ax2 + bx2 + 11x(a + b) + 24(a + b) = 0
ax2 + bx2 + (a * 11x + b * 11x) + 24(a + b) = 0
ax2 + bx2 + (11ax + 11bx) + 24(a + b) = 0
ax2 + bx2 + 11ax + 11bx + (a * 24 + b * 24) = 0
ax2 + bx2 + 11ax + 11bx + (24a + 24b) = 0

Reorder the terms:
24a + 11ax + ax2 + 24b + 11bx + bx2 = 0

Solving
24a + 11ax + ax2 + 24b + 11bx + bx2 = 0

Solving for variable 'a'.

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

Add '-24b' to each side of the equation.
24a + 11ax + ax2 + 24b + 11bx + -24b + bx2 = 0 + -24b

Reorder the terms:
24a + 11ax + ax2 + 24b + -24b + 11bx + bx2 = 0 + -24b

Combine like terms: 24b + -24b = 0
24a + 11ax + ax2 + 0 + 11bx + bx2 = 0 + -24b
24a + 11ax + ax2 + 11bx + bx2 = 0 + -24b
Remove the zero:
24a + 11ax + ax2 + 11bx + bx2 = -24b

Add '-11bx' to each side of the equation.
24a + 11ax + ax2 + 11bx + -11bx + bx2 = -24b + -11bx

Combine like terms: 11bx + -11bx = 0
24a + 11ax + ax2 + 0 + bx2 = -24b + -11bx
24a + 11ax + ax2 + bx2 = -24b + -11bx

Add '-1bx2' to each side of the equation.
24a + 11ax + ax2 + bx2 + -1bx2 = -24b + -11bx + -1bx2

Combine like terms: bx2 + -1bx2 = 0
24a + 11ax + ax2 + 0 = -24b + -11bx + -1bx2
24a + 11ax + ax2 = -24b + -11bx + -1bx2

Reorder the terms:
24a + 11ax + ax2 + 24b + 11bx + bx2 = -24b + 24b + -11bx + 11bx + -1bx2 + bx2

Combine like terms: -24b + 24b = 0
24a + 11ax + ax2 + 24b + 11bx + bx2 = 0 + -11bx + 11bx + -1bx2 + bx2
24a + 11ax + ax2 + 24b + 11bx + bx2 = -11bx + 11bx + -1bx2 + bx2

Combine like terms: -11bx + 11bx = 0
24a + 11ax + ax2 + 24b + 11bx + bx2 = 0 + -1bx2 + bx2
24a + 11ax + ax2 + 24b + 11bx + bx2 = -1bx2 + bx2

Combine like terms: -1bx2 + bx2 = 0
24a + 11ax + ax2 + 24b + 11bx + bx2 = 0

The solution to this equation could not be determined.

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