(a+b)x^2+(a+b)x-12(a-b)=

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Solution for (a+b)x^2+(a+b)x-12(a-b)= equation: 


Simplifying
(a + b) * x2 + (a + b) * x + -12(a + -1b) = 0

Reorder the terms for easier multiplication:
x2(a + b) + (a + b) * x + -12(a + -1b) = 0
(a * x2 + b * x2) + (a + b) * x + -12(a + -1b) = 0
(ax2 + bx2) + (a + b) * x + -12(a + -1b) = 0

Reorder the terms for easier multiplication:
ax2 + bx2 + x(a + b) + -12(a + -1b) = 0
ax2 + bx2 + (a * x + b * x) + -12(a + -1b) = 0
ax2 + bx2 + (ax + bx) + -12(a + -1b) = 0
ax2 + bx2 + ax + bx + (a * -12 + -1b * -12) = 0
ax2 + bx2 + ax + bx + (-12a + 12b) = 0

Reorder the terms:
-12a + ax + ax2 + 12b + bx + bx2 = 0

Solving
-12a + ax + ax2 + 12b + bx + bx2 = 0

Solving for variable 'a'.

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

Add '-12b' to each side of the equation.
-12a + ax + ax2 + 12b + bx + -12b + bx2 = 0 + -12b

Reorder the terms:
-12a + ax + ax2 + 12b + -12b + bx + bx2 = 0 + -12b

Combine like terms: 12b + -12b = 0
-12a + ax + ax2 + 0 + bx + bx2 = 0 + -12b
-12a + ax + ax2 + bx + bx2 = 0 + -12b
Remove the zero:
-12a + ax + ax2 + bx + bx2 = -12b

Add '-1bx' to each side of the equation.
-12a + ax + ax2 + bx + -1bx + bx2 = -12b + -1bx

Combine like terms: bx + -1bx = 0
-12a + ax + ax2 + 0 + bx2 = -12b + -1bx
-12a + ax + ax2 + bx2 = -12b + -1bx

Add '-1bx2' to each side of the equation.
-12a + ax + ax2 + bx2 + -1bx2 = -12b + -1bx + -1bx2

Combine like terms: bx2 + -1bx2 = 0
-12a + ax + ax2 + 0 = -12b + -1bx + -1bx2
-12a + ax + ax2 = -12b + -1bx + -1bx2

Reorder the terms:
-12a + ax + ax2 + 12b + bx + bx2 = -12b + 12b + -1bx + bx + -1bx2 + bx2

Combine like terms: -12b + 12b = 0
-12a + ax + ax2 + 12b + bx + bx2 = 0 + -1bx + bx + -1bx2 + bx2
-12a + ax + ax2 + 12b + bx + bx2 = -1bx + bx + -1bx2 + bx2

Combine like terms: -1bx + bx = 0
-12a + ax + ax2 + 12b + bx + bx2 = 0 + -1bx2 + bx2
-12a + ax + ax2 + 12b + bx + bx2 = -1bx2 + bx2

Combine like terms: -1bx2 + bx2 = 0
-12a + ax + ax2 + 12b + bx + bx2 = 0

The solution to this equation could not be determined.

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