x^2(a+b)-11x(a+b)+18(a+b)=

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Solution for x^2(a+b)-11x(a+b)+18(a+b)= equation: 


Simplifying
x2(a + b) + -11x(a + b) + 18(a + b) = 0
(a * x2 + b * x2) + -11x(a + b) + 18(a + b) = 0
(ax2 + bx2) + -11x(a + b) + 18(a + b) = 0
ax2 + bx2 + (a * -11x + b * -11x) + 18(a + b) = 0
ax2 + bx2 + (-11ax + -11bx) + 18(a + b) = 0
ax2 + bx2 + -11ax + -11bx + (a * 18 + b * 18) = 0
ax2 + bx2 + -11ax + -11bx + (18a + 18b) = 0

Reorder the terms:
18a + -11ax + ax2 + 18b + -11bx + bx2 = 0

Solving
18a + -11ax + ax2 + 18b + -11bx + bx2 = 0

Solving for variable 'a'.

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

Add '-18b' to each side of the equation.
18a + -11ax + ax2 + 18b + -11bx + -18b + bx2 = 0 + -18b

Reorder the terms:
18a + -11ax + ax2 + 18b + -18b + -11bx + bx2 = 0 + -18b

Combine like terms: 18b + -18b = 0
18a + -11ax + ax2 + 0 + -11bx + bx2 = 0 + -18b
18a + -11ax + ax2 + -11bx + bx2 = 0 + -18b
Remove the zero:
18a + -11ax + ax2 + -11bx + bx2 = -18b

Add '11bx' to each side of the equation.
18a + -11ax + ax2 + -11bx + 11bx + bx2 = -18b + 11bx

Combine like terms: -11bx + 11bx = 0
18a + -11ax + ax2 + 0 + bx2 = -18b + 11bx
18a + -11ax + ax2 + bx2 = -18b + 11bx

Add '-1bx2' to each side of the equation.
18a + -11ax + ax2 + bx2 + -1bx2 = -18b + 11bx + -1bx2

Combine like terms: bx2 + -1bx2 = 0
18a + -11ax + ax2 + 0 = -18b + 11bx + -1bx2
18a + -11ax + ax2 = -18b + 11bx + -1bx2

Reorder the terms:
18a + -11ax + ax2 + 18b + -11bx + bx2 = -18b + 18b + 11bx + -11bx + -1bx2 + bx2

Combine like terms: -18b + 18b = 0
18a + -11ax + ax2 + 18b + -11bx + bx2 = 0 + 11bx + -11bx + -1bx2 + bx2
18a + -11ax + ax2 + 18b + -11bx + bx2 = 11bx + -11bx + -1bx2 + bx2

Combine like terms: 11bx + -11bx = 0
18a + -11ax + ax2 + 18b + -11bx + bx2 = 0 + -1bx2 + bx2
18a + -11ax + ax2 + 18b + -11bx + bx2 = -1bx2 + bx2

Combine like terms: -1bx2 + bx2 = 0
18a + -11ax + ax2 + 18b + -11bx + bx2 = 0

The solution to this equation could not be determined.

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