(a+b)x^2+(a+b)x-72(a+b)=0

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Solution for (a+b)x^2+(a+b)x-72(a+b)=0 equation: 


Simplifying
(a + b) * x2 + (a + b) * x + -72(a + b) = 0

Reorder the terms for easier multiplication:
x2(a + b) + (a + b) * x + -72(a + b) = 0
(a * x2 + b * x2) + (a + b) * x + -72(a + b) = 0
(ax2 + bx2) + (a + b) * x + -72(a + b) = 0

Reorder the terms for easier multiplication:
ax2 + bx2 + x(a + b) + -72(a + b) = 0
ax2 + bx2 + (a * x + b * x) + -72(a + b) = 0
ax2 + bx2 + (ax + bx) + -72(a + b) = 0
ax2 + bx2 + ax + bx + (a * -72 + b * -72) = 0
ax2 + bx2 + ax + bx + (-72a + -72b) = 0

Reorder the terms:
-72a + ax + ax2 + -72b + bx + bx2 = 0

Solving
-72a + ax + ax2 + -72b + bx + bx2 = 0

Solving for variable 'a'.

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

Add '72b' to each side of the equation.
-72a + ax + ax2 + -72b + bx + 72b + bx2 = 0 + 72b

Reorder the terms:
-72a + ax + ax2 + -72b + 72b + bx + bx2 = 0 + 72b

Combine like terms: -72b + 72b = 0
-72a + ax + ax2 + 0 + bx + bx2 = 0 + 72b
-72a + ax + ax2 + bx + bx2 = 0 + 72b
Remove the zero:
-72a + ax + ax2 + bx + bx2 = 72b

Add '-1bx' to each side of the equation.
-72a + ax + ax2 + bx + -1bx + bx2 = 72b + -1bx

Combine like terms: bx + -1bx = 0
-72a + ax + ax2 + 0 + bx2 = 72b + -1bx
-72a + ax + ax2 + bx2 = 72b + -1bx

Add '-1bx2' to each side of the equation.
-72a + ax + ax2 + bx2 + -1bx2 = 72b + -1bx + -1bx2

Combine like terms: bx2 + -1bx2 = 0
-72a + ax + ax2 + 0 = 72b + -1bx + -1bx2
-72a + ax + ax2 = 72b + -1bx + -1bx2

Reorder the terms:
-72a + ax + ax2 + -72b + bx + bx2 = 72b + -72b + -1bx + bx + -1bx2 + bx2

Combine like terms: 72b + -72b = 0
-72a + ax + ax2 + -72b + bx + bx2 = 0 + -1bx + bx + -1bx2 + bx2
-72a + ax + ax2 + -72b + bx + bx2 = -1bx + bx + -1bx2 + bx2

Combine like terms: -1bx + bx = 0
-72a + ax + ax2 + -72b + bx + bx2 = 0 + -1bx2 + bx2
-72a + ax + ax2 + -72b + bx + bx2 = -1bx2 + bx2

Combine like terms: -1bx2 + bx2 = 0
-72a + ax + ax2 + -72b + bx + bx2 = 0

The solution to this equation could not be determined.

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