(a+b)x^2+(a+b)x-20(a+b)=

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Solution for (a+b)x^2+(a+b)x-20(a+b)= equation:


Simplifying
(a + b) * x2 + (a + b) * x + -20(a + b) = 0

Reorder the terms for easier multiplication:
x2(a + b) + (a + b) * x + -20(a + b) = 0
(a * x2 + b * x2) + (a + b) * x + -20(a + b) = 0
(ax2 + bx2) + (a + b) * x + -20(a + b) = 0

Reorder the terms for easier multiplication:
ax2 + bx2 + x(a + b) + -20(a + b) = 0
ax2 + bx2 + (a * x + b * x) + -20(a + b) = 0
ax2 + bx2 + (ax + bx) + -20(a + b) = 0
ax2 + bx2 + ax + bx + (a * -20 + b * -20) = 0
ax2 + bx2 + ax + bx + (-20a + -20b) = 0

Reorder the terms:
-20a + ax + ax2 + -20b + bx + bx2 = 0

Solving
-20a + ax + ax2 + -20b + bx + bx2 = 0

Solving for variable 'a'.

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

Add '20b' to each side of the equation.
-20a + ax + ax2 + -20b + bx + 20b + bx2 = 0 + 20b

Reorder the terms:
-20a + ax + ax2 + -20b + 20b + bx + bx2 = 0 + 20b

Combine like terms: -20b + 20b = 0
-20a + ax + ax2 + 0 + bx + bx2 = 0 + 20b
-20a + ax + ax2 + bx + bx2 = 0 + 20b
Remove the zero:
-20a + ax + ax2 + bx + bx2 = 20b

Add '-1bx' to each side of the equation.
-20a + ax + ax2 + bx + -1bx + bx2 = 20b + -1bx

Combine like terms: bx + -1bx = 0
-20a + ax + ax2 + 0 + bx2 = 20b + -1bx
-20a + ax + ax2 + bx2 = 20b + -1bx

Add '-1bx2' to each side of the equation.
-20a + ax + ax2 + bx2 + -1bx2 = 20b + -1bx + -1bx2

Combine like terms: bx2 + -1bx2 = 0
-20a + ax + ax2 + 0 = 20b + -1bx + -1bx2
-20a + ax + ax2 = 20b + -1bx + -1bx2

Reorder the terms:
-20a + ax + ax2 + -20b + bx + bx2 = 20b + -20b + -1bx + bx + -1bx2 + bx2

Combine like terms: 20b + -20b = 0
-20a + ax + ax2 + -20b + bx + bx2 = 0 + -1bx + bx + -1bx2 + bx2
-20a + ax + ax2 + -20b + bx + bx2 = -1bx + bx + -1bx2 + bx2

Combine like terms: -1bx + bx = 0
-20a + ax + ax2 + -20b + bx + bx2 = 0 + -1bx2 + bx2
-20a + ax + ax2 + -20b + bx + bx2 = -1bx2 + bx2

Combine like terms: -1bx2 + bx2 = 0
-20a + ax + ax2 + -20b + bx + bx2 = 0

The solution to this equation could not be determined.

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