ax^2+bx+y=w+a

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Solution for ax^2+bx+y=w+a equation:


Simplifying
ax2 + bx + y = w + a

Reorder the terms:
ax2 + bx + y = a + w

Solving
ax2 + bx + y = a + w

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
ax2 + bx + -1a + y = a + -1a + w

Reorder the terms:
-1a + ax2 + bx + y = a + -1a + w

Combine like terms: a + -1a = 0
-1a + ax2 + bx + y = 0 + w
-1a + ax2 + bx + y = w

Add '-1bx' to each side of the equation.
-1a + ax2 + bx + -1bx + y = -1bx + w

Combine like terms: bx + -1bx = 0
-1a + ax2 + 0 + y = -1bx + w
-1a + ax2 + y = -1bx + w

Add '-1y' to each side of the equation.
-1a + ax2 + y + -1y = -1bx + w + -1y

Combine like terms: y + -1y = 0
-1a + ax2 + 0 = -1bx + w + -1y
-1a + ax2 = -1bx + w + -1y

Reorder the terms:
-1a + ax2 + bx + -1w + y = -1bx + bx + w + -1w + -1y + y

Combine like terms: -1bx + bx = 0
-1a + ax2 + bx + -1w + y = 0 + w + -1w + -1y + y
-1a + ax2 + bx + -1w + y = w + -1w + -1y + y

Combine like terms: w + -1w = 0
-1a + ax2 + bx + -1w + y = 0 + -1y + y
-1a + ax2 + bx + -1w + y = -1y + y

Combine like terms: -1y + y = 0
-1a + ax2 + bx + -1w + y = 0

The solution to this equation could not be determined.

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