ax^2+bx+v=0

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Solution for ax^2+bx+v=0 equation:


Simplifying
ax2 + bx + v = 0

Solving
ax2 + bx + v = 0

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
ax2 + bx + -1bx + v = 0 + -1bx

Combine like terms: bx + -1bx = 0
ax2 + 0 + v = 0 + -1bx
ax2 + v = 0 + -1bx
Remove the zero:
ax2 + v = -1bx

Add '-1v' to each side of the equation.
ax2 + v + -1v = -1bx + -1v

Combine like terms: v + -1v = 0
ax2 + 0 = -1bx + -1v
ax2 = -1bx + -1v

Divide each side by 'x2'.
a = -1bx-1 + -1vx-2

Simplifying
a = -1bx-1 + -1vx-2

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