Proveax^2+cy^2+dx+ey+f=0

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Solution for Proveax^2+cy^2+dx+ey+f=0 equation:


Simplifying
Proveax2 + cy2 + dx + ey + f = 0

Solving
aeorvx2P + cy2 + dx + ey + f = 0

Solving for variable 'a'.

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

Add '-1cy2' to each side of the equation.
aeorvx2P + cy2 + dx + ey + -1cy2 + f = 0 + -1cy2

Reorder the terms:
aeorvx2P + cy2 + -1cy2 + dx + ey + f = 0 + -1cy2

Combine like terms: cy2 + -1cy2 = 0
aeorvx2P + 0 + dx + ey + f = 0 + -1cy2
aeorvx2P + dx + ey + f = 0 + -1cy2
Remove the zero:
aeorvx2P + dx + ey + f = -1cy2

Add '-1dx' to each side of the equation.
aeorvx2P + dx + ey + -1dx + f = -1cy2 + -1dx

Reorder the terms:
aeorvx2P + dx + -1dx + ey + f = -1cy2 + -1dx

Combine like terms: dx + -1dx = 0
aeorvx2P + 0 + ey + f = -1cy2 + -1dx
aeorvx2P + ey + f = -1cy2 + -1dx

Add '-1ey' to each side of the equation.
aeorvx2P + ey + -1ey + f = -1cy2 + -1dx + -1ey

Combine like terms: ey + -1ey = 0
aeorvx2P + 0 + f = -1cy2 + -1dx + -1ey
aeorvx2P + f = -1cy2 + -1dx + -1ey

Add '-1f' to each side of the equation.
aeorvx2P + f + -1f = -1cy2 + -1dx + -1ey + -1f

Combine like terms: f + -1f = 0
aeorvx2P + 0 = -1cy2 + -1dx + -1ey + -1f
aeorvx2P = -1cy2 + -1dx + -1ey + -1f

Divide each side by 'eorvx2P'.
a = -1ce-1o-1r-1v-1x-2y2P-1 + -1de-1o-1r-1v-1x-1P-1 + -1o-1r-1v-1x-2yP-1 + -1e-1fo-1r-1v-1x-2P-1

Simplifying
a = -1ce-1o-1r-1v-1x-2y2P-1 + -1de-1o-1r-1v-1x-1P-1 + -1o-1r-1v-1x-2yP-1 + -1e-1fo-1r-1v-1x-2P-1

Reorder the terms:
a = -1ce-1o-1r-1v-1x-2y2P-1 + -1de-1o-1r-1v-1x-1P-1 + -1e-1fo-1r-1v-1x-2P-1 + -1o-1r-1v-1x-2yP-1

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