forx^2+10x+4y^2-32y=-88

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Solution for forx^2+10x+4y^2-32y=-88 equation:


Simplifying
forx2 + 10x + 4y2 + -32y = -88

Reorder the terms:
forx2 + 10x + -32y + 4y2 = -88

Solving
forx2 + 10x + -32y + 4y2 = -88

Solving for variable 'f'.

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

Add '-10x' to each side of the equation.
forx2 + 10x + -32y + -10x + 4y2 = -88 + -10x

Reorder the terms:
forx2 + 10x + -10x + -32y + 4y2 = -88 + -10x

Combine like terms: 10x + -10x = 0
forx2 + 0 + -32y + 4y2 = -88 + -10x
forx2 + -32y + 4y2 = -88 + -10x

Add '32y' to each side of the equation.
forx2 + -32y + 32y + 4y2 = -88 + -10x + 32y

Combine like terms: -32y + 32y = 0
forx2 + 0 + 4y2 = -88 + -10x + 32y
forx2 + 4y2 = -88 + -10x + 32y

Add '-4y2' to each side of the equation.
forx2 + 4y2 + -4y2 = -88 + -10x + 32y + -4y2

Combine like terms: 4y2 + -4y2 = 0
forx2 + 0 = -88 + -10x + 32y + -4y2
forx2 = -88 + -10x + 32y + -4y2

Divide each side by 'orx2'.
f = -88o-1r-1x-2 + -10o-1r-1x-1 + 32o-1r-1x-2y + -4o-1r-1x-2y2

Simplifying
f = -88o-1r-1x-2 + -10o-1r-1x-1 + 32o-1r-1x-2y + -4o-1r-1x-2y2

Reorder the terms:
f = -88o-1r-1x-2 + 32o-1r-1x-2y + -4o-1r-1x-2y2 + -10o-1r-1x-1

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