10x-y^2+6y+1=0

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Solution for 10x-y^2+6y+1=0 equation:


Simplifying
10x + -1y2 + 6y + 1 = 0

Reorder the terms:
1 + 10x + 6y + -1y2 = 0

Solving
1 + 10x + 6y + -1y2 = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + 10x + 6y + -1 + -1y2 = 0 + -1

Reorder the terms:
1 + -1 + 10x + 6y + -1y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10x + 6y + -1y2 = 0 + -1
10x + 6y + -1y2 = 0 + -1

Combine like terms: 0 + -1 = -1
10x + 6y + -1y2 = -1

Add '-6y' to each side of the equation.
10x + 6y + -6y + -1y2 = -1 + -6y

Combine like terms: 6y + -6y = 0
10x + 0 + -1y2 = -1 + -6y
10x + -1y2 = -1 + -6y

Add 'y2' to each side of the equation.
10x + -1y2 + y2 = -1 + -6y + y2

Combine like terms: -1y2 + y2 = 0
10x + 0 = -1 + -6y + y2
10x = -1 + -6y + y2

Divide each side by '10'.
x = -0.1 + -0.6y + 0.1y2

Simplifying
x = -0.1 + -0.6y + 0.1y2

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