7y-10y^2=5

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Solution for 7y-10y^2=5 equation:


Simplifying
7y + -10y2 = 5

Solving
7y + -10y2 = 5

Solving for variable 'y'.

Reorder the terms:
-5 + 7y + -10y2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 7y + -10y2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.5 + -0.7y + y2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.7y + -0.5 + y2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.7y + y2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.7y + y2 = 0 + -0.5
-0.7y + y2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.7y + y2 = -0.5

The y term is -0.7y.  Take half its coefficient (-0.35).
Square it (0.1225) and add it to both sides.

Add '0.1225' to each side of the equation.
-0.7y + 0.1225 + y2 = -0.5 + 0.1225

Reorder the terms:
0.1225 + -0.7y + y2 = -0.5 + 0.1225

Combine like terms: -0.5 + 0.1225 = -0.3775
0.1225 + -0.7y + y2 = -0.3775

Factor a perfect square on the left side:
(y + -0.35)(y + -0.35) = -0.3775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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