y^2+10y+70=0

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Solution for y^2+10y+70=0 equation:


Simplifying
y2 + 10y + 70 = 0

Reorder the terms:
70 + 10y + y2 = 0

Solving
70 + 10y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-70' to each side of the equation.
70 + 10y + -70 + y2 = 0 + -70

Reorder the terms:
70 + -70 + 10y + y2 = 0 + -70

Combine like terms: 70 + -70 = 0
0 + 10y + y2 = 0 + -70
10y + y2 = 0 + -70

Combine like terms: 0 + -70 = -70
10y + y2 = -70

The y term is 10y.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10y + 25 + y2 = -70 + 25

Reorder the terms:
25 + 10y + y2 = -70 + 25

Combine like terms: -70 + 25 = -45
25 + 10y + y2 = -45

Factor a perfect square on the left side:
(y + 5)(y + 5) = -45

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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