(5y+3)(2y+7)=11y-10

Solution for (5y+3)(2y+7)=11y-10 equation:

Simplifying
(5y + 3)(2y + 7) = 11y + -10

Reorder the terms:
(3 + 5y)(2y + 7) = 11y + -10

Reorder the terms:
(3 + 5y)(7 + 2y) = 11y + -10

Multiply (3 + 5y) * (7 + 2y)
(3(7 + 2y) + 5y * (7 + 2y)) = 11y + -10
((7 * 3 + 2y * 3) + 5y * (7 + 2y)) = 11y + -10
((21 + 6y) + 5y * (7 + 2y)) = 11y + -10
(21 + 6y + (7 * 5y + 2y * 5y)) = 11y + -10
(21 + 6y + (35y + 10y2)) = 11y + -10

Combine like terms: 6y + 35y = 41y
(21 + 41y + 10y2) = 11y + -10

Reorder the terms:
21 + 41y + 10y2 = -10 + 11y

Solving
21 + 41y + 10y2 = -10 + 11y

Solving for variable 'y'.

Reorder the terms:
21 + 10 + 41y + -11y + 10y2 = -10 + 11y + 10 + -11y

Combine like terms: 21 + 10 = 31
31 + 41y + -11y + 10y2 = -10 + 11y + 10 + -11y

Combine like terms: 41y + -11y = 30y
31 + 30y + 10y2 = -10 + 11y + 10 + -11y

Reorder the terms:
31 + 30y + 10y2 = -10 + 10 + 11y + -11y

Combine like terms: -10 + 10 = 0
31 + 30y + 10y2 = 0 + 11y + -11y
31 + 30y + 10y2 = 11y + -11y

Combine like terms: 11y + -11y = 0
31 + 30y + 10y2 = 0

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

Divide each side by '10'.
3.1 + 3y + y2 = 0.0

Move the constant term to the right:

Add '-3.1' to each side of the equation.
3.1 + 3y + -3.1 + y2 = 0.0 + -3.1

Reorder the terms:
3.1 + -3.1 + 3y + y2 = 0.0 + -3.1

Combine like terms: 3.1 + -3.1 = 0.0
0.0 + 3y + y2 = 0.0 + -3.1
3y + y2 = 0.0 + -3.1

Combine like terms: 0.0 + -3.1 = -3.1
3y + y2 = -3.1

The y term is 3y.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3y + 2.25 + y2 = -3.1 + 2.25

Reorder the terms:
2.25 + 3y + y2 = -3.1 + 2.25

Combine like terms: -3.1 + 2.25 = -0.85
2.25 + 3y + y2 = -0.85

Factor a perfect square on the left side:
(y + 1.5)(y + 1.5) = -0.85

Can't calculate square root of the right side.

The solution to this equation could not be determined.