4y^2-15y=-11y-4

Solution for 4y^2-15y=-11y-4 equation:

Simplifying
4y2 + -15y = -11y + -4

Reorder the terms:
-15y + 4y2 = -11y + -4

Reorder the terms:
-15y + 4y2 = -4 + -11y

Solving
-15y + 4y2 = -4 + -11y

Solving for variable 'y'.

Reorder the terms:
4 + -15y + 11y + 4y2 = -4 + -11y + 4 + 11y

Combine like terms: -15y + 11y = -4y
4 + -4y + 4y2 = -4 + -11y + 4 + 11y

Reorder the terms:
4 + -4y + 4y2 = -4 + 4 + -11y + 11y

Combine like terms: -4 + 4 = 0
4 + -4y + 4y2 = 0 + -11y + 11y
4 + -4y + 4y2 = -11y + 11y

Combine like terms: -11y + 11y = 0
4 + -4y + 4y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -1y + y2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -1y + y2)' equal to zero and attempt to solve:

Simplifying
1 + -1y + y2 = 0

Solving
1 + -1y + y2 = 0

Begin completing the square.

Move the constant term to the right:

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

Reorder the terms:
1 + -1 + -1y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y + y2 = 0 + -1
-1y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1y + y2 = -1

The y term is -1y.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = -1 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1y + y2 = -0.75

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.