4y^2-16y-12=0

Simple and best practice solution for 4y^2-16y-12=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4y^2-16y-12=0 equation: 


Simplifying
4y2 + -16y + -12 = 0

Reorder the terms:
-12 + -16y + 4y2 = 0

Solving
-12 + -16y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + -4y + y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + -4y + y2)' equal to zero and attempt to solve:

Simplifying
-3 + -4y + y2 = 0

Solving
-3 + -4y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + -4y + 3 + y2 = 0 + 3

Reorder the terms:
-3 + 3 + -4y + y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4y + y2 = 0 + 3
-4y + y2 = 0 + 3

Combine like terms: 0 + 3 = 3
-4y + y2 = 3

The y term is -4y.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4y + 4 + y2 = 3 + 4

Reorder the terms:
4 + -4y + y2 = 3 + 4

Combine like terms: 3 + 4 = 7
4 + -4y + y2 = 7

Factor a perfect square on the left side:
(y + -2)(y + -2) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(y + -2) equal to 2.645751311 and -2.645751311.


Subproblem 1
y + -2 = 2.645751311

Simplifying
y + -2 = 2.645751311

Reorder the terms:
-2 + y = 2.645751311

Solving
-2 + y = 2.645751311

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + y = 2.645751311 + 2

Combine like terms: -2 + 2 = 0
0 + y = 2.645751311 + 2
y = 2.645751311 + 2

Combine like terms: 2.645751311 + 2 = 4.645751311
y = 4.645751311

Simplifying
y = 4.645751311


Subproblem 2
y + -2 = -2.645751311

Simplifying
y + -2 = -2.645751311

Reorder the terms:
-2 + y = -2.645751311

Solving
-2 + y = -2.645751311

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + y = -2.645751311 + 2

Combine like terms: -2 + 2 = 0
0 + y = -2.645751311 + 2
y = -2.645751311 + 2

Combine like terms: -2.645751311 + 2 = -0.645751311
y = -0.645751311

Simplifying
y = -0.645751311


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {4.645751311, -0.645751311}
Solution
y = {4.645751311, -0.645751311}

See similar equations:

| -5x+12+8x=19 | | 13.5=1.4x | | 13.5=14.1x | | (p-8)(4p-7)=0 | | 11x-5+3x=21 | | 3v^2-36v+108=0 | | -5q+10+8q=40 | | 5x-11+19=5 | | 5ln(x+2)-8lnx= | | 2(x+6)+3=26 | | 5[1-x]+3=-2x+3 | | 10-5(q+5)=-25 | | 1x+33x^2-14=0 | | (13x-8)+(15-7x)=2(x+1) | | 6p+2=20 | | (3x+4)*(4x-5)= | | 46=3.14x | | 17x=0.3x | | 5x+2+3x=9x+3-x | | 8=0.5(2)x | | 6z=7z+1 | | 4(2z-4)=7(z+b) | | 13-(3x+12)=5x+(21-4x) | | 4(2z-4)=7(z+5) | | 2f+3b=7b+12 | | -3.(x-1)+1=-4.(3x-2)-1 | | 34+1=76 | | y+6=2x+5 | | 46=XP | | 10(x+80)=1100 | | 3=0.5(x) | | 3=0.5(x)3 |

Equations solver categories