6y(8y-4)+22=

Simple and best practice solution for 6y(8y-4)+22= 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 6y(8y-4)+22= equation: 


Simplifying
6y(8y + -4) + 22 = 0

Reorder the terms:
6y(-4 + 8y) + 22 = 0
(-4 * 6y + 8y * 6y) + 22 = 0
(-24y + 48y2) + 22 = 0

Reorder the terms:
22 + -24y + 48y2 = 0

Solving
22 + -24y + 48y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + -12y + 24y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + -12y + 24y2)' equal to zero and attempt to solve:

Simplifying
11 + -12y + 24y2 = 0

Solving
11 + -12y + 24y2 = 0

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

Divide each side by '24'.
0.4583333333 + -0.5y + y2 = 0

Move the constant term to the right:

Add '-0.4583333333' to each side of the equation.
0.4583333333 + -0.5y + -0.4583333333 + y2 = 0 + -0.4583333333

Reorder the terms:
0.4583333333 + -0.4583333333 + -0.5y + y2 = 0 + -0.4583333333

Combine like terms: 0.4583333333 + -0.4583333333 = 0.0000000000
0.0000000000 + -0.5y + y2 = 0 + -0.4583333333
-0.5y + y2 = 0 + -0.4583333333

Combine like terms: 0 + -0.4583333333 = -0.4583333333
-0.5y + y2 = -0.4583333333

The y term is -0.5y.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5y + 0.0625 + y2 = -0.4583333333 + 0.0625

Reorder the terms:
0.0625 + -0.5y + y2 = -0.4583333333 + 0.0625

Combine like terms: -0.4583333333 + 0.0625 = -0.3958333333
0.0625 + -0.5y + y2 = -0.3958333333

Factor a perfect square on the left side:
(y + -0.25)(y + -0.25) = -0.3958333333

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.

See similar equations:

| =7x^2-40x-63 | | 12x+5=7x+2 | | 3*x=4*6 | | =5x^2-16x-45 | | 4x+3=-1-3 | | 1.8*x=2.8 | | 8x-40=1x | | C=3b | | A=p+4b+c | | 2x-3=9-x+3 | | 45x^2-16807=0 | | 4w^2-30w-16=0 | | 100[0.05(m+6)]= | | 4(z-5)-2(3z+7)=3(-2z+9) | | 18x-x+5=10x+2x-10 | | logx(3x+10)=2 | | 17-3x+3=-2x-6x | | 12x/15-10/15=3x/2+1/2 | | -4(3n+3)=16 | | 3x+x+(x+5)=125 | | -8y-12=-4(y-1) | | 5p-8q+3p-2q= | | 5y=42 | | 7(v-9)=-5v-15 | | 16000=4x^3-240x^2+3600x | | -9x-18=9(x+8) | | -2x^2+43x-230=0 | | 360000=0.03*x | | 6+3lnx=2 | | 81x=4 | | 3(x-4)+6x=2x-6 | | 9k-4=6(9)+k |

Equations solver categories