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

Simple and best practice solution for 4(y-6)(-y+8)=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 4(y-6)(-y+8)=0 equation: 


Simplifying
4(y + -6)(-1y + 8) = 0

Reorder the terms:
4(-6 + y)(-1y + 8) = 0

Reorder the terms:
4(-6 + y)(8 + -1y) = 0

Multiply (-6 + y) * (8 + -1y)
4(-6(8 + -1y) + y(8 + -1y)) = 0
4((8 * -6 + -1y * -6) + y(8 + -1y)) = 0
4((-48 + 6y) + y(8 + -1y)) = 0
4(-48 + 6y + (8 * y + -1y * y)) = 0
4(-48 + 6y + (8y + -1y2)) = 0

Combine like terms: 6y + 8y = 14y
4(-48 + 14y + -1y2) = 0
(-48 * 4 + 14y * 4 + -1y2 * 4) = 0
(-192 + 56y + -4y2) = 0

Solving
-192 + 56y + -4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-48 + 14y + -1y2) = 0

Factor a trinomial.
4((-8 + y)(6 + -1y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve:

Simplifying
-8 + y = 0

Solving
-8 + y = 0

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

Add '8' to each side of the equation.
-8 + 8 + y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + y = 0 + 8
y = 0 + 8

Combine like terms: 0 + 8 = 8
y = 8

Simplifying
y = 8

Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {8, 6}

See similar equations:

| (9+w)(5w-4)=0 | | -3*-8= | | -20*-1= | | 20*-1= | | -143=-11 | | 18x^2-13x=0 | | 10x=7.5 | | x(4x-7)(x+3)= | | 2x+3y+6z-37=35x | | -4+36= | | -6+-12= | | -12+-6= | | -12+-6+-6= | | -18+1= | | -b+2=-5 | | 1.3x=9 | | -1*6t= | | -t*4t= | | 1.3x=4.5 | | -t*6t= | | -b+2=5 | | 5(3-6x)=7-2(1-4x) | | Y=-2x+18 | | 10=5m+2 | | -15+4= | | z^2+2z-26=0 | | 2X^2+6x+8=0 | | -3*5= | | 5y=11-3x | | 3x-5y=11 | | 20-r=42 | | 12t-32=64 |

Equations solver categories