(3y-1)(y-7)=0

Simple and best practice solution for (3y-1)(y-7)=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 (3y-1)(y-7)=0 equation: 


Simplifying
(3y + -1)(y + -7) = 0

Reorder the terms:
(-1 + 3y)(y + -7) = 0

Reorder the terms:
(-1 + 3y)(-7 + y) = 0

Multiply (-1 + 3y) * (-7 + y)
(-1(-7 + y) + 3y * (-7 + y)) = 0
((-7 * -1 + y * -1) + 3y * (-7 + y)) = 0
((7 + -1y) + 3y * (-7 + y)) = 0
(7 + -1y + (-7 * 3y + y * 3y)) = 0
(7 + -1y + (-21y + 3y2)) = 0

Combine like terms: -1y + -21y = -22y
(7 + -22y + 3y2) = 0

Solving
7 + -22y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -3y)(7 + -1y) = 0


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

Simplifying
1 + -3y = 0

Solving
1 + -3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {0.3333333333, 7}

See similar equations:

| 4(3x-5)=-6+10x | | 25+4n=75 | | (6+x)+x=42 | | -265/-5= | | 1/2m=-35 | | 3=18 | | 4x+9+18= | | 3/3=18 | | 2+1n=-21 | | P/9+9=8 | | 2x-6=2(x-8)+10 | | 3+10n=17 | | -10+K/14=-9 | | 11x-6=10x | | x+4=64 | | 1/9y=-2 | | 3a+4=2(a-5)+15 | | -50-2x=-0 | | 1/5x=11 | | 3x+7=67 | | 5/8+1/4+2/3+M+N=3 | | 7+3x=67 | | 5y+4y=7 | | 9n-3=14 | | 0.5(2m-3)-0.8=2.7 | | 1/8x=4 | | 0.4(2x-3)=0.2 | | 5y+4wheny=7 | | 12y^2+9y+8y+6=0 | | 6-7n=-20 | | 135+x+x+55=180 | | 7y-3=4y-15 |

Equations solver categories