(2y+6)(6y-10)=0

Simple and best practice solution for (2y+6)(6y-10)=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 (2y+6)(6y-10)=0 equation: 


Simplifying
(2y + 6)(6y + -10) = 0

Reorder the terms:
(6 + 2y)(6y + -10) = 0

Reorder the terms:
(6 + 2y)(-10 + 6y) = 0

Multiply (6 + 2y) * (-10 + 6y)
(6(-10 + 6y) + 2y * (-10 + 6y)) = 0
((-10 * 6 + 6y * 6) + 2y * (-10 + 6y)) = 0
((-60 + 36y) + 2y * (-10 + 6y)) = 0
(-60 + 36y + (-10 * 2y + 6y * 2y)) = 0
(-60 + 36y + (-20y + 12y2)) = 0

Combine like terms: 36y + -20y = 16y
(-60 + 16y + 12y2) = 0

Solving
-60 + 16y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 4y + 3y2) = 0

Factor a trinomial.
4((-3 + -1y)(5 + -3y)) = 0

Ignore the factor 4.

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

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = -3

Simplifying
y = -3

Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve:

Simplifying
5 + -3y = 0

Solving
5 + -3y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = 0 + -5
-3y = 0 + -5

Combine like terms: 0 + -5 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667
Solution
y = {-3, 1.666666667}

See similar equations:

| x+4=[x-2] | | -4x+2(3x+2)=28 | | (3x+6)=13 | | 5-2(x-1)=3-x | | h^2-17h=-72 | | 3x+-2=x+4 | | 10a^2+61a+72=0 | | 7(9y+12)+4y=-27 | | (5z-2)(6z-7)=0 | | -38=5x+7(-x+-2) | | 8x+5y=-8 | | 11.5+-3y=-48.5 | | x^4=1.16 | | 8b^2-8b-14=0 | | (d/3.2)=3.75 | | 24=6+6t | | 8(3-x)+2(x+1)=-10 | | h+9=2h-1 | | 3x+6=24+2x+18 | | 11z=21z+22z | | 6=2(w-3)-8w | | x-10=2756 | | -2(-11-7y)-5y=4 | | T=2[3t-(4+3t)] | | b^2-15b+56=0 | | 2x+4=-2+x | | :-0.25(3-x)=0.375 | | x^2-12x+15= | | 2x-2x=-18 | | (8n+1)=0 | | X=-10+9x | | T=[3t-(4+3t)] |

Equations solver categories