3(7y+2)(y-10)=0

Simple and best practice solution for 3(7y+2)(y-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 3(7y+2)(y-10)=0 equation: 


Simplifying
3(7y + 2)(y + -10) = 0

Reorder the terms:
3(2 + 7y)(y + -10) = 0

Reorder the terms:
3(2 + 7y)(-10 + y) = 0

Multiply (2 + 7y) * (-10 + y)
3(2(-10 + y) + 7y * (-10 + y)) = 0
3((-10 * 2 + y * 2) + 7y * (-10 + y)) = 0
3((-20 + 2y) + 7y * (-10 + y)) = 0
3(-20 + 2y + (-10 * 7y + y * 7y)) = 0
3(-20 + 2y + (-70y + 7y2)) = 0

Combine like terms: 2y + -70y = -68y
3(-20 + -68y + 7y2) = 0
(-20 * 3 + -68y * 3 + 7y2 * 3) = 0
(-60 + -204y + 21y2) = 0

Solving
-60 + -204y + 21y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + -68y + 7y2) = 0

Factor a trinomial.
3((-2 + -7y)(10 + -1y)) = 0

Ignore the factor 3.

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

Simplifying
-2 + -7y = 0

Solving
-2 + -7y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7y = 0 + 2
-7y = 0 + 2

Combine like terms: 0 + 2 = 2
-7y = 2

Divide each side by '-7'.
y = -0.2857142857

Simplifying
y = -0.2857142857

Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10
Solution
y = {-0.2857142857, 10}

See similar equations:

| -8a^2-26a+280=0 | | x=5000000 | | 11x-15=4x+20 | | 28-x+x=7 | | 50x^3-45x^2-35x=0 | | 81n^2=64 | | 6v+2v=-8+6v | | 1.6=500000 | | -14d=84 | | 32+7t=(t+4) | | 4m+-4=4m | | .5(2x-1)=8 | | -9(-4-6m)+3= | | x+y+z=12 | | 5x+5=30-5x | | 32+7t=t+4 | | 8r^3+84r^2+196r=0 | | 4x^2-36x+7=0 | | 3x^2+23xy+14y^2=0 | | -3(4k-1)=51 | | y=2[x-(5-x)]-3(x-1) | | 8(x+2)-2(2x+5)=2(x-3)-9-5x | | 0.25(p-7)=0.16(p-3) | | 2xn+20=52 | | 5m^2+31m-72=0 | | 5X^3-41x^2+43x-7=0 | | 5-(3x+7)=14-5x | | 25+0.25r=45+0.35r | | -19n+6=-18n-11 | | 5(g+(-2))+g=6(g+4) | | -3(5s-2)-6=-2(9s+6)-3 | | 37x+8.50+14.99=242.49 |

Equations solver categories