2y(7y+2)(8y+7)=0

Simple and best practice solution for 2y(7y+2)(8y+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 2y(7y+2)(8y+7)=0 equation: 


Simplifying
2y(7y + 2)(8y + 7) = 0

Reorder the terms:
2y(2 + 7y)(8y + 7) = 0

Reorder the terms:
2y(2 + 7y)(7 + 8y) = 0

Multiply (2 + 7y) * (7 + 8y)
2y(2(7 + 8y) + 7y * (7 + 8y)) = 0
2y((7 * 2 + 8y * 2) + 7y * (7 + 8y)) = 0
2y((14 + 16y) + 7y * (7 + 8y)) = 0
2y(14 + 16y + (7 * 7y + 8y * 7y)) = 0
2y(14 + 16y + (49y + 56y2)) = 0

Combine like terms: 16y + 49y = 65y
2y(14 + 65y + 56y2) = 0
(14 * 2y + 65y * 2y + 56y2 * 2y) = 0
(28y + 130y2 + 112y3) = 0

Solving
28y + 130y2 + 112y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(14 + 65y + 56y2) = 0

Factor a trinomial.
2y((7 + 8y)(2 + 7y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(7 + 8y)' equal to zero and attempt to solve:

Simplifying
7 + 8y = 0

Solving
7 + 8y = 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 + 8y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8y = 0 + -7
8y = 0 + -7

Combine like terms: 0 + -7 = -7
8y = -7

Divide each side by '8'.
y = -0.875

Simplifying
y = -0.875

Subproblem 3
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
Solution
y = {0, -0.875, -0.2857142857}

See similar equations:

| 5(p-7)-15=3p+12 | | 65=17-14b-4b | | 4n+40=129 | | 9(2x-9)=3(6x+6) | | .5(y-10)+y=10 | | -4(4y+2)= | | x-0.30x=98 | | 3(2x-10)=6(x-5) | | 2(9s+3)=6(3s+1) | | -5b=35 | | 25p^2-30p+9=0 | | (4+n)+p=20 | | 3(2x+3)= | | (6)-(-6)= | | 5x+w=27 | | 7x-2=4x+9 | | 0.8x=32 | | 36=-1.333333(5m+12) | | -t=100 | | 14x-3-6x+2= | | 20-5x+x^2-4+x^2+5x+2x+80=360 | | -k^3+6k^3= | | 4A-3=-2A+3 | | 4x+5=12x | | 6n+2=2n-8 | | 3G-9= | | 6x+1=3x-11 | | -15=1.4(4z-1) | | 2(r+5)=22r | | 3x+y=70 | | 30=3c+2(3c-3) | | x+8=-3x |

Equations solver categories