19y^2=3y-14y^3

Simple and best practice solution for 19y^2=3y-14y^3 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 19y^2=3y-14y^3 equation:


Simplifying
19y2 = 3y + -14y3

Solving
19y2 = 3y + -14y3

Solving for variable 'y'.

Reorder the terms:
-3y + 19y2 + 14y3 = 3y + -14y3 + -3y + 14y3

Reorder the terms:
-3y + 19y2 + 14y3 = 3y + -3y + -14y3 + 14y3

Combine like terms: 3y + -3y = 0
-3y + 19y2 + 14y3 = 0 + -14y3 + 14y3
-3y + 19y2 + 14y3 = -14y3 + 14y3

Combine like terms: -14y3 + 14y3 = 0
-3y + 19y2 + 14y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-3 + 19y + 14y2) = 0

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

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 '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5

Subproblem 3

Set the factor '(1 + -7y)' equal to zero and attempt to solve: Simplifying 1 + -7y = 0 Solving 1 + -7y = 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 + -7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7y = 0 + -1 -7y = 0 + -1 Combine like terms: 0 + -1 = -1 -7y = -1 Divide each side by '-7'. y = 0.1428571429 Simplifying y = 0.1428571429

Solution

y = {0, -1.5, 0.1428571429}

See similar equations:

| g(2g+3)-g(g+3)= | | -0.10(58)+0.45x=0.5(x-4) | | 3x-4=-15 | | 45z+100=10 | | ln(x)+ln(x+8)=1 | | 2x^3=2x(7x-12) | | 3x-4=21 | | 5z+7z=22 | | 6x^2-18x-18=6 | | 3(2y-4)= | | 5x+4y=1 | | 8x+8ab=9x-9ab | | 16x^3-9x=0 | | 18xy-24x^2=0 | | 2m-4=-1 | | 40+9x-2=20x+5 | | 48r^3-30r^2=0 | | 13.9=2.5 | | A+A-30+3A=170 | | 15x+5+22x+4=120 | | x=-5+-2y | | 7-4x+2x=9+3x+8 | | (y-7)-(y+3)=9y | | -14x-20=-12x+110 | | x=-2y-5 | | 5-6x=-31 | | 9(x-1)+6=5x+4(-2+x) | | 46+-1+8x=18x+5 | | 4z+6=7 | | 36+x=2(13+x) | | 7x^2+26x-45=0 | | 83-2x=34x+15 |

Equations solver categories