8y^2+24y-80=0

Simple and best practice solution for 8y^2+24y-80=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 8y^2+24y-80=0 equation:


Simplifying
8y2 + 24y + -80 = 0

Reorder the terms:
-80 + 24y + 8y2 = 0

Solving
-80 + 24y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-10 + 3y + y2) = 0

Factor a trinomial.
8((-5 + -1y)(2 + -1y)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 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 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {-5, 2}

See similar equations:

| 14/11= | | -2.3-4.2r=-37.58 | | 4x^2-42x+45=0 | | 5=-5(-29)+4 | | 6(z-7)=3 | | -8x+14=-2[4x-7] | | 7z=-35 | | -0.75(z+0.17)=0.2(z-0.375) | | 8a-9a=7a-6 | | 2x-3x=-4 | | 2=-5(14)+4 | | 5.3-2.1x=-8.14 | | 4.1m-8.6=2.47 | | -56=6(p+4)-4(1-8p) | | 2(1+2x)=3(x-3) | | 7x+3y=11x-5y | | -0.03-0.9w=2.4 | | 5-c=8 | | 1/3(y+2)=3y-5(y-2) | | 0.05x+0.037=0.262 | | 6x-(3x-4)=14 | | -2z=18 | | 0.3x+0.4+x=2x-10 | | 1.7w-0.44=5 | | 2t-t=22-t | | 9+4n-1=9n+9-4n | | -0.24y+0.14=3.2 | | -5(n-4)-6(8n-5)=-3 | | 2x-60=4x-70 | | 0.1x=0.3x-7 | | -3x+6=-5x-6 | | 3x-4=-2x^2+x+1 |

Equations solver categories