9y^2+60y-96=0

Simple and best practice solution for 9y^2+60y-96=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 9y^2+60y-96=0 equation:


Simplifying
9y2 + 60y + -96 = 0

Reorder the terms:
-96 + 60y + 9y2 = 0

Solving
-96 + 60y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-32 + 20y + 3y2) = 0

Factor a trinomial.
3((-8 + -1y)(4 + -3y)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8

Subproblem 2

Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333

Solution

y = {-8, 1.333333333}

See similar equations:

| 5655k*676-78=2 | | -3(x-15)-30=42 | | 4y^2-9y=-5 | | 4x^2=-2x+12 | | 54x^2+107x-2=0 | | 8y*34=167 | | 3x^4+m^2x^2+2mx+12=0 | | 3x^4+m^2x^2+2px+12=0 | | X^2-22x=-105 | | 4(x-5)+7=Cost | | 30x^5y+42xy^6= | | 24x^2+47x-2=0 | | 6a^2+11a-10=0 | | 54x^2+161x-3=0 | | 4(2a-1)=-10 | | 3x^3-mx^2+7=0 | | 24x^2+71x-3=0 | | 5x^4-10x^2= | | 3x^2-15x+8=0 | | 6x^2-23x+7=0 | | 6b^2+13b-63=0 | | 3x^2-17x+7=2x+1 | | 6x^2+25x=119 | | 4(4x-2)+8=-8x+52 | | x^2+28x=0 | | 14x-12=18x-228 | | 3x^2-mx+7=0 | | 7-2x-1=8x | | a^2-9a+22=0 | | 3x-38=-5 | | 16-2n-5-8n=65 | | 4(6x+10)-24=6x-20 |

Equations solver categories