3y^2+3y-72=0

Simple and best practice solution for 3y^2+3y-72=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 3y^2+3y-72=0 equation:


Simplifying
3y2 + 3y + -72 = 0

Reorder the terms:
-72 + 3y + 3y2 = 0

Solving
-72 + 3y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + y + y2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-24 + y + y2)' equal to zero and attempt to solve: Simplifying -24 + y + y2 = 0 Solving -24 + y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '24' to each side of the equation. -24 + y + 24 + y2 = 0 + 24 Reorder the terms: -24 + 24 + y + y2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + y + y2 = 0 + 24 y + y2 = 0 + 24 Combine like terms: 0 + 24 = 24 y + y2 = 24 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. y + 0.25 + y2 = 24 + 0.25 Reorder the terms: 0.25 + y + y2 = 24 + 0.25 Combine like terms: 24 + 0.25 = 24.25 0.25 + y + y2 = 24.25 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = 24.25 Calculate the square root of the right side: 4.924428901 Break this problem into two subproblems by setting (y + 0.5) equal to 4.924428901 and -4.924428901.

Subproblem 1

y + 0.5 = 4.924428901 Simplifying y + 0.5 = 4.924428901 Reorder the terms: 0.5 + y = 4.924428901 Solving 0.5 + y = 4.924428901 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = 4.924428901 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 4.924428901 + -0.5 y = 4.924428901 + -0.5 Combine like terms: 4.924428901 + -0.5 = 4.424428901 y = 4.424428901 Simplifying y = 4.424428901

Subproblem 2

y + 0.5 = -4.924428901 Simplifying y + 0.5 = -4.924428901 Reorder the terms: 0.5 + y = -4.924428901 Solving 0.5 + y = -4.924428901 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = -4.924428901 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = -4.924428901 + -0.5 y = -4.924428901 + -0.5 Combine like terms: -4.924428901 + -0.5 = -5.424428901 y = -5.424428901 Simplifying y = -5.424428901

Solution

The solution to the problem is based on the solutions from the subproblems. y = {4.424428901, -5.424428901}

Solution

y = {4.424428901, -5.424428901}

See similar equations:

| 4z-(4-z)-3=33 | | 3y+20=5y-6 | | h(-4)=5x-3 | | 0.6/10x2 | | 3p-7p=38 | | p=-0.5(30)+21 | | x^3-30x^2-4x+120= | | p+25=125 | | 5y+3x=20 | | 4(2-4p)=-p-7 | | 247=171-v | | -12=3-12k+3k | | 628.32=201.1+18.84x | | 5(x-3)-2(5x+4)=7(3x-2)+.5(4x+8)+43 | | 48.3=14.4+2l | | -5(3x-37)=2(x-4)-11 | | 8(v+4)-2v=3(2v+1)-9 | | 194=7+5x | | 3(x+10)=2(2x+16) | | 8x-2x+x=-4 | | 70+0.60x=370 | | -6=4(x+2)-6x | | 7*-2-1=3*-2-9 | | 6x+4x-2x=40 | | -9a+1=80 | | p=-0.6(30)+23 | | -28-2x=-3(1-x) | | 10/x(22.5) | | 2x^2+5x+36=0 | | 42+2x=7(-x+8)-59 | | 1755x+205=50 | | 1755x+50=205 |

Equations solver categories