9y^2(12y+7)(4y-3)=0

Simple and best practice solution for 9y^2(12y+7)(4y-3)=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(12y+7)(4y-3)=0 equation: 


Simplifying
9y2(12y + 7)(4y + -3) = 0

Reorder the terms:
9y2(7 + 12y)(4y + -3) = 0

Reorder the terms:
9y2(7 + 12y)(-3 + 4y) = 0

Multiply (7 + 12y) * (-3 + 4y)
9y2(7(-3 + 4y) + 12y * (-3 + 4y)) = 0
9y2((-3 * 7 + 4y * 7) + 12y * (-3 + 4y)) = 0
9y2((-21 + 28y) + 12y * (-3 + 4y)) = 0
9y2(-21 + 28y + (-3 * 12y + 4y * 12y)) = 0
9y2(-21 + 28y + (-36y + 48y2)) = 0

Combine like terms: 28y + -36y = -8y
9y2(-21 + -8y + 48y2) = 0
(-21 * 9y2 + -8y * 9y2 + 48y2 * 9y2) = 0
(-189y2 + -72y3 + 432y4) = 0

Solving
-189y2 + -72y3 + 432y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '9y2'.
9y2(-21 + -8y + 48y2) = 0

Factor a trinomial.
9y2((-7 + -12y)(3 + -4y)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}

Subproblem 2
Set the factor '(-7 + -12y)' equal to zero and attempt to solve:

Simplifying
-7 + -12y = 0

Solving
-7 + -12y = 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 + -12y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -12y = 0 + 7
-12y = 0 + 7

Combine like terms: 0 + 7 = 7
-12y = 7

Divide each side by '-12'.
y = -0.5833333333

Simplifying
y = -0.5833333333

Subproblem 3
Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 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 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75
Solution
y = {0, -0.5833333333, 0.75}

See similar equations:

| 3(2x-1)(x-5)=0 | | 192/50= | | 9(-2)x+(2)=19(-13)x+(17) | | 5(-8)x+(-1)=20 | | (.960)x(200)/50= | | 4y-2(4)-3y+12=0 | | (.960)(200)/50= | | y^3+64= | | x^3+8= | | -3b=12-3a | | 9x^2-24x+16= | | 4x+5-7x=2(3x-6)-1 | | xy-2x-3y+12=0 | | 6(3x-1)=24 | | -8X^2+7X=0 | | 2x^2+9x-24=0 | | y=x^2+6x+9 | | 2x+6y+9x= | | 5x-4(2x+3)=2x-17 | | 50w^2+140w+98=0 | | -2x-17+3x=-5 | | y-4y=1 | | -6=4-2 | | h^2-4h-21=0 | | x^2=3x+2 | | s=2h+2u | | 6(x-5)=3x-5 | | 3(x-4)=2(x-4) | | (x+3)(x+2)= | | 3x-3=3x-6 | | 2x+x-4=2x-4-2 | | 2x+x-4=2x-6 |

Equations solver categories