4x(3x-9)(5x-8)=0

Simple and best practice solution for 4x(3x-9)(5x-8)=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 4x(3x-9)(5x-8)=0 equation: 


Simplifying
4x(3x + -9)(5x + -8) = 0

Reorder the terms:
4x(-9 + 3x)(5x + -8) = 0

Reorder the terms:
4x(-9 + 3x)(-8 + 5x) = 0

Multiply (-9 + 3x) * (-8 + 5x)
4x(-9(-8 + 5x) + 3x * (-8 + 5x)) = 0
4x((-8 * -9 + 5x * -9) + 3x * (-8 + 5x)) = 0
4x((72 + -45x) + 3x * (-8 + 5x)) = 0
4x(72 + -45x + (-8 * 3x + 5x * 3x)) = 0
4x(72 + -45x + (-24x + 15x2)) = 0

Combine like terms: -45x + -24x = -69x
4x(72 + -69x + 15x2) = 0
(72 * 4x + -69x * 4x + 15x2 * 4x) = 0
(288x + -276x2 + 60x3) = 0

Solving
288x + -276x2 + 60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(24 + -23x + 5x2) = 0

Factor a trinomial.
12x((8 + -5x)(3 + -1x)) = 0

Ignore the factor 12.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, 1.6, 3}

See similar equations:

| 9=2x-1-7x | | x=4(-x-2) | | 7y+5=3y+11.5 | | 2(4z-1)-2(z+9)=8(z+1) | | -16t^2+40t=0 | | 4m+37=9m-3 | | 2x+6=(5x*2)/4 | | 2(90-x)+3(180-x)=580+2x | | -.667(6x-27)=-4 | | 5c-8=2c+7 | | x+1+5=x+10 | | 4x-2=-3n+4 | | 8y=4y-2+14 | | -34=-8x+16-6x | | x^2+112=0 | | P=mb+qr | | 6n+12= | | .6w=16 | | 2(5-x)-(-2)(x-3)=-(3x-4) | | -5-3w=7 | | 2y-5(6y-12)=11 | | 4x-1=y | | 7(x-4)=6(x+3) | | 8h^2+8=6-9h | | 4y-14=28 | | x+5(3x-17)=11 | | -0.4w=4.2 | | p-3(p-4)=2+(2p+5) | | 10+.33y=1 | | 511.21-(-202.91)= | | 4.4x+51.7=25.1-8.9x | | 7y+8=4+7y |

Equations solver categories