4x(5x-2)(3x-8)=0

Simple and best practice solution for 4x(5x-2)(3x-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(5x-2)(3x-8)=0 equation: 


Simplifying
4x(5x + -2)(3x + -8) = 0

Reorder the terms:
4x(-2 + 5x)(3x + -8) = 0

Reorder the terms:
4x(-2 + 5x)(-8 + 3x) = 0

Multiply (-2 + 5x) * (-8 + 3x)
4x(-2(-8 + 3x) + 5x * (-8 + 3x)) = 0
4x((-8 * -2 + 3x * -2) + 5x * (-8 + 3x)) = 0
4x((16 + -6x) + 5x * (-8 + 3x)) = 0
4x(16 + -6x + (-8 * 5x + 3x * 5x)) = 0
4x(16 + -6x + (-40x + 15x2)) = 0

Combine like terms: -6x + -40x = -46x
4x(16 + -46x + 15x2) = 0
(16 * 4x + -46x * 4x + 15x2 * 4x) = 0
(64x + -184x2 + 60x3) = 0

Solving
64x + -184x2 + 60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(16 + -46x + 15x2) = 0

Factor a trinomial.
4x((2 + -5x)(8 + -3x)) = 0

Ignore the factor 4.

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 '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

Subproblem 3
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {0, 0.4, 2.666666667}

See similar equations:

| 3.27x+26.16=52.32 | | 3(p+2)=30 | | 10c+5=45 | | 3.52x+9=12.3904+3x | | w^2+12w+81=0 | | 35x-5y=7.7 | | |x-5|=3 | | 3x^2-5x+12x-20=0 | | -5y+8=8-5y-12 | | 15=3u | | x^3-5x+9x-45=0 | | 2z-4z=4 | | 11q+5=49 | | 2=2x+b | | -10y=-8x+14 | | 111111122222333366655444778*1212121212121212=9999999999999999999999999992 | | 543216845614845614564654d*54151561231651325445123141234=97812348521951215132156 | | 3(a-5)=40.8 | | X^2+32x+33=0 | | -3b-15=-24 | | 4=-p+2p | | 4=2c-9 | | 5e-7=21.5 | | 10x-6x=4 | | 30-.19m=26.58 | | 1x+6y=22 | | 11x-4=6x+11 | | 6t=1500 | | 3x-4(x^2-6x-7)=6(x-7) | | 0=x^3+x^2-2x | | 6x^7-5x^5+16x^4= | | 3x(4x+12x)=12x+36x |

Equations solver categories