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

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


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

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

Multiply (4 + -3x) * (-5 + 2x)
x(4(-5 + 2x) + -3x * (-5 + 2x)) = 0
x((-5 * 4 + 2x * 4) + -3x * (-5 + 2x)) = 0
x((-20 + 8x) + -3x * (-5 + 2x)) = 0
x(-20 + 8x + (-5 * -3x + 2x * -3x)) = 0
x(-20 + 8x + (15x + -6x2)) = 0

Combine like terms: 8x + 15x = 23x
x(-20 + 23x + -6x2) = 0
(-20 * x + 23x * x + -6x2 * x) = 0
(-20x + 23x2 + -6x3) = 0

Solving
-20x + 23x2 + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + 23x + -6x2) = 0

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


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

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

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

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

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {0, 2.5, 1.333333333}

See similar equations:

| x^2-30-7x=0 | | -16+9x=-4+7x | | 6(c-1)c=4 | | -2x-2=3x-10 | | 2x^2+26=x^2+1 | | 2a/a-5-a/a+5=26/a^2-25 | | 2x-5=24 | | 7/6=x/38 | | 10=20-5x | | a=1/2(4)(12+32) | | x-(4-3x)(2x-5)=0 | | -X+2=2x-4 | | 5x+3+2x^2=0 | | (5h-5)(5h-6)= | | 5+31=12x-53 | | -3p^2+12p^2+135p=0 | | 3LM+6N=2Lnform | | 3LM+6N=2Ln | | 5(-6x+5)=145 | | 1/2x+8=88 | | 3(x-2)-2(5-3x)=7x-4 | | -6(1+7k)+7+(1+6k)=-2 | | X/4-138=89 | | 193-4x=41x+18 | | -7(2b+3)+(15b-8)=0 | | p=3b-4 | | (4y+5)-(4+3y)=5 | | 9x+4=x-20 | | a/-8-7=-8 | | x^2+3.5x=135 | | y=-2x+7x^2 | | 3x+36=11x-60 |

Equations solver categories