x(2x+1)(3x-5)=0

Simple and best practice solution for x(2x+1)(3x-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(2x+1)(3x-5)=0 equation:


Simplifying
x(2x + 1)(3x + -5) = 0

Reorder the terms:
x(1 + 2x)(3x + -5) = 0

Reorder the terms:
x(1 + 2x)(-5 + 3x) = 0

Multiply (1 + 2x) * (-5 + 3x)
x(1(-5 + 3x) + 2x * (-5 + 3x)) = 0
x((-5 * 1 + 3x * 1) + 2x * (-5 + 3x)) = 0
x((-5 + 3x) + 2x * (-5 + 3x)) = 0
x(-5 + 3x + (-5 * 2x + 3x * 2x)) = 0
x(-5 + 3x + (-10x + 6x2)) = 0

Combine like terms: 3x + -10x = -7x
x(-5 + -7x + 6x2) = 0
(-5 * x + -7x * x + 6x2 * x) = 0
(-5x + -7x2 + 6x3) = 0

Solving
-5x + -7x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + -7x + 6x2) = 0

Factor a trinomial.
x((-1 + -2x)(5 + -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 '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 3

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {0, -0.5, 1.666666667}

See similar equations:

| 5x+3=18x | | 1+2n=-15 | | 5=-1+3x | | 8x^3+7x^2+6x+9=0 | | 4k+2=-10 | | 2p-5=4p-23 | | x*(x^2-1)=0 | | 3+4(4n+6)-n= | | 94-85=32y-35y | | -2(-4x-3)=-1(-x-1) | | x*x*x*x*y*y= | | 2x+3y=9 | | -6(5-2x)=8 | | -47+8y+3=3(4y-4)-8 | | 2*ln*x+ln*(x+1)=ln*6*x | | 2y-3x=19 | | 8-(4x-5)=x-7 | | x*x+5= | | 28.8+6x=32.4+5.4x | | 49.6+6x=54+5.4x | | 71.4+6x=75.6+5.4x | | 46.6+6x=48.6+5.4x | | 8x-5-2x+1=5x-1 | | 61-5x=4x+23 | | 23-a+36=53 | | -4+16=5b-2-4b | | 8a-8=56 | | y=2x^2+14x+20 | | -(4y+1)-(-3y-7)=-1 | | 8(3a*a*b*c)= | | -(4y+1)-(-3y-7)=1 | | 6(b+3)= |

Equations solver categories