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

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

Subproblem 3
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
Solution
x = {0, -1.666666667, 0.5}

See similar equations:

| 2d-1=-7 | | 6x^2+12x-8=10 | | 2w^2+1w-55=0 | | 10q+17=-13 | | 8c+6=39 | | 2n+-2=6 | | 2p+5=-5 | | 4x-4=7x | | 5-k=-7 | | Y=x^2-190x+9215 | | 2(n-2)*90=1440 | | -9000x^2+6750x+506.25=0 | | 3x+5y+4z=100 | | 8x+2=54x-27 | | ln(x)=5.75 | | 5f=9whatisf | | 3sqrt(4x+3)-2=7 | | 481-200x+12x^2=0 | | x^4+7x^3+14x^2+14x+4=0 | | 3x+2(x-7)= | | 4z(z-7)(z+8)=0 | | 5(y+2)=3(2y-3) | | 5(f-10)=-55 | | 5(2y+1)-3(y-3)=63 | | 22=3+40t-16t^2 | | 62-2x=5-2 | | 56b^4=16 | | 3(2y+3)+2(y+4)=25 | | 5t^2-73t+47=0 | | 5sinx+12cosx=0 | | 5sinx-12cosx=0 | | (x-4)(x-8)= |

Equations solver categories