4x(2x-1)(3x+5)=0

Simple and best practice solution for 4x(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 4x(2x-1)(3x+5)=0 equation: 


Simplifying
4x(2x + -1)(3x + 5) = 0

Reorder the terms:
4x(-1 + 2x)(3x + 5) = 0

Reorder the terms:
4x(-1 + 2x)(5 + 3x) = 0

Multiply (-1 + 2x) * (5 + 3x)
4x(-1(5 + 3x) + 2x * (5 + 3x)) = 0
4x((5 * -1 + 3x * -1) + 2x * (5 + 3x)) = 0
4x((-5 + -3x) + 2x * (5 + 3x)) = 0
4x(-5 + -3x + (5 * 2x + 3x * 2x)) = 0
4x(-5 + -3x + (10x + 6x2)) = 0

Combine like terms: -3x + 10x = 7x
4x(-5 + 7x + 6x2) = 0
(-5 * 4x + 7x * 4x + 6x2 * 4x) = 0
(-20x + 28x2 + 24x3) = 0

Solving
-20x + 28x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5 + 7x + 6x2) = 0

Factor a trinomial.
4x((-5 + -3x)(1 + -2x)) = 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 '(-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:

| X-0.7=8.64 | | 4x(2x-10)(3x+5)=0 | | 9x-x-2x=18 | | 12x^2-20x-7=0 | | -20+6+5y=26 | | (6x+7)(x^2-2x+1)= | | 18-3c=1c | | 4/12=t/54 | | 3x+25=3+6x-5 | | 19-2x=6-3x | | 9x^5+30x^4+21x^3=0 | | (v+4)(v-3)=0 | | 1024x^2-64=0 | | X=600000 | | (2-y)(3y-4)=0 | | 48/4·2-(7-5) | | 23jm+3j+3jm-j= | | -28=-16t^2+50t | | 3(z+5)(-z+8)=0 | | (3w-8)(9+w)=0 | | 16x^2+40x+30=0 | | 6a^2+2a=0 | | (4x-3)/5-4x/3=(2(x-13))/15 | | 6x=-13x+7 | | -2v(v-1)(v-4)=0 | | 6x=13x+7 | | -5v+9=-2 | | 7-8x-2=-45+5x-15 | | 5x-1^1/3 | | =4x^2+4x^2 | | 117=r+8 | | 4-[5z-(4-5z)]= |

Equations solver categories