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

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


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

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

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

Multiply (-3 + 2x) * (4 + 5x)
2x(-3(4 + 5x) + 2x * (4 + 5x)) = 0
2x((4 * -3 + 5x * -3) + 2x * (4 + 5x)) = 0
2x((-12 + -15x) + 2x * (4 + 5x)) = 0
2x(-12 + -15x + (4 * 2x + 5x * 2x)) = 0
2x(-12 + -15x + (8x + 10x2)) = 0

Combine like terms: -15x + 8x = -7x
2x(-12 + -7x + 10x2) = 0
(-12 * 2x + -7x * 2x + 10x2 * 2x) = 0
(-24x + -14x2 + 20x3) = 0

Solving
-24x + -14x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-12 + -7x + 10x2) = 0

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

Ignore the factor 2.

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 '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 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 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 3
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0, -0.8, 1.5}

See similar equations:

| (X+12)+52+30=180 | | 117.43/119 | | 10+2x=2x+15 | | 10+2x=2x+115 | | X^2+72x+1296=0 | | 5b-5=3b | | f(x)9x^4+1= | | 3(17/12) | | -18=15+3(6t+5) | | a^3b^3+c^3d^3= | | 3x-2(3/2*-5/4)=8 | | -18=-15+3(6t+5) | | .5x=.85x-22 | | log(x)-log(x-2)=3 | | 2x-1/3y=-2 | | 2x-1/3y=2 | | 40x-10x^3= | | 50=2+(n-1)2 | | -8=32-5w | | 6(x-1)+70=-2x | | 5x+10x+4x-10=180 | | 10x-11+3x+6+13x+3=180 | | (2x+3x)-10=10 | | (x^2-15)+(x(x-1))=180 | | .5(12x+4)=4x-14 | | (-7)=3x+2 | | 2b-6+6+3b=14 | | -3+.33z=-8 | | 4x^3/3x | | x/94 | | p-5-13p+150=-11 | | tan(x-30)=-0.5 |

Equations solver categories