2x(8x-3)(x+5)=0

Simple and best practice solution for 2x(8x-3)(x+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 2x(8x-3)(x+5)=0 equation: 


Simplifying
2x(8x + -3)(x + 5) = 0

Reorder the terms:
2x(-3 + 8x)(x + 5) = 0

Reorder the terms:
2x(-3 + 8x)(5 + x) = 0

Multiply (-3 + 8x) * (5 + x)
2x(-3(5 + x) + 8x * (5 + x)) = 0
2x((5 * -3 + x * -3) + 8x * (5 + x)) = 0
2x((-15 + -3x) + 8x * (5 + x)) = 0
2x(-15 + -3x + (5 * 8x + x * 8x)) = 0
2x(-15 + -3x + (40x + 8x2)) = 0

Combine like terms: -3x + 40x = 37x
2x(-15 + 37x + 8x2) = 0
(-15 * 2x + 37x * 2x + 8x2 * 2x) = 0
(-30x + 74x2 + 16x3) = 0

Solving
-30x + 74x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-15 + 37x + 8x2) = 0

Factor a trinomial.
2x((-5 + -1x)(3 + -8x)) = 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 '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 3
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 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 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Solution
x = {0, -5, 0.375}

See similar equations:

| 4k-2k+10=7k+8-43 | | 4k-2k+10=7k | | 27x+28=180 | | 255=5(7b-5) | | 27+28=180 | | 255=5 | | 10x^2+21xy-10y^2=0 | | 4x^4=2048x | | 480=x+2 | | 10x^2+21xy-10=0 | | 2e(3x+6)=6 | | 0.4(x+200)=0.45x-275 | | 3x+5=10-7 | | 4k+ar=r-9y | | 177=23y+x^2 | | 4(x-2*x-2)-2*2(x-1)=4 | | 4(x-2)(x-2)-2*2(x-1)=4 | | 17y+37=88 | | 7x+0.9=7.9 | | 2(x-9)2x=-2 | | n+(x)3=n-10 | | 9y+5=355 | | f(x+1)=4x^2+4x-4 | | 9y-5=355 | | x(15x+34)=77 | | 2x^2+8-28=0 | | 4(8)+8-2(8)=24 | | x^2+4x+16y^2-32y+4=0 | | 32=x(4x) | | 2y=8-10x | | 7[x-2]=21 | | Y=ln(7x(x)+35) |

Equations solver categories