2x(8x+16)(5x-10)=0

Simple and best practice solution for 2x(8x+16)(5x-10)=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+16)(5x-10)=0 equation: 


Simplifying
2x(8x + 16)(5x + -10) = 0

Reorder the terms:
2x(16 + 8x)(5x + -10) = 0

Reorder the terms:
2x(16 + 8x)(-10 + 5x) = 0

Multiply (16 + 8x) * (-10 + 5x)
2x(16(-10 + 5x) + 8x * (-10 + 5x)) = 0
2x((-10 * 16 + 5x * 16) + 8x * (-10 + 5x)) = 0
2x((-160 + 80x) + 8x * (-10 + 5x)) = 0
2x(-160 + 80x + (-10 * 8x + 5x * 8x)) = 0
2x(-160 + 80x + (-80x + 40x2)) = 0

Combine like terms: 80x + -80x = 0
2x(-160 + 0 + 40x2) = 0
2x(-160 + 40x2) = 0
(-160 * 2x + 40x2 * 2x) = 0
(-320x + 80x3) = 0

Solving
-320x + 80x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '80x'.
80x(-4 + x2) = 0

Factor a difference between two squares.
80x((2 + x)(-2 + x)) = 0

Ignore the factor 80.

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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2

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

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

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

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

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

Simplifying
x = 2
Solution
x = {0, -2, 2}

See similar equations:

| ln(-x+2)=ln(2x+5) | | tan40/37 | | (x-a)(a-x-1)=2(a-x)2 | | 6x-4+9x+8=-27 | | (3x-2(x-1))-9=-(x-1) | | (2x-1)(3x+6)(x+1)=0 | | 3x-6=x-37 | | 5m+8=7+4 | | 5(x-3)(4x+1)=0 | | 8(x-5)-(x-6)=6(x-1) | | 9x-4=-10x-61 | | 5/4×(-8) | | 3a-15=39 | | X-28=3 | | -7(2t+9)=-49 | | x-1/3x=1/6 | | X/3=28-2x | | 3(3x+4)=-(x-3) | | 10(s-5)=-133 | | (z−7)/5 | | z−5/7=4.2 | | z−5/7 | | X^2+2x-2y=-8 | | 2x-2y=-8-x^2 | | 19-4*3+9= | | -5=-2X | | 32X=-48 | | (40x-5x^2)-(5x+30)=0 | | 13z-9=6z+12 | | 3a+3a=8 | | x^3-3x^2-3x+2=0 | | 3a+3whena=8 |

Equations solver categories