(x^2+2x)(x-4x^2)=0

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


Simplifying
(x2 + 2x)(x + -4x2) = 0

Reorder the terms:
(2x + x2)(x + -4x2) = 0

Multiply (2x + x2) * (x + -4x2)
(2x * (x + -4x2) + x2(x + -4x2)) = 0
((x * 2x + -4x2 * 2x) + x2(x + -4x2)) = 0
((2x2 + -8x3) + x2(x + -4x2)) = 0
(2x2 + -8x3 + (x * x2 + -4x2 * x2)) = 0
(2x2 + -8x3 + (x3 + -4x4)) = 0

Combine like terms: -8x3 + x3 = -7x3
(2x2 + -7x3 + -4x4) = 0

Solving
2x2 + -7x3 + -4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(2 + -7x + -4x2) = 0

Factor a trinomial.
x2((1 + -4x)(2 + x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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, 0.25, -2}

See similar equations:

| 7p^2+36p=-5 | | x/4-5=5 | | 81y=16(5y+7) | | -4x^2=7x | | 5y+8=4y-4 | | y-2+3=10 | | -9-7=3x+2-2x | | 2e=-4e-16 | | 3x+4=4x+16 | | 0=30+70X-16X^2 | | 16-21q=-q+3(-9q-3) | | x-8y=14 | | -8x+6y=4 | | 5x^2+37x=-42 | | -4+2(12-3n)=-11(5+n) | | 9-3f=33 | | x-2=0ongraph | | x+3(6)=19 | | y^2+x+4y+1=0 | | 1+3a=4a | | 12s-36=108 | | 1+3a= | | 4y^2+25y-56= | | x+3(-6)=19 | | 100a+12a+1+2= | | 15(12a+13)= | | 3-6x=-69 | | 11d+8=4d+43 | | 24-1p=48 | | 3(2q+5)=5(q+1) | | 4(10n-10)+6n=8(1+5n) | | 3w^2+81w=0 |

Equations solver categories