4x^4+4x^3+4x^2=0

Simple and best practice solution for 4x^4+4x^3+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 4x^4+4x^3+4x^2=0 equation:


Simplifying
4x4 + 4x3 + 4x2 = 0

Reorder the terms:
4x2 + 4x3 + 4x4 = 0

Solving
4x2 + 4x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(1 + x + x2) = 0

Ignore the factor 4.

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 + x + x2)' equal to zero and attempt to solve: Simplifying 1 + x + x2 = 0 Solving 1 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + x2 = 0 + -1 x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x + x2 = -1 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -1 + 0.25 Reorder the terms: 0.25 + x + x2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + x + x2 = -0.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

See similar equations:

| -116-10x=-3x+31 | | 3=X^2-X+7+6 | | 5(2x)+5(4y)= | | 35=x(2x-3) | | a^3+5=9 | | -y^2+6y+7= | | 8x^4-8x=0 | | -3d+3(2-8d)+11= | | 64*w=-5796 | | A=X^2-X+7 | | y=(3/2)*(-1)-4 | | (2i)(1-4i)= | | -x+3=1 | | -x^2+7x-6= | | 80=4c | | 3(x-4)=29 | | 3c=34 | | (-2)=X^2-X+7 | | 7d+2(4d+1)-9= | | y=(3/2)1-4 | | 4(x-1)=x | | 3=5a-4-6a | | 25b^2-90b+81=0 | | -1+5=1-19 | | 4x+(4x-1)=-3x-(3-9x) | | -51-3x=-10x+82 | | 41+x-11=30 | | 3c^2-7c-21c+49= | | -11=4y+5 | | (4)=-2X+5 | | y^4z^2+8y^3z^2+16y^2z^2= | | -0.26n=169.39 |

Equations solver categories