3x^4-4x^3-1x^2=0

Simple and best practice solution for 3x^4-4x^3-1x^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 3x^4-4x^3-1x^2=0 equation:


Simplifying
3x4 + -4x3 + -1x2 = 0

Reorder the terms:
-1x2 + -4x3 + 3x4 = 0

Solving
-1x2 + -4x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + -4x + 3x2) = 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 + 3x2)' equal to zero and attempt to solve: Simplifying -1 + -4x + 3x2 = 0 Solving -1 + -4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.3333333333 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + -1.333333333x + 0.3333333333 + x2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + -1.333333333x + x2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + -1.333333333x + x2 = 0 + 0.3333333333 -1.333333333x + x2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 -1.333333333x + x2 = 0.3333333333 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = 0.3333333333 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = 0.3333333333 + 0.4444444442 Combine like terms: 0.3333333333 + 0.4444444442 = 0.7777777775 0.4444444442 + -1.333333333x + x2 = 0.7777777775 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = 0.7777777775 Calculate the square root of the right side: 0.881917104 Break this problem into two subproblems by setting (x + -0.6666666665) equal to 0.881917104 and -0.881917104.

Subproblem 1

x + -0.6666666665 = 0.881917104 Simplifying x + -0.6666666665 = 0.881917104 Reorder the terms: -0.6666666665 + x = 0.881917104 Solving -0.6666666665 + x = 0.881917104 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + x = 0.881917104 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + x = 0.881917104 + 0.6666666665 x = 0.881917104 + 0.6666666665 Combine like terms: 0.881917104 + 0.6666666665 = 1.5485837705 x = 1.5485837705 Simplifying x = 1.5485837705

Subproblem 2

x + -0.6666666665 = -0.881917104 Simplifying x + -0.6666666665 = -0.881917104 Reorder the terms: -0.6666666665 + x = -0.881917104 Solving -0.6666666665 + x = -0.881917104 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + x = -0.881917104 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + x = -0.881917104 + 0.6666666665 x = -0.881917104 + 0.6666666665 Combine like terms: -0.881917104 + 0.6666666665 = -0.2152504375 x = -0.2152504375 Simplifying x = -0.2152504375

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.5485837705, -0.2152504375}

Solution

x = {0, 1.5485837705, -0.2152504375}

See similar equations:

| 15/35=12/x | | 6=8(s-3/4)-2 | | 2w+2(2w-5)=68 | | 3-4y=11 | | 2w+2(2w-8)=80 | | 4r+16/12=5r-30/5 | | -x^2-x=11 | | -8x^2-10x+3=0 | | 1/4(8x+20)=11 | | 3.2m+1.2=.56 | | y=-90+4500 | | x+x-27=83 | | 18x^2+15x+3=0 | | -5x-8(x+1)=-4(3x+5) | | 70=(2.73)(1+x)/(0.1223-x) | | 57+-38= | | 4(3x-2)-11x=7 | | -34-12y+12=-32y+8+14y | | 7*m=0 | | 0.4d+0.5=-2.9-1.3d | | 47-9y=7-4y | | 18x-14= | | 0.04=4x-0.76 | | 4f+-7f=6 | | 45/5 | | 6x-3=-12 | | 11x+4x-5x=80 | | 10=12x+6(1-x) | | -24+-57= | | 17x+14y=-98 | | 9=3(x-1) | | 70=(2.37)(1+x)/0.1223+x |

Equations solver categories