4x^4-6x^2-4=0

Simple and best practice solution for 4x^4-6x^2-4=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^4-6x^2-4=0 equation:


Simplifying
4x4 + -6x2 + -4 = 0

Reorder the terms:
-4 + -6x2 + 4x4 = 0

Solving
-4 + -6x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -3x2 + 2x4) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -2x2)' equal to zero and attempt to solve: Simplifying -1 + -2x2 = 0 Solving -1 + -2x2 = 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 + -2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x2 = 0 + 1 -2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2x2 = 1 Divide each side by '-2'. x2 = -0.5 Simplifying x2 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {-1.414213562, 1.414213562}

See similar equations:

| y^2+y=7 | | (z^2)-(2+i)z+(-1+7i)=0 | | (0.23)^3/2 | | x^3+x^2-25x=25 | | 5-4ln(x)=1 | | 66=0.5(n^2-n) | | 5-4lnx=1 | | -14+2x=7x-8 | | 2e^15x=17 | | 2x=4x(3-5) | | -2x^2+10x+48=0 | | 2cos(2x-y)dx-cos(2x-y)=0 | | 25=-2y-5y-17 | | 19=2v+5 | | -3+3w=-15 | | (2xy+3y^2)-(2xy+x^2)dy=0 | | 3(a+4)-8=-19 | | 9x+10=5x+22 | | 84d^3-71d^2+d+6=0 | | 7(n+5)= | | 7x+100x=4 | | 8xfrom-4x= | | 18x^5+-81x^6+9x^7=0 | | 11y^3-(-5y^3)= | | 174-x=58 | | 3m-8m=-105 | | x^2+5x+29=0 | | 165=33-w | | 10(-3-2t)+10-2(6t-13)=4 | | M^2-30x+125= | | -v+172=101 | | -u+29=162 |

Equations solver categories