2x^4-40x^2+128=0

Simple and best practice solution for 2x^4-40x^2+128=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^4-40x^2+128=0 equation:


Simplifying
2x4 + -40x2 + 128 = 0

Reorder the terms:
128 + -40x2 + 2x4 = 0

Solving
128 + -40x2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(64 + -20x2 + x4) = 0

Factor a trinomial.
2((4 + -1x2)(16 + -1x2)) = 0

Factor a difference between two squares.
2(((2 + x)(2 + -1x))(16 + -1x2)) = 0

Factor a difference between two squares.
2(((4 + x)(4 + -1x))(2 + x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

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 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 3

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 4

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-2, 2, -4, 4}

See similar equations:

| 7(7n-4)=168 | | 5x+15-2x=-12 | | -5x+7=7-7x | | X^5-70X^3+X^2+1=0 | | f(x)=12(x-4)5/2 | | -18x+15=-13x-10 | | 6x+7=-5x+29 | | -12y+30-y=-3y+9 | | 8(10+p)=200 | | 3(2-6x)-4(1-7x)=-48 | | -3x+2+x=-2 | | n+1/3=-6 | | 5x+2+x=44 | | -6(-3+2x)=-66 | | -9n-7+3n=34 | | 4(2+2x)=104 | | 1/3x3.14x3x24 | | 1=9+p/8 | | 1/2(8x-14)-1/5(30x-4y) | | m=7+n | | -10-3x+5x=-30 | | -6(7x+3)=-186 | | -7=-7x+5x-3 | | x+1x=2 | | 15-1/3n=9 | | r/2-5=-5 | | 0=x-2x+3 | | -2(1+2x)=-50 | | 32x+3=42x+52x-10 | | 2(7-3x)=-22 | | 150=7x+6x+7 | | -22=2+6(d+5) |

Equations solver categories