(x^2-3)(x^2-5)=0

Simple and best practice solution for (x^2-3)(x^2-5)=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^2-3)(x^2-5)=0 equation: 


Simplifying
(x2 + -3)(x2 + -5) = 0

Reorder the terms:
(-3 + x2)(x2 + -5) = 0

Reorder the terms:
(-3 + x2)(-5 + x2) = 0

Multiply (-3 + x2) * (-5 + x2)
(-3(-5 + x2) + x2(-5 + x2)) = 0
((-5 * -3 + x2 * -3) + x2(-5 + x2)) = 0
((15 + -3x2) + x2(-5 + x2)) = 0
(15 + -3x2 + (-5 * x2 + x2 * x2)) = 0
(15 + -3x2 + (-5x2 + x4)) = 0

Combine like terms: -3x2 + -5x2 = -8x2
(15 + -8x2 + x4) = 0

Solving
15 + -8x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x2)(5 + -1x2) = 0


Subproblem 1
Set the factor '(3 + -1x2)' equal to zero and attempt to solve:

Simplifying
3 + -1x2 = 0

Solving
3 + -1x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x2 = 0 + -3
-1x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x2 = -3

Divide each side by '-1'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

Subproblem 2
Set the factor '(5 + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Solution
x = {-1.732050808, 1.732050808, -2.236067978, 2.236067978}

See similar equations:

| -6(4x+7)=198 | | 7x-4x+x-3=-7 | | 2(3n+6)=41 | | 16-81y^4=0 | | 9/27=10/x | | 34-3z=6z-2 | | 2/3n=(-22) | | 10/100=x/50 | | 11x-3x=10 | | -5x^2+44x+9=0 | | 12/x=60/20 | | tan(2π/6)=x | | (X+6)-(2x-4)=0 | | 3=(a+3)-5a | | -8-7(1+6x)=195 | | 3+8y=4y-t | | 12./x=60/20 | | 14+10y-4y=8 | | (N-2)180=157.5n | | y=3-0.5x | | x+[-0.0025]=0.0024 | | tan(2*pi)=x | | 6x+6(x-13)=18 | | x/100=5/25 | | -7/6-3/8 | | tan(2pi)=x | | -2x+4y=-2(1-2y) | | 3/12=5/x | | tan(2pi/6)=x | | (x-2)/(x-3)*(4x-6)/(x^2-4) | | 7/14=x/12 | | 3(5+y+z)=15+y+z |

Equations solver categories