(x^2+5)(x^2+5)=100

Simple and best practice solution for (x^2+5)(x^2+5)=100 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+5)(x^2+5)=100 equation: 


Simplifying
(x2 + 5)(x2 + 5) = 100

Reorder the terms:
(5 + x2)(x2 + 5) = 100

Reorder the terms:
(5 + x2)(5 + x2) = 100

Multiply (5 + x2) * (5 + x2)
(5(5 + x2) + x2(5 + x2)) = 100
((5 * 5 + x2 * 5) + x2(5 + x2)) = 100
((25 + 5x2) + x2(5 + x2)) = 100
(25 + 5x2 + (5 * x2 + x2 * x2)) = 100
(25 + 5x2 + (5x2 + x4)) = 100

Combine like terms: 5x2 + 5x2 = 10x2
(25 + 10x2 + x4) = 100

Solving
25 + 10x2 + x4 = 100

Solving for variable 'x'.

Reorder the terms:
25 + -100 + 10x2 + x4 = 100 + -100

Combine like terms: 25 + -100 = -75
-75 + 10x2 + x4 = 100 + -100

Combine like terms: 100 + -100 = 0
-75 + 10x2 + x4 = 0

Factor a trinomial.
(-15 + -1x2)(5 + -1x2) = 0


Subproblem 1
Set the factor '(-15 + -1x2)' equal to zero and attempt to solve:

Simplifying
-15 + -1x2 = 0

Solving
-15 + -1x2 = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x2 = 0 + 15
-1x2 = 0 + 15

Combine like terms: 0 + 15 = 15
-1x2 = 15

Divide each side by '-1'.
x2 = -15

Simplifying
x2 = -15

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 '(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 = {-2.236067978, 2.236067978}

See similar equations:

| 200=4(8)(5)+2(5h) | | 3x+11=3x+-5 | | 05.90+0.55=35.4 | | Ex=0ajaxhist=0 | | 2(w+7)=-8w+4 | | 9x+1y=7 | | 0.85=a/-7.2 | | z-100=-100 | | 7(6u+1)= | | -54+8x=-134 | | 0.85=a/-7.3 | | X^5-x^4=36 | | 24x*18y= | | 4(1+3p)= | | 1.4x=2.52 | | 3x+3y(2x)=-18 | | 9^0/r-6 | | x^3+10x^2+50x+500=0 | | X^3=32-x | | y/4-2=20 | | 1/2(-2x-10)3(4-6x) | | -8-(5+7p)=8(p+4) | | x^3+x^2=36x | | 4(x+8)+12=8(x+8)+10 | | X^3=33-x | | 150=(30+2x)(10-.5x) | | 9y-31=-2(y-1) | | y+5=3(x+6) | | az+bd=cx | | 49/64-y2 | | 6.9/z=-3 | | (6q)(4)= |

Equations solver categories