abs(x^2-4)-abs(9-x^2)=5

Simple and best practice solution for abs(x^2-4)-abs(9-x^2)=5 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 abs(x^2-4)-abs(9-x^2)=5 equation:


Simplifying
abs(x2 + -4) + -1abs(9 + -1x2) = 5

Reorder the terms:
abs(-4 + x2) + -1abs(9 + -1x2) = 5
(-4 * abs + x2 * abs) + -1abs(9 + -1x2) = 5
(-4abs + absx2) + -1abs(9 + -1x2) = 5
-4abs + absx2 + (9 * -1abs + -1x2 * -1abs) = 5
-4abs + absx2 + (-9abs + 1absx2) = 5

Reorder the terms:
-4abs + -9abs + absx2 + 1absx2 = 5

Combine like terms: -4abs + -9abs = -13abs
-13abs + absx2 + 1absx2 = 5

Combine like terms: absx2 + 1absx2 = 2absx2
-13abs + 2absx2 = 5

Solving
-13abs + 2absx2 = 5

Solving for variable 'a'.

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

Reorder the terms:
-5 + -13abs + 2absx2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -13abs + 2absx2 = 0

The solution to this equation could not be determined.

See similar equations:

| 50x=25y | | 3y+15=9y-13 | | 3x-4i= | | 4a=2a+q | | 5x^2+2xy+2y^2-2x-2y+1=0 | | 52+2x=x | | 50=16q+4.1 | | 9*9-2y=-37 | | 15=5-2.5x | | -4(5v+7)=31-8v | | 25y+4=59 | | 10h-23=27 | | 11d+4=48 | | 5(2x-4)-4(3x+8)=-50 | | 6-3x=8-x | | 24+9g=-3 | | xy-3x+2y+6=0 | | 20-5x=60 | | y-1/4=1/1/8 | | 8-X=1-0.5X | | 0=-16t^2+600t+14400 | | 16=4(9y-8) | | 2x^2-6x+11+2*sqrt(x^2-3x+5)=25 | | x(x^3+x^2+-9x-3)=44 | | cosx=5 | | 15x-x^2=18 | | 5x-x^2=54 | | x^2+8x-192=0 | | 0=(2x-7)(3x+1) | | 3sin^2(x)-sin(x)-1=0 | | -5+8n=5n-5+3n | | 149=-5(-4n-5)+4 |

Equations solver categories