z^4-9z^2=112

Simple and best practice solution for z^4-9z^2=112 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 z^4-9z^2=112 equation: 


Simplifying
z4 + -9z2 = 112

Reorder the terms:
-9z2 + z4 = 112

Solving
-9z2 + z4 = 112

Solving for variable 'z'.

Reorder the terms:
-112 + -9z2 + z4 = 112 + -112

Combine like terms: 112 + -112 = 0
-112 + -9z2 + z4 = 0

Factor a trinomial.
(-7 + -1z2)(16 + -1z2) = 0

Factor a difference between two squares.
(-7 + -1z2)((4 + z)(4 + -1z)) = 0


Subproblem 1
Set the factor '(-7 + -1z2)' equal to zero and attempt to solve:

Simplifying
-7 + -1z2 = 0

Solving
-7 + -1z2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1z2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1z2 = 0 + 7
-1z2 = 0 + 7

Combine like terms: 0 + 7 = 7
-1z2 = 7

Divide each side by '-1'.
z2 = -7

Simplifying
z2 = -7

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 '(4 + z)' equal to zero and attempt to solve:

Simplifying
4 + z = 0

Solving
4 + z = 0

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

Add '-4' to each side of the equation.
4 + -4 + z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + z = 0 + -4
z = 0 + -4

Combine like terms: 0 + -4 = -4
z = -4

Simplifying
z = -4

Subproblem 3
Set the factor '(4 + -1z)' equal to zero and attempt to solve:

Simplifying
4 + -1z = 0

Solving
4 + -1z = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1z = 0 + -4
-1z = 0 + -4

Combine like terms: 0 + -4 = -4
-1z = -4

Divide each side by '-1'.
z = 4

Simplifying
z = 4
Solution
z = {-4, 4}

See similar equations:

| -x^4-2x^3+8x+16= | | -9-3(2g-1)=3s | | 1-(-7)+5= | | -76(y-61)=y+(-89) | | -13+2-19= | | 17x+3=8x+39 | | 46-(-27)= | | 9-6x+x^2= | | -12x-6=9-7x | | 2/7J-1/=3/14 | | 6+(-20)= | | -54(y-94)=y+37 | | 5[2(2x-4)]=2[5-3x] | | 29=-3x-7+5x | | Z=5y-9y | | -64=5y+-9 | | p^2-5p-9=0 | | -61(z-94)=z+(-22) | | -1.5w+7.5= | | 7x+1=145 | | 36a^2-3a=18 | | Y=(x+4)5 | | 0.25x-4.24=1.9 | | 8x+5+7=3 | | 8x^2+36=20 | | (x+1)(x+18)=10 | | 10n+8=18n | | 5x+3(2x-4)=54 | | 7x+xy=y-7 | | 4(x+3)-12=-28 | | 1950=-15x^2+600x-1800 | | -4n+8=-2n-10 |

Equations solver categories