x^8-7x^5=8x^2

Simple and best practice solution for x^8-7x^5=8x^2 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^8-7x^5=8x^2 equation: 


Simplifying
x8 + -7x5 = 8x2

Reorder the terms:
-7x5 + x8 = 8x2

Solving
-7x5 + x8 = 8x2

Solving for variable 'x'.

Reorder the terms:
-8x2 + -7x5 + x8 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-8x2 + -7x5 + x8 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-8 + -7x3 + x6) = 0

Factor a trinomial.
x2((-1 + -1x3)(8 + -1x3)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-1 + -1x3)' equal to zero and attempt to solve:

Simplifying
-1 + -1x3 = 0

Solving
-1 + -1x3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x3 = 0 + 1
-1x3 = 0 + 1

Combine like terms: 0 + 1 = 1
-1x3 = 1

Divide each side by '-1'.
x3 = -1

Simplifying
x3 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(8 + -1x3)' equal to zero and attempt to solve:

Simplifying
8 + -1x3 = 0

Solving
8 + -1x3 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x3 = 0 + -8
-1x3 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x3 = -8

Divide each side by '-1'.
x3 = 8

Simplifying
x3 = 8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| 4m=9n | | 54=9(n-3) | | 64046.0232=2*3672.6696+L | | 7-7z-4z=28 | | -16-5b=4(3b-4)+8b | | a+w=3 | | 15-w=-2 | | cos^2(5x)+sin^2(5x)=cos(f(x)) | | 15=3m-1+m | | 6x-(9+4x)= | | 5b+15=5-5b | | 2g-12=4g-10 | | -b^4+b^2=2 | | 180-x+180-2a+180-2b+180-x-40=360 | | 27+29=7x | | (2x+5t)-3t= | | 12f+20=10f+22 | | -3(6y-5)-y=-4(y-2) | | 28=9u-8+5u | | 3x=138 | | 6e+9=3e+12 | | (4x+1)*3x=27 | | 2x-7y-7z=-9 | | 2d+30=d+12 | | a^4-2a^2b+b^2=0 | | 2+2a-6=6 | | 10x+5=3(3x+1) | | 4c+16=3c-12 | | f(4)=8x+11 | | 8x-(3+4x)= | | 2x+111=8x-9 | | -112=7(8p-8) |

Equations solver categories