4x^7+28x^6-48x^5=0

Simple and best practice solution for 4x^7+28x^6-48x^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 4x^7+28x^6-48x^5=0 equation: 


Simplifying
4x7 + 28x6 + -48x5 = 0

Reorder the terms:
-48x5 + 28x6 + 4x7 = 0

Solving
-48x5 + 28x6 + 4x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x5'.
4x5(-12 + 7x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve:

Simplifying
x5 = 0

Solving
x5 = 0

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

Simplifying
x5 = 0

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 '(-12 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
-12 + 7x + x2 = 0

Solving
-12 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + 7x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + 7x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 7x + x2 = 0 + 12
7x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
7x + x2 = 12

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = 12 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 12 + 12.25

Combine like terms: 12 + 12.25 = 24.25
12.25 + 7x + x2 = 24.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(x + 3.5) equal to 4.924428901 and -4.924428901.


Subproblem 1
x + 3.5 = 4.924428901

Simplifying
x + 3.5 = 4.924428901

Reorder the terms:
3.5 + x = 4.924428901

Solving
3.5 + x = 4.924428901

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = 4.924428901 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = 4.924428901 + -3.5
x = 4.924428901 + -3.5

Combine like terms: 4.924428901 + -3.5 = 1.424428901
x = 1.424428901

Simplifying
x = 1.424428901


Subproblem 2
x + 3.5 = -4.924428901

Simplifying
x + 3.5 = -4.924428901

Reorder the terms:
3.5 + x = -4.924428901

Solving
3.5 + x = -4.924428901

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = -4.924428901 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = -4.924428901 + -3.5
x = -4.924428901 + -3.5

Combine like terms: -4.924428901 + -3.5 = -8.424428901
x = -8.424428901

Simplifying
x = -8.424428901


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.424428901, -8.424428901}
Solution
x = {1.424428901, -8.424428901}

See similar equations:

| -97=-5x+8(6-3x) | | m-3=(-9) | | 100-16t^2=0 | | 8[5-(4-5x)]+5x=5x(9x+5)-17 | | 7p+20=2-p | | x-2=(-6) | | -(8p+3)-2p=37 | | 4x^7+28x^6+-48x^5=O | | 12p+5pd-3p+6(pd+2p)= | | 2/3+w=3/2 | | (1/3)x^2+1=33 | | 5x+7=-73 | | -8(6-3b)=72 | | 7n^2-59+70=0 | | 8y+2=7y-1 | | 4(2t+5)-7=5(t+5) | | -6m+25-7(m-2)=5m-(7m-8)-3m+7 | | 1/2n=21 | | 4r+3=12 | | (3x/2)-x=(x/10)+(7/5) | | 2k-7(-3-k)=57 | | (3x/2)-x=(x/10)+7/5 | | log[3]x+log[3]3=4 | | 5+n=8 | | 4x=16x-24 | | 3x^4+11z^3+4x^2=0 | | p^2-6/5p+9/25=0 | | 8x^2=22 | | log(3)x+log(3)3=4 | | (2xy)(2x^2)(y^2)=0 | | y-2=14 | | g^2+2/3g+1/9=0 |

Equations solver categories