5x^3=4x^2-57x

Simple and best practice solution for 5x^3=4x^2-57x 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 5x^3=4x^2-57x equation: 


Simplifying
5x3 = 4x2 + -57x

Reorder the terms:
5x3 = -57x + 4x2

Solving
5x3 = -57x + 4x2

Solving for variable 'x'.

Reorder the terms:
57x + -4x2 + 5x3 = -57x + 4x2 + 57x + -4x2

Reorder the terms:
57x + -4x2 + 5x3 = -57x + 57x + 4x2 + -4x2

Combine like terms: -57x + 57x = 0
57x + -4x2 + 5x3 = 0 + 4x2 + -4x2
57x + -4x2 + 5x3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
57x + -4x2 + 5x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(57 + -4x + 5x2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(57 + -4x + 5x2)' equal to zero and attempt to solve:

Simplifying
57 + -4x + 5x2 = 0

Solving
57 + -4x + 5x2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
11.4 + -0.8x + x2 = 0

Move the constant term to the right:

Add '-11.4' to each side of the equation.
11.4 + -0.8x + -11.4 + x2 = 0 + -11.4

Reorder the terms:
11.4 + -11.4 + -0.8x + x2 = 0 + -11.4

Combine like terms: 11.4 + -11.4 = 0.0
0.0 + -0.8x + x2 = 0 + -11.4
-0.8x + x2 = 0 + -11.4

Combine like terms: 0 + -11.4 = -11.4
-0.8x + x2 = -11.4

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -11.4 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -11.4 + 0.16

Combine like terms: -11.4 + 0.16 = -11.24
0.16 + -0.8x + x2 = -11.24

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -11.24

Can't calculate square root of the right side.

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:

| 2*7x^2+32=64 | | 9km+700m= | | 4x-7(x+6)=5x-2 | | 4x=16/5 | | x^2+y^2-6y+8x-27=0 | | 26-(-84)= | | -6-5(5v+2)=26-4v | | (9+3i)-(8+i)= | | 17=-3m+5 | | 4x+10=x-16 | | 20,186.7/62.3 | | X^2-3x-5=2x+9 | | -28=8+7(a-3) | | 5n+2=3n-12 | | 5n+2=n-12 | | 7Y-2(y+3)=9 | | 6+-5x=2(2x-6) | | 48=x+2 | | (7x-9)+(2X)=90 | | (7x-9)+(2X)=180 | | 2x*38=10x-58 | | -20=4(5b+2) | | 8n-(5n+8)=4 | | -0.5-1.5y=x | | 16n^2+48n=0 | | 2b^2=90-8b | | 38-10/x=4 | | 2(4k+3)+2k= | | -3/2x=-12 | | X-4x=-168 | | 12x-6=2x+28 | | 88-(-42)= |

Equations solver categories