5x^2-40x-32=0

Simple and best practice solution for 5x^2-40x-32=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 5x^2-40x-32=0 equation:


Simplifying
5x2 + -40x + -32 = 0

Reorder the terms:
-32 + -40x + 5x2 = 0

Solving
-32 + -40x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
-6.4 + -8x + x2 = 0

Move the constant term to the right:

Add '6.4' to each side of the equation.
-6.4 + -8x + 6.4 + x2 = 0 + 6.4

Reorder the terms:
-6.4 + 6.4 + -8x + x2 = 0 + 6.4

Combine like terms: -6.4 + 6.4 = 0.0
0.0 + -8x + x2 = 0 + 6.4
-8x + x2 = 0 + 6.4

Combine like terms: 0 + 6.4 = 6.4
-8x + x2 = 6.4

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 6.4 + 16

Reorder the terms:
16 + -8x + x2 = 6.4 + 16

Combine like terms: 6.4 + 16 = 22.4
16 + -8x + x2 = 22.4

Factor a perfect square on the left side:
(x + -4)(x + -4) = 22.4

Calculate the square root of the right side: 4.732863826

Break this problem into two subproblems by setting 
(x + -4) equal to 4.732863826 and -4.732863826.

Subproblem 1

x + -4 = 4.732863826 Simplifying x + -4 = 4.732863826 Reorder the terms: -4 + x = 4.732863826 Solving -4 + x = 4.732863826 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 4.732863826 + 4 Combine like terms: -4 + 4 = 0 0 + x = 4.732863826 + 4 x = 4.732863826 + 4 Combine like terms: 4.732863826 + 4 = 8.732863826 x = 8.732863826 Simplifying x = 8.732863826

Subproblem 2

x + -4 = -4.732863826 Simplifying x + -4 = -4.732863826 Reorder the terms: -4 + x = -4.732863826 Solving -4 + x = -4.732863826 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -4.732863826 + 4 Combine like terms: -4 + 4 = 0 0 + x = -4.732863826 + 4 x = -4.732863826 + 4 Combine like terms: -4.732863826 + 4 = -0.732863826 x = -0.732863826 Simplifying x = -0.732863826

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.732863826, -0.732863826}

See similar equations:

| 7x+29=4x+59 | | 64+r=16+r | | x^2-36/25=0 | | 7y+12=8y+3 | | 40x^2+133x+99=0 | | 12x+7x=0 | | -6+y/3=-24 | | -1565+576= | | 11=5u-4 | | 4x^2+0.2x=0.06 | | 18=8+2v | | (x+7)/2=6 | | 310+(-673)= | | 2x-7+3x-1=4x+3 | | (2-4i)-(3-2i)= | | x/(-2)=-2 | | 56+(-7)= | | 2x-7+3x-1=4x+11 | | z/(-2)=-15 | | 97-4x=3x+14 | | 5-11h+7-9=2-9 | | 8-3(p+2v)=2p | | 2-4i= | | 550*(-10)*(e^(-3/2)) | | -x*x=344 | | -(9x+2)=-4(10+x)-9x | | 2-i/3+4i | | -w+40w=384 | | x^4-33*x^2=0 | | 2x^2+10x-25/4x+28 | | (3/2)=ln(x) | | 5/3-2i |

Equations solver categories