5x^2+4x-320=0

Simple and best practice solution for 5x^2+4x-320=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+4x-320=0 equation: 


Simplifying
5x2 + 4x + -320 = 0

Reorder the terms:
-320 + 4x + 5x2 = 0

Solving
-320 + 4x + 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'.
-64 + 0.8x + x2 = 0

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + 0.8x + 64 + x2 = 0 + 64

Reorder the terms:
-64 + 64 + 0.8x + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 0.8x + x2 = 0 + 64
0.8x + x2 = 0 + 64

Combine like terms: 0 + 64 = 64
0.8x + x2 = 64

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 = 64 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = 64 + 0.16

Combine like terms: 64 + 0.16 = 64.16
0.16 + 0.8x + x2 = 64.16

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = 64.16

Calculate the square root of the right side: 8.009993758

Break this problem into two subproblems by setting 
(x + 0.4) equal to 8.009993758 and -8.009993758.


Subproblem 1
x + 0.4 = 8.009993758

Simplifying
x + 0.4 = 8.009993758

Reorder the terms:
0.4 + x = 8.009993758

Solving
0.4 + x = 8.009993758

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + x = 8.009993758 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + x = 8.009993758 + -0.4
x = 8.009993758 + -0.4

Combine like terms: 8.009993758 + -0.4 = 7.609993758
x = 7.609993758

Simplifying
x = 7.609993758


Subproblem 2
x + 0.4 = -8.009993758

Simplifying
x + 0.4 = -8.009993758

Reorder the terms:
0.4 + x = -8.009993758

Solving
0.4 + x = -8.009993758

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + x = -8.009993758 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + x = -8.009993758 + -0.4
x = -8.009993758 + -0.4

Combine like terms: -8.009993758 + -0.4 = -8.409993758
x = -8.409993758

Simplifying
x = -8.409993758


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.609993758, -8.409993758}

See similar equations:

| -40=5x-5 | | 36x+y=20000 | | x+62+55=x+62 | | 6+4t= | | 10/7=5u | | 6sc-6= | | 9-10t= | | (-3x)-2(3x-4)=(-1) | | 3x+6=1+3x | | 9(8x-10)=414 | | -14x+3(x-3)+6x=2x-23 | | 2x+2(x-4)=5x+5 | | 2x-3=o | | 4x-4x=30 | | (120-2x-2y)-2x=0 | | 7sc-7y= | | -1-2x=-2-3x | | 6+10b= | | 9-10b= | | -5x+8x-8=3(x-2)-25 | | 24a-16b= | | 9+3b-1+7b-2= | | 9x+9+9=180 | | 2v-v=0 | | 10a-5b= | | 5(23)=180 | | -x+4=-x^2+5x-1 | | (5+2x)(5-2x)=0 | | 2m+1m=35-25 | | y+5-y+4= | | 5a-5b+5c= | | 87x+5=18x-4 |

Equations solver categories