0=5x^2+80x-6

Simple and best practice solution for 0=5x^2+80x-6 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 0=5x^2+80x-6 equation:


Simplifying
0 = 5x2 + 80x + -6

Reorder the terms:
0 = -6 + 80x + 5x2

Solving
0 = -6 + 80x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -80x + -5x2 = -6 + 80x + 5x2 + 6 + -80x + -5x2

Reorder the terms:
6 + -80x + -5x2 = -6 + 6 + 80x + -80x + 5x2 + -5x2

Combine like terms: -6 + 6 = 0
6 + -80x + -5x2 = 0 + 80x + -80x + 5x2 + -5x2
6 + -80x + -5x2 = 80x + -80x + 5x2 + -5x2

Combine like terms: 80x + -80x = 0
6 + -80x + -5x2 = 0 + 5x2 + -5x2
6 + -80x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
6 + -80x + -5x2 = 0

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

Divide each side by '-5'.
-1.2 + 16x + x2 = 0

Move the constant term to the right:

Add '1.2' to each side of the equation.
-1.2 + 16x + 1.2 + x2 = 0 + 1.2

Reorder the terms:
-1.2 + 1.2 + 16x + x2 = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 16x + x2 = 0 + 1.2
16x + x2 = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
16x + x2 = 1.2

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = 1.2 + 64

Reorder the terms:
64 + 16x + x2 = 1.2 + 64

Combine like terms: 1.2 + 64 = 65.2
64 + 16x + x2 = 65.2

Factor a perfect square on the left side:
(x + 8)(x + 8) = 65.2

Calculate the square root of the right side: 8.074651695

Break this problem into two subproblems by setting 
(x + 8) equal to 8.074651695 and -8.074651695.

Subproblem 1

x + 8 = 8.074651695 Simplifying x + 8 = 8.074651695 Reorder the terms: 8 + x = 8.074651695 Solving 8 + x = 8.074651695 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 8.074651695 + -8 Combine like terms: 8 + -8 = 0 0 + x = 8.074651695 + -8 x = 8.074651695 + -8 Combine like terms: 8.074651695 + -8 = 0.074651695 x = 0.074651695 Simplifying x = 0.074651695

Subproblem 2

x + 8 = -8.074651695 Simplifying x + 8 = -8.074651695 Reorder the terms: 8 + x = -8.074651695 Solving 8 + x = -8.074651695 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = -8.074651695 + -8 Combine like terms: 8 + -8 = 0 0 + x = -8.074651695 + -8 x = -8.074651695 + -8 Combine like terms: -8.074651695 + -8 = -16.074651695 x = -16.074651695 Simplifying x = -16.074651695

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.074651695, -16.074651695}

See similar equations:

| -18q+15q+4q+q=-18 | | 3.75a=-9 | | 2(t-4)+8t=5(2t+2)-8 | | (4/9)/-3 | | -3x=x-4-2 | | 3x+6=22+3k | | 0.25x+5=.35x+2 | | 3.75a=9 | | -3/4/9 | | .8x-1.2=.2x | | B=zw | | x+(-1)=8 | | 9x+10=11x | | 14x-3/-3 | | -413.4=-15.9r | | 225x^2-480x+296= | | 122=4w+14 | | 10z-5z+18z-(-3z)+(-17z)=-18 | | 16-4=2 | | -(2m-6)-(-9m+6)=m-10-7m+10 | | (19x-7)-(3x+8)= | | j/3-7 | | 7y+4=53 | | 37=7y-12 | | 40/27=x/12 | | 29=-9(8d+6) | | 6r-7-2r=1 | | -8(1-7p)=-456 | | 7(x-2x)=40 | | 2v=42-4v | | 9=3z-3 | | 225x^2-480x+296=0 |

Equations solver categories