80x^2+660x+1200=0

Simple and best practice solution for 80x^2+660x+1200=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 80x^2+660x+1200=0 equation: 


Simplifying
80x2 + 660x + 1200 = 0

Reorder the terms:
1200 + 660x + 80x2 = 0

Solving
1200 + 660x + 80x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(60 + 33x + 4x2) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(60 + 33x + 4x2)' equal to zero and attempt to solve:

Simplifying
60 + 33x + 4x2 = 0

Solving
60 + 33x + 4x2 = 0

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

Divide each side by '4'.
15 + 8.25x + x2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 8.25x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + 8.25x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8.25x + x2 = 0 + -15
8.25x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
8.25x + x2 = -15

The x term is 8.25x.  Take half its coefficient (4.125).
Square it (17.015625) and add it to both sides.

Add '17.015625' to each side of the equation.
8.25x + 17.015625 + x2 = -15 + 17.015625

Reorder the terms:
17.015625 + 8.25x + x2 = -15 + 17.015625

Combine like terms: -15 + 17.015625 = 2.015625
17.015625 + 8.25x + x2 = 2.015625

Factor a perfect square on the left side:
(x + 4.125)(x + 4.125) = 2.015625

Calculate the square root of the right side: 1.419727086

Break this problem into two subproblems by setting 
(x + 4.125) equal to 1.419727086 and -1.419727086.


Subproblem 1
x + 4.125 = 1.419727086

Simplifying
x + 4.125 = 1.419727086

Reorder the terms:
4.125 + x = 1.419727086

Solving
4.125 + x = 1.419727086

Solving for variable 'x'.

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

Add '-4.125' to each side of the equation.
4.125 + -4.125 + x = 1.419727086 + -4.125

Combine like terms: 4.125 + -4.125 = 0.000
0.000 + x = 1.419727086 + -4.125
x = 1.419727086 + -4.125

Combine like terms: 1.419727086 + -4.125 = -2.705272914
x = -2.705272914

Simplifying
x = -2.705272914


Subproblem 2
x + 4.125 = -1.419727086

Simplifying
x + 4.125 = -1.419727086

Reorder the terms:
4.125 + x = -1.419727086

Solving
4.125 + x = -1.419727086

Solving for variable 'x'.

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

Add '-4.125' to each side of the equation.
4.125 + -4.125 + x = -1.419727086 + -4.125

Combine like terms: 4.125 + -4.125 = 0.000
0.000 + x = -1.419727086 + -4.125
x = -1.419727086 + -4.125

Combine like terms: -1.419727086 + -4.125 = -5.544727086
x = -5.544727086

Simplifying
x = -5.544727086


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.705272914, -5.544727086}
Solution
x = {-2.705272914, -5.544727086}

See similar equations:

| 5p^2+6=-31p | | g=m*a-t | | 4x^2+33x+60=0 | | g=ma-t | | 1/4b=-12 | | 0.25*x=16 | | 7x+4y-4x+3y= | | 4xy-x^4-y^4= | | Y=-0.05x^2+x+6 | | 3k^2-32=20k | | x^4-109x^2+900=0 | | log(x+6)-2*log(x-3)=1 | | (3+4y)-(2x+7y-1)= | | 6381637391*73726382= | | E/5-4=-3 | | 3a^2-16=-2a | | -x^3+y^3-7xy= | | 7x-2=3(x+6) | | 190x-573=0 | | 4(w+4)=6w+32 | | 1/5(-20) | | 1/6=m/4 | | (n+1)(8-n+1)=64 | | 9i-18=20 | | f(x)=6x^2+11x+3 | | -8x+3(x+5)=-25 | | 3x+5=20-4 | | 6(x-2)=1/5(10x-20) | | 5(16.8+(-1.6y))+8y=84 | | 3+log(x+100)=7 | | 10(15)-5+2y-15=180 | | 3/7X7b-1=b-5 |

Equations solver categories