400-160x-12x^2=0

Simple and best practice solution for 400-160x-12x^2=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 400-160x-12x^2=0 equation: 


Simplifying
400 + -160x + -12x2 = 0

Solving
400 + -160x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(100 + -40x + -3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(100 + -40x + -3x2)' equal to zero and attempt to solve:

Simplifying
100 + -40x + -3x2 = 0

Solving
100 + -40x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-33.33333333 + 13.33333333x + x2 = 0

Move the constant term to the right:

Add '33.33333333' to each side of the equation.
-33.33333333 + 13.33333333x + 33.33333333 + x2 = 0 + 33.33333333

Reorder the terms:
-33.33333333 + 33.33333333 + 13.33333333x + x2 = 0 + 33.33333333

Combine like terms: -33.33333333 + 33.33333333 = 0.00000000
0.00000000 + 13.33333333x + x2 = 0 + 33.33333333
13.33333333x + x2 = 0 + 33.33333333

Combine like terms: 0 + 33.33333333 = 33.33333333
13.33333333x + x2 = 33.33333333

The x term is 13.33333333x.  Take half its coefficient (6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
13.33333333x + 44.44444442 + x2 = 33.33333333 + 44.44444442

Reorder the terms:
44.44444442 + 13.33333333x + x2 = 33.33333333 + 44.44444442

Combine like terms: 33.33333333 + 44.44444442 = 77.77777775
44.44444442 + 13.33333333x + x2 = 77.77777775

Factor a perfect square on the left side:
(x + 6.666666665)(x + 6.666666665) = 77.77777775

Calculate the square root of the right side: 8.819171035

Break this problem into two subproblems by setting 
(x + 6.666666665) equal to 8.819171035 and -8.819171035.


Subproblem 1
x + 6.666666665 = 8.819171035

Simplifying
x + 6.666666665 = 8.819171035

Reorder the terms:
6.666666665 + x = 8.819171035

Solving
6.666666665 + x = 8.819171035

Solving for variable 'x'.

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

Add '-6.666666665' to each side of the equation.
6.666666665 + -6.666666665 + x = 8.819171035 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = 8.819171035 + -6.666666665
x = 8.819171035 + -6.666666665

Combine like terms: 8.819171035 + -6.666666665 = 2.15250437
x = 2.15250437

Simplifying
x = 2.15250437


Subproblem 2
x + 6.666666665 = -8.819171035

Simplifying
x + 6.666666665 = -8.819171035

Reorder the terms:
6.666666665 + x = -8.819171035

Solving
6.666666665 + x = -8.819171035

Solving for variable 'x'.

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

Add '-6.666666665' to each side of the equation.
6.666666665 + -6.666666665 + x = -8.819171035 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = -8.819171035 + -6.666666665
x = -8.819171035 + -6.666666665

Combine like terms: -8.819171035 + -6.666666665 = -15.4858377
x = -15.4858377

Simplifying
x = -15.4858377


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.15250437, -15.4858377}
Solution
x = {2.15250437, -15.4858377}

See similar equations:

| 42/0 | | 2*x+85=3/4*x | | M^2+2n(-15)=0 | | 9x^3-11x^2-12x+12=0 | | -7(-7-3x)=154 | | X^3+7X^2+14=-8 | | 2*x=75 | | 473-39=434 | | -3w+5w-2=6 | | x^2+2x+5=50 | | 4x+20=280 | | 3(1-6n)=-141 | | 0.3*432.60= | | 6b+5b=-11 | | (x^2+5x-3)-(4x+1)=x^2-13 | | 11n^2=-9n+5 | | c=0.25b+8.5 | | x+7+2x-14=90 | | 1463*(90-x)=435(x-25) | | x=y/23 | | x+7+2x-14=180 | | -14=-23-x/3 | | 5(x-3)+55=3x | | c=38.25+0.25x | | -6=-r+2r | | (4x^2+4x+4)-(4x^2-5)=6x-8 | | c=38.25+.25x | | 2(u-4)-4=-3(-3u+2)-3u | | 11=-2-4v+1 | | 6(-2x+1)-3x=66 | | C/11 | | 693/4= |

Equations solver categories