-300x^2+300x-20000=0

Simple and best practice solution for -300x^2+300x-20000=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 -300x^2+300x-20000=0 equation: 


Simplifying
-300x2 + 300x + -20000 = 0

Reorder the terms:
-20000 + 300x + -300x2 = 0

Solving
-20000 + 300x + -300x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '100'.
100(-200 + 3x + -3x2) = 0

Ignore the factor 100.

Subproblem 1
Set the factor '(-200 + 3x + -3x2)' equal to zero and attempt to solve:

Simplifying
-200 + 3x + -3x2 = 0

Solving
-200 + 3x + -3x2 = 0

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

Divide each side by '-3'.
66.66666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-66.66666667' to each side of the equation.
66.66666667 + -1x + -66.66666667 + x2 = 0 + -66.66666667

Reorder the terms:
66.66666667 + -66.66666667 + -1x + x2 = 0 + -66.66666667

Combine like terms: 66.66666667 + -66.66666667 = 0.00000000
0.00000000 + -1x + x2 = 0 + -66.66666667
-1x + x2 = 0 + -66.66666667

Combine like terms: 0 + -66.66666667 = -66.66666667
-1x + x2 = -66.66666667

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -66.66666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -66.66666667 + 0.25

Combine like terms: -66.66666667 + 0.25 = -66.41666667
0.25 + -1x + x2 = -66.41666667

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -66.41666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 5(x+2)-2(x-4)=10 | | 2a+7=6a-21 | | 272=34y | | log(3)*(5x+1)=4 | | 3w-8=40 | | log[3](5x+1)=4 | | (2a+34)=(4a-4) | | -3-1-18x-45+2x-3=-x+3 | | 4/3-8/3y | | 35y+7=10 | | 14X-(2X-6)=42 | | 10+.5x=15+.25x | | (4lnx)/(x) | | 8y+85=180 | | 6p-6+7= | | 5y+100=2y+150 | | 24-8X=-72 | | f(x)=-6+3 | | 4+x+2-2x=15 | | 4x+7=-2x-6 | | 1.3z+1.5=1.5 | | (2x)=(2x-20) | | 2(x+14)=8 | | -2x=10x-10 | | RS=8y | | 3x+2+4x=7y-6x | | -19y=-133 | | 4(5x-8)=6x-116 | | m/11=-8 | | 3z/8-5=2 | | 5x-2=15x-11 | | 7x+x-20=180 |

Equations solver categories