15x^2-50x+100=0

Simple and best practice solution for 15x^2-50x+100=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 15x^2-50x+100=0 equation: 


Simplifying
15x2 + -50x + 100 = 0

Reorder the terms:
100 + -50x + 15x2 = 0

Solving
100 + -50x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(20 + -10x + 3x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(20 + -10x + 3x2)' equal to zero and attempt to solve:

Simplifying
20 + -10x + 3x2 = 0

Solving
20 + -10x + 3x2 = 0

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

Divide each side by '3'.
6.666666667 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -3.333333333x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -3.333333333x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -6.666666667
-3.333333333x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-3.333333333x + x2 = -6.666666667

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -6.666666667 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -6.666666667 + 2.777777779

Combine like terms: -6.666666667 + 2.777777779 = -3.888888888
2.777777779 + -3.333333333x + x2 = -3.888888888

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -3.888888888

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:

| lx-8l=3 | | 2-(4-6)-(4-2)+4= | | 4/500 | | 6.3x-1.3=5.0 | | 9+4(x-8)=7-6(x-9) | | 3(6z-1)-2(z+5)=12(z+1) | | 2.66x+.33x=1.33+1.66x | | -0.2+13=0.2m-6 | | 6-7x=5x-9x-12 | | -144=-15n-9 | | -44=9x+1 | | 7*3^2/5 | | -3(x-9)(x+6)= | | 10+4x=12-2x | | 11-47=4x-4-4 | | =(x^2-16)/(x^2-3x-4) | | 7-m/2=1 | | 9x-2(x-9)=2(x-3)+1 | | -29=7+4 | | X=1.48 | | 2.68d+2.04=-1.02d+61 | | -26=2-7x | | 5x-7=10+2x | | I=500*.11*2 | | 1-3g=22 | | 12v^7-40v^6-32v^5= | | 16=2+b+7 | | 6x^2-21x+49=0 | | (2x+3y-2)dx+(3x-4y+1)dy=0 | | A=1/2(16*22) | | 9(x+4)-4=36-6x-4+15x | | 0.5a+11=4-3a |

Equations solver categories