40x^2-20x+25=0

Simple and best practice solution for 40x^2-20x+25=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 40x^2-20x+25=0 equation: 


Simplifying
40x2 + -20x + 25 = 0

Reorder the terms:
25 + -20x + 40x2 = 0

Solving
25 + -20x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + -4x + 8x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(5 + -4x + 8x2)' equal to zero and attempt to solve:

Simplifying
5 + -4x + 8x2 = 0

Solving
5 + -4x + 8x2 = 0

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

Divide each side by '8'.
0.625 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + -0.5x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + -0.5x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + -0.5x + x2 = 0 + -0.625
-0.5x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
-0.5x + x2 = -0.625

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.625 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.625 + 0.0625

Combine like terms: -0.625 + 0.0625 = -0.5625
0.0625 + -0.5x + x2 = -0.5625

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.5625

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:

| 6m-19=-34+m | | 9x^2+18+18x=0 | | 0.6x-0.4=0.7+0.8 | | x+5+x+5+x+5=x+x+2x-3 | | 2x-1+3x-32+2x+13=180 | | 5y-3=y-23 | | -9x^2-8x+2=0 | | x^5=6+2x^3 | | -3(8b-7)+b= | | Y=1375+16000 | | (5x^2+6x-2)(x-5)=0 | | 4z+2-z=5+2z-4 | | 2x^3-4x^2-64=0 | | 3(x+5)-10=-2x+-20 | | 47x+33x+1+44x+111=180 | | -6/k=3/4 | | 2(-9+5v)+5= | | 7x=35x^2 | | -9-10(1+5n)= | | 4x+5=-6+2x+19 | | -14r=-140 | | 3=-2x^2-3x | | -11=-3+4x | | 8ln(7x)=12 | | 5d=9-18 | | x+2(x-2)=22 | | 8x+20=9x+13 | | 4x-3+7x+9x=(-73) | | Y=-2500x+18999 | | 2x+3y=178 | | 5x+34=49 | | z-10=26 |

Equations solver categories