300x^2-750x+625=0

Simple and best practice solution for 300x^2-750x+625=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^2-750x+625=0 equation: 


Simplifying
300x2 + -750x + 625 = 0

Reorder the terms:
625 + -750x + 300x2 = 0

Solving
625 + -750x + 300x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '25'.
25(25 + -30x + 12x2) = 0

Ignore the factor 25.

Subproblem 1
Set the factor '(25 + -30x + 12x2)' equal to zero and attempt to solve:

Simplifying
25 + -30x + 12x2 = 0

Solving
25 + -30x + 12x2 = 0

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

Divide each side by '12'.
2.083333333 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-2.083333333' to each side of the equation.
2.083333333 + -2.5x + -2.083333333 + x2 = 0 + -2.083333333

Reorder the terms:
2.083333333 + -2.083333333 + -2.5x + x2 = 0 + -2.083333333

Combine like terms: 2.083333333 + -2.083333333 = 0.000000000
0.000000000 + -2.5x + x2 = 0 + -2.083333333
-2.5x + x2 = 0 + -2.083333333

Combine like terms: 0 + -2.083333333 = -2.083333333
-2.5x + x2 = -2.083333333

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -2.083333333 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -2.083333333 + 1.5625

Combine like terms: -2.083333333 + 1.5625 = -0.520833333
1.5625 + -2.5x + x2 = -0.520833333

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -0.520833333

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)-3x=2(x-1) | | -5b=250 | | x(y)=1000 | | 8j-10=10j | | 12m+18y-3= | | -7e=91 | | -8-4s=-3s | | 7=2m-23 | | 2b+5+4w+7+3b+1+2w+3=360 | | 140+2x=5(x+20) | | 9y+5-2y=2y+8-y | | -5+3y=-20 | | -2/3(1) | | 5(2x-4)=2x+20 | | 56+y+y-12=180 | | y=.80x | | 240/24=n | | 5=ab^2 | | -5d-6=-6d | | 6w^2-10w-4=0 | | 56+y+y-12=189 | | 1/10y=6.33 | | -1/2-7=-7 | | j*18=720 | | 4x-7=19x-3 | | 8j-7j=7 | | -2(m+1)=16 | | x/4-y/11=1 | | -8d-7d+13d+(-20)=-10 | | 4(x-3)-4=8(.5x+1) | | 43*t=688 | | d-1.7=-4.2 |

Equations solver categories