0=x^2-4x+60

Simple and best practice solution for 0=x^2-4x+60 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 0=x^2-4x+60 equation:


Simplifying
0 = x2 + -4x + 60

Reorder the terms:
0 = 60 + -4x + x2

Solving
0 = 60 + -4x + x2

Solving for variable 'x'.

Combine like terms: 0 + -60 = -60
-60 + 4x + -1x2 = 60 + -4x + x2 + -60 + 4x + -1x2

Reorder the terms:
-60 + 4x + -1x2 = 60 + -60 + -4x + 4x + x2 + -1x2

Combine like terms: 60 + -60 = 0
-60 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-60 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-60 + 4x + -1x2 = 0 + x2 + -1x2
-60 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-60 + 4x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
60 + -4x + x2 = 0

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -4x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + -4x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -4x + x2 = 0 + -60
-4x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
-4x + x2 = -60

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -60 + 4

Reorder the terms:
4 + -4x + x2 = -60 + 4

Combine like terms: -60 + 4 = -56
4 + -4x + x2 = -56

Factor a perfect square on the left side:
(x + -2)(x + -2) = -56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| Aa+1.25=2a-1 | | m(2-6)=19 | | 6/5k+9/5-2k+2/5+2/5k-5 | | 7/8y+1/7(y-8)=(y+1)/2 | | 5-3[8-(3y-5)]= | | 4x+28=8x+12 | | 1/4(20x+28)-12=-1/3(27x-6) | | -5/2x+1=7/2 | | 4=8+4w | | 304=-13.6+(-3.4c)+1.7c | | ((n-5/6))+((n+3/7))=(11/21) | | h=2+37t-16t^2 | | 3/8/3/4 | | y=9+3x | | -3/4r=-6 | | -9x-23=-158 | | -8m+3-6(m-3)=3m-(9m-2)-4m+3 | | 2x-3(2)=16 | | -8x-3=-7x-1 | | 2[x-3]+7=5 | | 3(9s+2)-21s=2(3s+2)-7 | | (5x+9y)-(11x-3y+6)= | | 3p-6=-14+4p | | 2(8)-3y=6 | | 3m+5m=38 | | 2x-3(0)=16 | | 4x-3x+4=6x-3+8x-2x+29 | | -4(k+4)-k-3=-5(k+5)+6 | | 4p-(1-6p)= | | (5x+4)+(8x-3)= | | 2/7(14x) | | 7x-53=2x+3-2x |

Equations solver categories