9x^2-4x+60=0

Simple and best practice solution for 9x^2-4x+60=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 9x^2-4x+60=0 equation:


Simplifying
9x2 + -4x + 60 = 0

Reorder the terms:
60 + -4x + 9x2 = 0

Solving
60 + -4x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
6.666666667 + -0.4444444444x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -0.4444444444x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -0.4444444444x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -0.4444444444x + x2 = 0 + -6.666666667
-0.4444444444x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-0.4444444444x + x2 = -6.666666667

The x term is -0.4444444444x.  Take half its coefficient (-0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
-0.4444444444x + 0.04938271604 + x2 = -6.666666667 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444x + x2 = -6.666666667 + 0.04938271604

Combine like terms: -6.666666667 + 0.04938271604 = -6.61728395096
0.04938271604 + -0.4444444444x + x2 = -6.61728395096

Factor a perfect square on the left side:
(x + -0.2222222222)(x + -0.2222222222) = -6.61728395096

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2s+3t=-7 | | j/14=-8 | | 2x^3+3x^2-11x-4=0 | | x+36=8x | | 0.5(x-6)=3(1.5x+1) | | x-43=5x-7-x | | 7b+4-13b=46 | | 9x-3=8x+12 | | -6x+48=2x | | 2(t+5)=22 | | t*5= | | 2x-54=5x+9 | | x-3=15+4x | | 7u=42 | | 5y+1=2y+13 | | .35X+4.95=11.95 | | y=7x-3findy(6) | | 4(4x+1)=3x-4(6x-x)+8 | | 4t-2=3t | | 3/31x+15/31=9/31 | | 5*1.04x=12 | | -7=4-3x | | 5/31x+10/31=15/31 | | X^2=10x+25 | | x-40=6x | | 5x+4=7x+12 | | 180-10(3x)= | | 9z^2+42z+49=0 | | -6-16=m | | -16-20=m | | 16X^2+4y^2+32x+24y=0 | | 7y^2+11y-6=0 |

Equations solver categories