24x^2-85x+441=0

Simple and best practice solution for 24x^2-85x+441=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 24x^2-85x+441=0 equation:


Simplifying
24x2 + -85x + 441 = 0

Reorder the terms:
441 + -85x + 24x2 = 0

Solving
441 + -85x + 24x2 = 0

Solving for variable 'x'.

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

Divide each side by '24'.
18.375 + -3.541666667x + x2 = 0

Move the constant term to the right:

Add '-18.375' to each side of the equation.
18.375 + -3.541666667x + -18.375 + x2 = 0 + -18.375

Reorder the terms:
18.375 + -18.375 + -3.541666667x + x2 = 0 + -18.375

Combine like terms: 18.375 + -18.375 = 0.000
0.000 + -3.541666667x + x2 = 0 + -18.375
-3.541666667x + x2 = 0 + -18.375

Combine like terms: 0 + -18.375 = -18.375
-3.541666667x + x2 = -18.375

The x term is -3.541666667x.  Take half its coefficient (-1.770833334).
Square it (3.135850697) and add it to both sides.

Add '3.135850697' to each side of the equation.
-3.541666667x + 3.135850697 + x2 = -18.375 + 3.135850697

Reorder the terms:
3.135850697 + -3.541666667x + x2 = -18.375 + 3.135850697

Combine like terms: -18.375 + 3.135850697 = -15.239149303
3.135850697 + -3.541666667x + x2 = -15.239149303

Factor a perfect square on the left side:
(x + -1.770833334)(x + -1.770833334) = -15.239149303

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5(15-x)=9(10x-19) | | 8A+8=4A+16 | | 7(16-8)= | | 4x+5+x=2+3x+5 | | 1=(v-8)/(7)+(5v+3)/(4) | | 6+3t-1=7t+21-2t | | 0.3z=-45 | | x+3+18=180 | | 3(5r-7)-4(r+5)= | | x^2=4xy-2 | | 3.6u+1.2=1.3u-1.1 | | 28x^2-26x+6=(7x-3)(4x-2) | | w^3+7w^2+5w+35= | | 3y=-8+2x | | x*12=252 | | 14=2X-2 | | 13=4x-4 | | -3-9(-r+7)= | | 8=2-2x+6 | | -2t+30=8t | | 6-2x+1=4x+8-6x-3 | | 28x^2-26x+6= | | -2(2x-y)=-2(-6) | | -w+14=-3w+8 | | 8x^2+14x+35=0 | | 4x^3+10x^2+6x= | | 24x^2-106x+81=0 | | 1/3(9y+3)-(y-7) | | 8x^2+14+35=0 | | (5a-4)1/5 | | x+9+x+5+x+1=180 | | 5/6*54 |

Equations solver categories