3x^2-40*x+85=0

Simple and best practice solution for 3x^2-40*x+85=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 3x^2-40*x+85=0 equation: 


Simplifying
3x2 + -40x + 85 = 0

Reorder the terms:
85 + -40x + 3x2 = 0

Solving
85 + -40x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
28.33333333 + -13.33333333x + x2 = 0

Move the constant term to the right:

Add '-28.33333333' to each side of the equation.
28.33333333 + -13.33333333x + -28.33333333 + x2 = 0 + -28.33333333

Reorder the terms:
28.33333333 + -28.33333333 + -13.33333333x + x2 = 0 + -28.33333333

Combine like terms: 28.33333333 + -28.33333333 = 0.00000000
0.00000000 + -13.33333333x + x2 = 0 + -28.33333333
-13.33333333x + x2 = 0 + -28.33333333

Combine like terms: 0 + -28.33333333 = -28.33333333
-13.33333333x + x2 = -28.33333333

The x term is -13.33333333x.  Take half its coefficient (-6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
-13.33333333x + 44.44444442 + x2 = -28.33333333 + 44.44444442

Reorder the terms:
44.44444442 + -13.33333333x + x2 = -28.33333333 + 44.44444442

Combine like terms: -28.33333333 + 44.44444442 = 16.11111109
44.44444442 + -13.33333333x + x2 = 16.11111109

Factor a perfect square on the left side:
(x + -6.666666665)(x + -6.666666665) = 16.11111109

Calculate the square root of the right side: 4.013864857

Break this problem into two subproblems by setting 
(x + -6.666666665) equal to 4.013864857 and -4.013864857.


Subproblem 1
x + -6.666666665 = 4.013864857

Simplifying
x + -6.666666665 = 4.013864857

Reorder the terms:
-6.666666665 + x = 4.013864857

Solving
-6.666666665 + x = 4.013864857

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6.666666665' to each side of the equation.
-6.666666665 + 6.666666665 + x = 4.013864857 + 6.666666665

Combine like terms: -6.666666665 + 6.666666665 = 0.000000000
0.000000000 + x = 4.013864857 + 6.666666665
x = 4.013864857 + 6.666666665

Combine like terms: 4.013864857 + 6.666666665 = 10.680531522
x = 10.680531522

Simplifying
x = 10.680531522


Subproblem 2
x + -6.666666665 = -4.013864857

Simplifying
x + -6.666666665 = -4.013864857

Reorder the terms:
-6.666666665 + x = -4.013864857

Solving
-6.666666665 + x = -4.013864857

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6.666666665' to each side of the equation.
-6.666666665 + 6.666666665 + x = -4.013864857 + 6.666666665

Combine like terms: -6.666666665 + 6.666666665 = 0.000000000
0.000000000 + x = -4.013864857 + 6.666666665
x = -4.013864857 + 6.666666665

Combine like terms: -4.013864857 + 6.666666665 = 2.652801808
x = 2.652801808

Simplifying
x = 2.652801808


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.680531522, 2.652801808}

See similar equations:

| -4-8m=-8m+4 | | 2.3e^2x=100 | | 0=3sin(x)+cos(x) | | (x-2i)(x+2i)(x)(x+(4+i))(x-(4+i))(x-2i)(x+2i)(x-(3+2i))(x+(3+2i))=0 | | 8-4x=.4(6+5.2x+4) | | n-15/25=-23 | | 163.23=163.23-(0.07x) | | -1+n=3n-13 | | 9w-2w-4w+8=38 | | 2(n)-1=35 | | Y-2-1=3 | | 6+3(n)=-36 | | 8n-3n+24=59 | | 3x/27=.5/9 | | 4(-12x-25)=25-12.5x | | e^2x^2-12x+26=1 | | 2X(X^2)=54 | | 6x^2+20x-79=0 | | 22-c/2=-20 | | (-5-12i+(x*x))(-15+8i+(x*x))=0 | | -9+u=4 | | -9=x/6-3 | | 2+2x+3-7=x-8 | | 4=2/5a | | 30/300 | | -1q+7=5 | | -25=5+5v | | 9+(-9)=12 | | 8x+6x=8x+6x | | 2x^2+33*x+31=0 | | 5y+17=72 | | X+-5=-9 |

Equations solver categories