3x^2-32x+73=0

Simple and best practice solution for 3x^2-32x+73=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^2-32x+73=0 equation: 


Simplifying
3x2 + -32x + 73 = 0

Reorder the terms:
73 + -32x + 3x2 = 0

Solving
73 + -32x + 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'.
24.33333333 + -10.66666667x + x2 = 0

Move the constant term to the right:

Add '-24.33333333' to each side of the equation.
24.33333333 + -10.66666667x + -24.33333333 + x2 = 0 + -24.33333333

Reorder the terms:
24.33333333 + -24.33333333 + -10.66666667x + x2 = 0 + -24.33333333

Combine like terms: 24.33333333 + -24.33333333 = 0.00000000
0.00000000 + -10.66666667x + x2 = 0 + -24.33333333
-10.66666667x + x2 = 0 + -24.33333333

Combine like terms: 0 + -24.33333333 = -24.33333333
-10.66666667x + x2 = -24.33333333

The x term is -10.66666667x.  Take half its coefficient (-5.333333335).
Square it (28.44444446) and add it to both sides.

Add '28.44444446' to each side of the equation.
-10.66666667x + 28.44444446 + x2 = -24.33333333 + 28.44444446

Reorder the terms:
28.44444446 + -10.66666667x + x2 = -24.33333333 + 28.44444446

Combine like terms: -24.33333333 + 28.44444446 = 4.11111113
28.44444446 + -10.66666667x + x2 = 4.11111113

Factor a perfect square on the left side:
(x + -5.333333335)(x + -5.333333335) = 4.11111113

Calculate the square root of the right side: 2.027587515

Break this problem into two subproblems by setting 
(x + -5.333333335) equal to 2.027587515 and -2.027587515.


Subproblem 1
x + -5.333333335 = 2.027587515

Simplifying
x + -5.333333335 = 2.027587515

Reorder the terms:
-5.333333335 + x = 2.027587515

Solving
-5.333333335 + x = 2.027587515

Solving for variable 'x'.

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

Add '5.333333335' to each side of the equation.
-5.333333335 + 5.333333335 + x = 2.027587515 + 5.333333335

Combine like terms: -5.333333335 + 5.333333335 = 0.000000000
0.000000000 + x = 2.027587515 + 5.333333335
x = 2.027587515 + 5.333333335

Combine like terms: 2.027587515 + 5.333333335 = 7.36092085
x = 7.36092085

Simplifying
x = 7.36092085


Subproblem 2
x + -5.333333335 = -2.027587515

Simplifying
x + -5.333333335 = -2.027587515

Reorder the terms:
-5.333333335 + x = -2.027587515

Solving
-5.333333335 + x = -2.027587515

Solving for variable 'x'.

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

Add '5.333333335' to each side of the equation.
-5.333333335 + 5.333333335 + x = -2.027587515 + 5.333333335

Combine like terms: -5.333333335 + 5.333333335 = 0.000000000
0.000000000 + x = -2.027587515 + 5.333333335
x = -2.027587515 + 5.333333335

Combine like terms: -2.027587515 + 5.333333335 = 3.30574582
x = 3.30574582

Simplifying
x = 3.30574582


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.36092085, 3.30574582}

See similar equations:

| -6-5a=-(2+4a)-7 | | 5m^4n-m^3n^2= | | 12•1/3= | | 10p+16= | | 14=(2w-3)w | | 4-7(1/2)= | | 4u-7=5(3-u)-4 | | -3h-9= | | 10x-6=8x+22 | | 12x-3=6x-10 | | 6272-32= | | y=-3x^2-4x+15 | | 1/3•-2 | | 11+(m+9)+m=28 | | 9/10-1/13 | | (8x+10)=(12x+40) | | 6x-y=45 | | 2(a-5)+6a+3= | | 7(y-4)=-6y-7 | | .5(6+x)*4=36 | | 10x-9=7x-5 | | 14=n/3.8-6 | | 13x-(3x-8)=78 | | 10x+11=-29 | | 0.40x+0.40(40)=0.20(52) | | -4-k/3 | | 5z-12=7 | | h/2.5-10=4 | | 10y+3+7y-1= | | 2(x+1)=8(x-1)-20 | | ((-2w^2)/u^4)^2 | | (11+4)+(9+4)=k |

Equations solver categories