3x^2-32x+63=0

Simple and best practice solution for 3x^2-32x+63=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+63=0 equation: 


Simplifying
3x2 + -32x + 63 = 0

Reorder the terms:
63 + -32x + 3x2 = 0

Solving
63 + -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'.
21 + -10.66666667x + x2 = 0

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + -10.66666667x + -21 + x2 = 0 + -21

Reorder the terms:
21 + -21 + -10.66666667x + x2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -10.66666667x + x2 = 0 + -21
-10.66666667x + x2 = 0 + -21

Combine like terms: 0 + -21 = -21
-10.66666667x + x2 = -21

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 = -21 + 28.44444446

Reorder the terms:
28.44444446 + -10.66666667x + x2 = -21 + 28.44444446

Combine like terms: -21 + 28.44444446 = 7.44444446
28.44444446 + -10.66666667x + x2 = 7.44444446

Factor a perfect square on the left side:
(x + -5.333333335)(x + -5.333333335) = 7.44444446

Calculate the square root of the right side: 2.728450927

Break this problem into two subproblems by setting 
(x + -5.333333335) equal to 2.728450927 and -2.728450927.


Subproblem 1
x + -5.333333335 = 2.728450927

Simplifying
x + -5.333333335 = 2.728450927

Reorder the terms:
-5.333333335 + x = 2.728450927

Solving
-5.333333335 + x = 2.728450927

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 = 2.728450927 + 5.333333335

Combine like terms: -5.333333335 + 5.333333335 = 0.000000000
0.000000000 + x = 2.728450927 + 5.333333335
x = 2.728450927 + 5.333333335

Combine like terms: 2.728450927 + 5.333333335 = 8.061784262
x = 8.061784262

Simplifying
x = 8.061784262


Subproblem 2
x + -5.333333335 = -2.728450927

Simplifying
x + -5.333333335 = -2.728450927

Reorder the terms:
-5.333333335 + x = -2.728450927

Solving
-5.333333335 + x = -2.728450927

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 = -2.728450927 + 5.333333335

Combine like terms: -5.333333335 + 5.333333335 = 0.000000000
0.000000000 + x = -2.728450927 + 5.333333335
x = -2.728450927 + 5.333333335

Combine like terms: -2.728450927 + 5.333333335 = 2.604882408
x = 2.604882408

Simplifying
x = 2.604882408


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.061784262, 2.604882408}

See similar equations:

| 0=18x-36 | | 8x-2=5x+18 | | 3x^2-12x-17=0 | | -x^2-36-12x=0 | | 20=8+6a | | 8*40-19/-7/7= | | 2x+x+6+90=180 | | 5x-30/8=-2x | | 3/2x=1/x-5 | | n^3+2n^2+5n+10= | | 3X+10+17=360 | | -16x^2+80x+3=0 | | 6x+5-2x=-9 | | 12(x+2)=0 | | 5-x+2x=-4 | | Log^5(4x+11)=2 | | (x^2-3x+5)+(2x^2+11x+1)= | | 61200=12x+x | | (6k/2)2squared | | 25x=-7x+1 | | 23x+42-13x=24 | | 64x-2x+5=0 | | 9x-6x=0 | | 1x-1x-56=0 | | 175=14+7s | | 175=14-7s | | 4+3lnx=21 | | x^2+42x+272=0 | | 100x^2-100= | | 1/5(5x-6)=4 | | (X-3y)2= | | 4(9-2x)+10x=52 |

Equations solver categories