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 = -2.604882408
x = -2.604882408

Simplifying
x = -2.604882408


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 = -8.061784262
x = -8.061784262

Simplifying
x = -8.061784262


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

See similar equations:

| -2x+2x=-3+5x | | 2y(x)+5y(x)=2 | | 4.6+3a=8a-11 | | 32-5x=11x-8 | | 22x^2+7x-2=0 | | 9(x+3)=4(x+13) | | 4000=4(x^3) | | 3z-7=13-2z | | 3*6=x | | 3x-9=71-7x | | (2z+1-i)(iz+1)=0 | | 3x+4y=100000 | | 3b-24=45 | | -3x(3x-2)+(2-3x)2= | | -4=0.5(x^2)+3x-2 | | 10=7+p | | 3y-2x-5=0 | | 24+y=45 | | 90-12w=20w-150 | | 26=2a | | Z-12=72 | | 3q^2-24q+72=q^2-12q+72 | | q+5=29 | | 12-7t=5t-4(2-3t) | | -6a+5-2(5a+8)=3 | | 6p+4=2p+16 | | 2y+5=7y+25 | | 3w-3-(2w+2)=8 | | 3z+5=2z-11 | | 3(0)+y+2=0 | | 6y-23=y+15 | | 3x+(-5)+2=0 |

Equations solver categories