4x^2+36x-351=0

Simple and best practice solution for 4x^2+36x-351=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 4x^2+36x-351=0 equation: 


Simplifying
4x2 + 36x + -351 = 0

Reorder the terms:
-351 + 36x + 4x2 = 0

Solving
-351 + 36x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
-87.75 + 9x + x2 = 0

Move the constant term to the right:

Add '87.75' to each side of the equation.
-87.75 + 9x + 87.75 + x2 = 0 + 87.75

Reorder the terms:
-87.75 + 87.75 + 9x + x2 = 0 + 87.75

Combine like terms: -87.75 + 87.75 = 0.00
0.00 + 9x + x2 = 0 + 87.75
9x + x2 = 0 + 87.75

Combine like terms: 0 + 87.75 = 87.75
9x + x2 = 87.75

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = 87.75 + 20.25

Reorder the terms:
20.25 + 9x + x2 = 87.75 + 20.25

Combine like terms: 87.75 + 20.25 = 108
20.25 + 9x + x2 = 108

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 108

Calculate the square root of the right side: 10.392304845

Break this problem into two subproblems by setting 
(x + 4.5) equal to 10.392304845 and -10.392304845.


Subproblem 1
x + 4.5 = 10.392304845

Simplifying
x + 4.5 = 10.392304845

Reorder the terms:
4.5 + x = 10.392304845

Solving
4.5 + x = 10.392304845

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = 10.392304845 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 10.392304845 + -4.5
x = 10.392304845 + -4.5

Combine like terms: 10.392304845 + -4.5 = 5.892304845
x = 5.892304845

Simplifying
x = 5.892304845


Subproblem 2
x + 4.5 = -10.392304845

Simplifying
x + 4.5 = -10.392304845

Reorder the terms:
4.5 + x = -10.392304845

Solving
4.5 + x = -10.392304845

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = -10.392304845 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -10.392304845 + -4.5
x = -10.392304845 + -4.5

Combine like terms: -10.392304845 + -4.5 = -14.892304845
x = -14.892304845

Simplifying
x = -14.892304845


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.892304845, -14.892304845}

See similar equations:

| 15x-8=50x-6 | | 1x+2=-4 | | (0.1)(-0.012)= | | 12-10x=-5x+45 | | 6w+5=41 | | -5a+16+7a=3a-9a | | 5(-4-2k)=-2(1-4k) | | 50=p+pr(10) | | 23=x | | 2(4x+7)+2(5)=75 | | [(1.05x)1.04]1.07=50000 | | x+3x+x+15=26 | | 14y-10y-11=69.20 | | 3+2(7x-4)-5x= | | -x^2-2x+33=0 | | -98-(-67)= | | 2t-1-3t=60 | | (C+7)(c-2)= | | (6y-10)+(6y-10)=180 | | -2(2x-2)=3 | | 10x+100=600 | | -9-12xm=8-4xm | | (0.2)(1.2)= | | 31=5(v+8)-8v | | -7x-5=3x+16 | | -98-(-67)=31 | | 4-20y=0 | | x=(13+2i)(4-4i) | | 0-20y=0 | | 53x+.5=27(.5+2x) | | 9y-7y+8=6y-28 | | 9m-4(2m-3)=12 |

Equations solver categories