36x^2+2x-9=0

Simple and best practice solution for 36x^2+2x-9=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 36x^2+2x-9=0 equation: 


Simplifying
36x2 + 2x + -9 = 0

Reorder the terms:
-9 + 2x + 36x2 = 0

Solving
-9 + 2x + 36x2 = 0

Solving for variable 'x'.

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

Divide each side by '36'.
-0.25 + 0.05555555556x + x2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + 0.05555555556x + 0.25 + x2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + 0.05555555556x + x2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 0.05555555556x + x2 = 0 + 0.25
0.05555555556x + x2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
0.05555555556x + x2 = 0.25

The x term is 0.05555555556x.  Take half its coefficient (0.02777777778).
Square it (0.0007716049384) and add it to both sides.

Add '0.0007716049384' to each side of the equation.
0.05555555556x + 0.0007716049384 + x2 = 0.25 + 0.0007716049384

Reorder the terms:
0.0007716049384 + 0.05555555556x + x2 = 0.25 + 0.0007716049384

Combine like terms: 0.25 + 0.0007716049384 = 0.2507716049384
0.0007716049384 + 0.05555555556x + x2 = 0.2507716049384

Factor a perfect square on the left side:
(x + 0.02777777778)(x + 0.02777777778) = 0.2507716049384

Calculate the square root of the right side: 0.50077101

Break this problem into two subproblems by setting 
(x + 0.02777777778) equal to 0.50077101 and -0.50077101.


Subproblem 1
x + 0.02777777778 = 0.50077101

Simplifying
x + 0.02777777778 = 0.50077101

Reorder the terms:
0.02777777778 + x = 0.50077101

Solving
0.02777777778 + x = 0.50077101

Solving for variable 'x'.

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

Add '-0.02777777778' to each side of the equation.
0.02777777778 + -0.02777777778 + x = 0.50077101 + -0.02777777778

Combine like terms: 0.02777777778 + -0.02777777778 = 0.00000000000
0.00000000000 + x = 0.50077101 + -0.02777777778
x = 0.50077101 + -0.02777777778

Combine like terms: 0.50077101 + -0.02777777778 = 0.47299323222
x = 0.47299323222

Simplifying
x = 0.47299323222


Subproblem 2
x + 0.02777777778 = -0.50077101

Simplifying
x + 0.02777777778 = -0.50077101

Reorder the terms:
0.02777777778 + x = -0.50077101

Solving
0.02777777778 + x = -0.50077101

Solving for variable 'x'.

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

Add '-0.02777777778' to each side of the equation.
0.02777777778 + -0.02777777778 + x = -0.50077101 + -0.02777777778

Combine like terms: 0.02777777778 + -0.02777777778 = 0.00000000000
0.00000000000 + x = -0.50077101 + -0.02777777778
x = -0.50077101 + -0.02777777778

Combine like terms: -0.50077101 + -0.02777777778 = -0.52854878778
x = -0.52854878778

Simplifying
x = -0.52854878778


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.47299323222, -0.52854878778}

See similar equations:

| (3-2k)-(2k+5)=7-3k | | 42-72=-201 | | -16t^2+32t-8=0 | | V/6.0=4.5-V/9.0 | | 6(.5x+3)+4(12-x)=.83 | | 4x(x+8)= | | -4m+2n-3m+5n=0 | | -7r-8r=15 | | 0.4y-12=8 | | (x^2-x-6)(x^2+x-15)= | | 5(x+3)=1x+6 | | 140/40=n/50 | | 4x^7+28x= | | 20x-15=18x | | 2x+2=2x-2 | | x^2+6=262 | | (2x+1)-(12x+7)= | | 53=0.2x+3 | | 0.142857x-12=0 | | 8y/5+1=4y-1 | | 3(2y-7)-(y-16)=8 | | 5x=1+5x | | -15-5d+8d=-12 | | 7t-t=42 | | 6x-2x+3=12 | | 2(n-4)=3-n/2 | | t-7t=42 | | 5g-11g=22 | | 1+3(c-1)=10 | | 1/3(9K-3)=4K | | 2(2c-7)=-34 | | 2(p+1)=(p-1) |

Equations solver categories