9x^2+36x-18=0

Simple and best practice solution for 9x^2+36x-18=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 9x^2+36x-18=0 equation: 


Simplifying
9x2 + 36x + -18 = 0

Reorder the terms:
-18 + 36x + 9x2 = 0

Solving
-18 + 36x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-2 + 4x + x2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-2 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-2 + 4x + x2 = 0

Solving
-2 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 4x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 4x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4x + x2 = 0 + 2
4x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
4x + x2 = 2

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 2 + 4

Reorder the terms:
4 + 4x + x2 = 2 + 4

Combine like terms: 2 + 4 = 6
4 + 4x + x2 = 6

Factor a perfect square on the left side:
(x + 2)(x + 2) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(x + 2) equal to 2.449489743 and -2.449489743.


Subproblem 1
x + 2 = 2.449489743

Simplifying
x + 2 = 2.449489743

Reorder the terms:
2 + x = 2.449489743

Solving
2 + x = 2.449489743

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 2.449489743 + -2

Combine like terms: 2 + -2 = 0
0 + x = 2.449489743 + -2
x = 2.449489743 + -2

Combine like terms: 2.449489743 + -2 = 0.449489743
x = 0.449489743

Simplifying
x = 0.449489743


Subproblem 2
x + 2 = -2.449489743

Simplifying
x + 2 = -2.449489743

Reorder the terms:
2 + x = -2.449489743

Solving
2 + x = -2.449489743

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -2.449489743 + -2

Combine like terms: 2 + -2 = 0
0 + x = -2.449489743 + -2
x = -2.449489743 + -2

Combine like terms: -2.449489743 + -2 = -4.449489743
x = -4.449489743

Simplifying
x = -4.449489743


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.449489743, -4.449489743}
Solution
x = {0.449489743, -4.449489743}

See similar equations:

| 8-x=12.5-2.5x | | -10n^2=-220 | | 2.57x+2.57=5.14 | | -5-44k^2=-293 | | 9x^2+36-18=0 | | X^2-kx+2=0 | | y=100x+700 | | 3x^2+100x+625=0 | | 7x^2-10=298 | | 3x^2+2=86 | | (x-0.2x)20=170 | | 9a^2-8=622 | | -4x-2y=5 | | 9x^2-6=399 | | 6(3x+5)+2x+3=5 | | 5x+9y+10z=90 | | 4Z-16=-20 | | 3x^2-100x-625=0 | | 35x+14=25x-6 | | 3(x-20)=5 | | 8m-4=59+m | | 2+3x=12+12x | | 8-4(6x-8)=3 | | w-44=1 | | -17=4x-3y | | c-68=-65 | | K^2-28=-3k | | x+2x^2-4x+3= | | -3(x-3x)=2(-4x+7) | | 3(x+1.5)=1.5(2x+3) | | 5(-3x-8)=-10 | | 8+4(s-2t)=0 |

Equations solver categories