x(-4x-36)=18

Simple and best practice solution for x(-4x-36)=18 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 x(-4x-36)=18 equation: 


Simplifying
x(-4x + -36) = 18

Reorder the terms:
x(-36 + -4x) = 18
(-36 * x + -4x * x) = 18
(-36x + -4x2) = 18

Solving
-36x + -4x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + -36x + -4x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -36x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(9 + 18x + 2x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(9 + 18x + 2x2)' equal to zero and attempt to solve:

Simplifying
9 + 18x + 2x2 = 0

Solving
9 + 18x + 2x2 = 0

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

Divide each side by '2'.
4.5 + 9x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + 9x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + 9x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 9x + x2 = 0 + -4.5
9x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
9x + x2 = -4.5

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 = -4.5 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -4.5 + 20.25

Combine like terms: -4.5 + 20.25 = 15.75
20.25 + 9x + x2 = 15.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 15.75

Calculate the square root of the right side: 3.968626967

Break this problem into two subproblems by setting 
(x + 4.5) equal to 3.968626967 and -3.968626967.


Subproblem 1
x + 4.5 = 3.968626967

Simplifying
x + 4.5 = 3.968626967

Reorder the terms:
4.5 + x = 3.968626967

Solving
4.5 + x = 3.968626967

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 = 3.968626967 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 3.968626967 + -4.5
x = 3.968626967 + -4.5

Combine like terms: 3.968626967 + -4.5 = -0.531373033
x = -0.531373033

Simplifying
x = -0.531373033


Subproblem 2
x + 4.5 = -3.968626967

Simplifying
x + 4.5 = -3.968626967

Reorder the terms:
4.5 + x = -3.968626967

Solving
4.5 + x = -3.968626967

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 = -3.968626967 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -3.968626967 + -4.5
x = -3.968626967 + -4.5

Combine like terms: -3.968626967 + -4.5 = -8.468626967
x = -8.468626967

Simplifying
x = -8.468626967


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.531373033, -8.468626967}
Solution
x = {-0.531373033, -8.468626967}

See similar equations:

| f(-x)=3x^2+3x+9 | | X^3-XY+Y^2=7 | | 3x(2a-4)=6x+5 | | 2x^2+17x+11=0 | | y=4x-60 | | 14-3x(12-9)= | | 0.3r+0.6=0.2r-0.4 | | 0-25=-15x | | (7-3i)-(5+2i)=0 | | .6(y+3)=24 | | 2x^2+25X+144=0 | | -3(-5u+4)-6u=3(u-2)-4 | | 5(3-u)=-u-48 | | 2x+2-4(x+1)=5x+4 | | -6(4y-1)+7y=-3(y+4) | | x^2-3x+19=0 | | 6.3x-6.6=-1.6+5.3x | | -3(u+3)=6u+9 | | -2u+32=2(u+2) | | -2+32=2(u+2) | | -3(u-9)=-8u+32 | | xy+6x+6y+36=0 | | 3x-7x+4=-10 | | 5x-16=8(x+1) | | 7-4=4+7 | | 38=3y+7(y-6) | | 3x^2-27a=0 | | -8x+4(x+5)=-16 | | 7-4x=4+7x | | 10-.5d=14 | | 10-.5d=13 | | 6x+7-4x=15 |

Equations solver categories