(18-2x)(18-2x)-4*(18-2x)*x=0

Simple and best practice solution for (18-2x)(18-2x)-4*(18-2x)*x=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 (18-2x)(18-2x)-4*(18-2x)*x=0 equation: 


Simplifying
(18 + -2x)(18 + -2x) + -4(18 + -2x) * x = 0

Multiply (18 + -2x) * (18 + -2x)
(18(18 + -2x) + -2x * (18 + -2x)) + -4(18 + -2x) * x = 0
((18 * 18 + -2x * 18) + -2x * (18 + -2x)) + -4(18 + -2x) * x = 0
((324 + -36x) + -2x * (18 + -2x)) + -4(18 + -2x) * x = 0
(324 + -36x + (18 * -2x + -2x * -2x)) + -4(18 + -2x) * x = 0
(324 + -36x + (-36x + 4x2)) + -4(18 + -2x) * x = 0

Combine like terms: -36x + -36x = -72x
(324 + -72x + 4x2) + -4(18 + -2x) * x = 0

Reorder the terms for easier multiplication:
324 + -72x + 4x2 + -4x(18 + -2x) = 0
324 + -72x + 4x2 + (18 * -4x + -2x * -4x) = 0
324 + -72x + 4x2 + (-72x + 8x2) = 0

Reorder the terms:
324 + -72x + -72x + 4x2 + 8x2 = 0

Combine like terms: -72x + -72x = -144x
324 + -144x + 4x2 + 8x2 = 0

Combine like terms: 4x2 + 8x2 = 12x2
324 + -144x + 12x2 = 0

Solving
324 + -144x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(27 + -12x + x2) = 0

Factor a trinomial.
12((3 + -1x)(9 + -1x)) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {3, 9}

See similar equations:

| -3(5p-1)-2(1+6p)=1-6p-4p | | 30.7th=-73.8 | | 12-(5-2x)+8x=6-2(x+1) | | 3b+b^2=0 | | 14c^3-21c= | | (18-x)(18-x)-2*(18-x)*x=0 | | 4y-36/9-y | | 2(x+3)=5(x-1)-7(x-3)+2 | | .6x+.25x=22 | | -238=-7(6b+4) | | 10=2(7x+3)+2 | | 9t=3t-4t | | k-3/7=-3 | | 4x=(5x-30) | | 6-.2y=7 | | x^2+300x-21600=0 | | (5-3x)-(-4x+6)=(8x+11)-3(x-2) | | 8(x+6)+23=23 | | 30a^2=12a+96 | | 12+2=-42 | | 5(x-2)+4x=3(2x-1) | | 2(s-9)=s+2 | | 6x+y=28 | | 4/2-4i | | 1/3b+3=13 | | 8(3x-4)=4x+7 | | 5(1+7n)=-135 | | 0.90x+15.00=375.00 | | -4x^2+25y^2=100 | | 5/2x=6-3/2x | | 3m^2-22m=16 | | 4b^2=-16-20b |

Equations solver categories