10800=3x(2x+1)12

Simple and best practice solution for 10800=3x(2x+1)12 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 10800=3x(2x+1)12 equation: 


Simplifying
10800 = 3x(2x + 1) * 12

Reorder the terms:
10800 = 3x(1 + 2x) * 12

Reorder the terms for easier multiplication:
10800 = 3 * 12x(1 + 2x)

Multiply 3 * 12
10800 = 36x(1 + 2x)
10800 = (1 * 36x + 2x * 36x)
10800 = (36x + 72x2)

Solving
10800 = 36x + 72x2

Solving for variable 'x'.

Reorder the terms:
10800 + -36x + -72x2 = 36x + -36x + 72x2 + -72x2

Combine like terms: 36x + -36x = 0
10800 + -36x + -72x2 = 0 + 72x2 + -72x2
10800 + -36x + -72x2 = 72x2 + -72x2

Combine like terms: 72x2 + -72x2 = 0
10800 + -36x + -72x2 = 0

Factor out the Greatest Common Factor (GCF), '36'.
36(300 + -1x + -2x2) = 0

Factor a trinomial.
36((12 + -1x)(25 + 2x)) = 0

Ignore the factor 36.

Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

Subproblem 2
Set the factor '(25 + 2x)' equal to zero and attempt to solve:

Simplifying
25 + 2x = 0

Solving
25 + 2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = 0 + -25
2x = 0 + -25

Combine like terms: 0 + -25 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5
Solution
x = {12, -12.5}

See similar equations:

| (3x)53=125 | | 4s-3=s+1 | | x^2=2x^5 | | 2x^3-6x^2+16x-12=0 | | 13-1/3x=4 | | 0x^2=2x^0 | | 0x=x^2 | | 5x-29/x-6 | | a^3=b^2*c | | -5(x+2)-16=10+4 | | 2x_5y/ | | (x-5)(x-3i)(x+3i)= | | 15-2/5y=11 | | (4+x)+x+(X-2)=47 | | a^2+2ab+b^2=25 | | 13w-16w=9 | | (3y+2)(3-y)=0 | | 4.9/4.2 | | -3+6=m-8 | | 1/1+2i= | | 4c+9=12-11 | | 4c+9=12-1 | | .75x+.05(10-x)=.10(-37) | | 0=2x^3-6x^2+12x | | (-20x^16-6x^13)/(-2x^10 | | 1/10i | | Y^2+13y-114=0 | | -5/3^3 | | 4a+12=-4 | | 6b+9b+5b-6= | | x+x+8=22 | | 20b-6= |

Equations solver categories