(3x+12)5x=22

Simple and best practice solution for (3x+12)5x=22 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 (3x+12)5x=22 equation: 


Simplifying
(3x + 12) * 5x = 22

Reorder the terms:
(12 + 3x) * 5x = 22

Reorder the terms for easier multiplication:
5x(12 + 3x) = 22
(12 * 5x + 3x * 5x) = 22
(60x + 15x2) = 22

Solving
60x + 15x2 = 22

Solving for variable 'x'.

Reorder the terms:
-22 + 60x + 15x2 = 22 + -22

Combine like terms: 22 + -22 = 0
-22 + 60x + 15x2 = 0

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

Divide each side by '15'.
-1.466666667 + 4x + x2 = 0

Move the constant term to the right:

Add '1.466666667' to each side of the equation.
-1.466666667 + 4x + 1.466666667 + x2 = 0 + 1.466666667

Reorder the terms:
-1.466666667 + 1.466666667 + 4x + x2 = 0 + 1.466666667

Combine like terms: -1.466666667 + 1.466666667 = 0.000000000
0.000000000 + 4x + x2 = 0 + 1.466666667
4x + x2 = 0 + 1.466666667

Combine like terms: 0 + 1.466666667 = 1.466666667
4x + x2 = 1.466666667

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 = 1.466666667 + 4

Reorder the terms:
4 + 4x + x2 = 1.466666667 + 4

Combine like terms: 1.466666667 + 4 = 5.466666667
4 + 4x + x2 = 5.466666667

Factor a perfect square on the left side:
(x + 2)(x + 2) = 5.466666667

Calculate the square root of the right side: 2.338090389

Break this problem into two subproblems by setting 
(x + 2) equal to 2.338090389 and -2.338090389.


Subproblem 1
x + 2 = 2.338090389

Simplifying
x + 2 = 2.338090389

Reorder the terms:
2 + x = 2.338090389

Solving
2 + x = 2.338090389

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 = 2.338090389 + -2

Combine like terms: 2 + -2 = 0
0 + x = 2.338090389 + -2
x = 2.338090389 + -2

Combine like terms: 2.338090389 + -2 = 0.338090389
x = 0.338090389

Simplifying
x = 0.338090389


Subproblem 2
x + 2 = -2.338090389

Simplifying
x + 2 = -2.338090389

Reorder the terms:
2 + x = -2.338090389

Solving
2 + x = -2.338090389

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 = -2.338090389 + -2

Combine like terms: 2 + -2 = 0
0 + x = -2.338090389 + -2
x = -2.338090389 + -2

Combine like terms: -2.338090389 + -2 = -4.338090389
x = -4.338090389

Simplifying
x = -4.338090389


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.338090389, -4.338090389}

See similar equations:

| 6x+1=139 | | 14-16x=32-10x | | (3x+12)-5x=22 | | X^2+32x-192=0 | | Log(6x+14)=1 | | 2n=3n+9 | | Y/-4=2 | | -3x-84-11x=126 | | 2(5x+8)-3x=-26 | | 2t+5=2t+5 | | 8-7k=15 | | 4c-7c=15 | | x-3=147 | | 2/j | | 5(13z+6u)+8x+19-u= | | 0.2x+x-12=90 | | 5y+4x-7=4x+3-x | | 2=-7n+9 | | 3-10b=2d-9 | | 5+5x=-90 | | -2(4p+3)= | | -9x-1=-28 | | 24=-8(x-2) | | F(x)=360+8x | | 3x=2+14y | | -63+x-8x=28 | | 14x+7-19x= | | -71=9v+1 | | -4x+7x-50=40 | | Y=-.75x-3.5 | | 2(4x+16)=5x+2 | | 9(x+10)=3(x+5) |

Equations solver categories