(x+2)(3x)=90

Simple and best practice solution for (x+2)(3x)=90 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+2)(3x)=90 equation: 


Simplifying
(x + 2)(3x) = 90

Reorder the terms:
(2 + x)(3x) = 90

Remove parenthesis around (3x)
(2 + x) * 3x = 90

Reorder the terms for easier multiplication:
3x(2 + x) = 90
(2 * 3x + x * 3x) = 90
(6x + 3x2) = 90

Solving
6x + 3x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + 6x + 3x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 6x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-30 + 2x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-30 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
-30 + 2x + x2 = 0

Solving
-30 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + 2x + 30 + x2 = 0 + 30

Reorder the terms:
-30 + 30 + 2x + x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 2x + x2 = 0 + 30
2x + x2 = 0 + 30

Combine like terms: 0 + 30 = 30
2x + x2 = 30

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 30 + 1

Reorder the terms:
1 + 2x + x2 = 30 + 1

Combine like terms: 30 + 1 = 31
1 + 2x + x2 = 31

Factor a perfect square on the left side:
(x + 1)(x + 1) = 31

Calculate the square root of the right side: 5.567764363

Break this problem into two subproblems by setting 
(x + 1) equal to 5.567764363 and -5.567764363.


Subproblem 1
x + 1 = 5.567764363

Simplifying
x + 1 = 5.567764363

Reorder the terms:
1 + x = 5.567764363

Solving
1 + x = 5.567764363

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 5.567764363 + -1

Combine like terms: 1 + -1 = 0
0 + x = 5.567764363 + -1
x = 5.567764363 + -1

Combine like terms: 5.567764363 + -1 = 4.567764363
x = 4.567764363

Simplifying
x = 4.567764363


Subproblem 2
x + 1 = -5.567764363

Simplifying
x + 1 = -5.567764363

Reorder the terms:
1 + x = -5.567764363

Solving
1 + x = -5.567764363

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -5.567764363 + -1

Combine like terms: 1 + -1 = 0
0 + x = -5.567764363 + -1
x = -5.567764363 + -1

Combine like terms: -5.567764363 + -1 = -6.567764363
x = -6.567764363

Simplifying
x = -6.567764363


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.567764363, -6.567764363}
Solution
x = {4.567764363, -6.567764363}

See similar equations:

| 4(4k-0.2)=4(k+1.1)-2(4k-3.1) | | (5x+9)-(-2x^2-6x+9)= | | (6+w)(w+0)=160 | | 25-6y=-5 | | -2x(x-6)=18 | | -16+6x=6--4x | | (1/4p-5/4)=3 | | (6+w)(w+10)=160 | | 18-42/6 | | 4m-m=15--15 | | y(5y-6)=38 | | x+(x+4)=64 | | -1/4(x+6)=1/8x | | x+(4x)=64 | | 1+3x=-32 | | 8(x+4)=28-2(x-5) | | Log(10)= | | X-1.6=6.79 | | log(1)= | | 4xwhat=56 | | 5(g-0.5)=4(g+1.4)-2(3g+0.4) | | 2(-6)+7= | | 1p=15 | | 1p=166 | | 2(3x-1)=2(2x+1) | | 2x+7y=950 | | -3(2x-5)=2(7-x) | | 4(m-3)=2(m+1) | | 3y+13=1 | | -6-3(-9r+2)= | | 20x+10=90 | | 2*2-5Y=18 |

Equations solver categories