(5x)(3x)+(9x)=180

Simple and best practice solution for (5x)(3x)+(9x)=180 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 (5x)(3x)+(9x)=180 equation: 


Simplifying
(5x)(3x) + (9x) = 180

Remove parenthesis around (5x)
5x(3x) + (9x) = 180

Remove parenthesis around (3x)
5x * 3x + (9x) = 180

Reorder the terms for easier multiplication:
5 * 3x * x + (9x) = 180

Multiply 5 * 3
15x * x + (9x) = 180

Multiply x * x
15x2 + (9x) = 180

Reorder the terms:
(9x) + 15x2 = 180

Solving
(9x) + 15x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + (9x) + 15x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + (9x) + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-60 + (3x) + 5x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-60 + (3x) + 5x2)' equal to zero and attempt to solve:

Simplifying
-60 + (3x) + 5x2 = 0

Solving
-60 + (3x) + 5x2 = 0

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

Divide each side by '5'.
-12 + (0.6x) + x2 = 0

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + (0.6x) + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + (0.6x) + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + (0.6x) + x2 = 0 + 12
(0.6x) + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
(0.6x) + x2 = 12

The x term is (0.6x).  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
(0.6x) + 0.09 + x2 = 12 + 0.09

Reorder the terms:
0.09 + (0.6x) + x2 = 12 + 0.09

Combine like terms: 12 + 0.09 = 12.09
0.09 + (0.6x) + x2 = 12.09

Factor a perfect square on the left side:
(x + 0.3)(x + 0.3) = 12.09

Calculate the square root of the right side: 3.47706773

Break this problem into two subproblems by setting 
(x + 0.3) equal to 3.47706773 and -3.47706773.


Subproblem 1
x + 0.3 = 3.47706773

Simplifying
x + 0.3 = 3.47706773

Reorder the terms:
0.3 + x = 3.47706773

Solving
0.3 + x = 3.47706773

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + x = 3.47706773 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + x = 3.47706773 + -0.3
x = 3.47706773 + -0.3

Combine like terms: 3.47706773 + -0.3 = 3.17706773
x = 3.17706773

Simplifying
x = 3.17706773


Subproblem 2
x + 0.3 = -3.47706773

Simplifying
x + 0.3 = -3.47706773

Reorder the terms:
0.3 + x = -3.47706773

Solving
0.3 + x = -3.47706773

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + x = -3.47706773 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + x = -3.47706773 + -0.3
x = -3.47706773 + -0.3

Combine like terms: -3.47706773 + -0.3 = -3.77706773
x = -3.77706773

Simplifying
x = -3.77706773


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.17706773, -3.77706773}
Solution
x = {3.17706773, -3.77706773}

See similar equations:

| 3x+24=120 | | cos(ln(2))= | | 2(2x-3)+2(6x+2)=2(x+1) | | Tan(-11pi/6) | | (5x)(3x)(9x)=180 | | 2A-3.2=7a-5.9 | | 8n^2-9n-18=0 | | 38/180 | | 12x-8=90 | | 6N+0.91=2n-0.59 | | 6x-16=360 | | (5x)(3x)(9x)=60 | | (6x)(8x)=120 | | 3(24)=27(x) | | 3(24)=27+x | | 7x(5x+9)=18-(x+9) | | -13x+(-41x)=x | | 6r^2-4r-130=0 | | 2u+2=4u-4 | | n+n^6=200 | | (5x)(3x)=60 | | 6r^2-4-130=0 | | 23+x-18=x | | 4(9)=9(9+x) | | Y/11=23 | | ((x-4)/3)-1=(x-10)/4 | | 2X-5.3=2.7 | | ((x-4)/3))-1=(x-10)/4 | | (2x)(3x)=60 | | -37-(-28)=x | | x(12)=(x-1)(14) | | (5/k)=n-(7/m) |

Equations solver categories