6x(15x+750)=180

Simple and best practice solution for 6x(15x+750)=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 6x(15x+750)=180 equation: 


Simplifying
6x(15x + 750) = 180

Reorder the terms:
6x(750 + 15x) = 180
(750 * 6x + 15x * 6x) = 180
(4500x + 90x2) = 180

Solving
4500x + 90x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 4500x + 90x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 4500x + 90x2 = 0

Factor out the Greatest Common Factor (GCF), '90'.
90(-2 + 50x + x2) = 0

Ignore the factor 90.

Subproblem 1
Set the factor '(-2 + 50x + x2)' equal to zero and attempt to solve:

Simplifying
-2 + 50x + x2 = 0

Solving
-2 + 50x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 50x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 50x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 50x + x2 = 0 + 2
50x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
50x + x2 = 2

The x term is 50x.  Take half its coefficient (25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
50x + 625 + x2 = 2 + 625

Reorder the terms:
625 + 50x + x2 = 2 + 625

Combine like terms: 2 + 625 = 627
625 + 50x + x2 = 627

Factor a perfect square on the left side:
(x + 25)(x + 25) = 627

Calculate the square root of the right side: 25.039968051

Break this problem into two subproblems by setting 
(x + 25) equal to 25.039968051 and -25.039968051.


Subproblem 1
x + 25 = 25.039968051

Simplifying
x + 25 = 25.039968051

Reorder the terms:
25 + x = 25.039968051

Solving
25 + x = 25.039968051

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + x = 25.039968051 + -25

Combine like terms: 25 + -25 = 0
0 + x = 25.039968051 + -25
x = 25.039968051 + -25

Combine like terms: 25.039968051 + -25 = 0.039968051
x = 0.039968051

Simplifying
x = 0.039968051


Subproblem 2
x + 25 = -25.039968051

Simplifying
x + 25 = -25.039968051

Reorder the terms:
25 + x = -25.039968051

Solving
25 + x = -25.039968051

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + x = -25.039968051 + -25

Combine like terms: 25 + -25 = 0
0 + x = -25.039968051 + -25
x = -25.039968051 + -25

Combine like terms: -25.039968051 + -25 = -50.039968051
x = -50.039968051

Simplifying
x = -50.039968051


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.039968051, -50.039968051}
Solution
x = {0.039968051, -50.039968051}

See similar equations:

| 3c/4b^2 | | 8k-2k-8= | | -1.5m=-2.55 | | -5x+2=-18 | | 1/6x=-2 | | q^2-q-56=0 | | -4m=10 | | 2x^2+5x+3=55 | | 5x+7(x-5)-3(y-5)= | | 60=3x+3 | | (3a-5)(2a+7)= | | 0.6x-2.6=3.2x+1.1 | | 8x+3(x-4)= | | y=3(-2)+5 | | 5+2(4x-6)=5-4(2x+1) | | (8+2y)5+(1+-7y)-4=-2 | | 2k-6-k-10=5 | | 4m=-3 | | 10y-2=38 | | (a+5)(a-4)= | | x+3x+3=7 | | -1.6(2y+15)=-1.2(2y-10) | | y-5=3(-2) | | 5.9-T=5 | | 1.9=4/x | | 16d=144 | | 14y+8x=180 | | 12d=180 | | 9(4a-2)=12(3a+8) | | 5.9+5= | | -5x-7=4x+1 | | x+1=1x |

Equations solver categories