(2x)(x-20)=180

Simple and best practice solution for (2x)(x-20)=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 (2x)(x-20)=180 equation: 


Simplifying
(2x)(x + -20) = 180

Remove parenthesis around (2x)
2x(x + -20) = 180

Reorder the terms:
2x(-20 + x) = 180
(-20 * 2x + x * 2x) = 180
(-40x + 2x2) = 180

Solving
-40x + 2x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + -40x + 2x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -40x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-90 + -20x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-90 + -20x + x2)' equal to zero and attempt to solve:

Simplifying
-90 + -20x + x2 = 0

Solving
-90 + -20x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '90' to each side of the equation.
-90 + -20x + 90 + x2 = 0 + 90

Reorder the terms:
-90 + 90 + -20x + x2 = 0 + 90

Combine like terms: -90 + 90 = 0
0 + -20x + x2 = 0 + 90
-20x + x2 = 0 + 90

Combine like terms: 0 + 90 = 90
-20x + x2 = 90

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = 90 + 100

Reorder the terms:
100 + -20x + x2 = 90 + 100

Combine like terms: 90 + 100 = 190
100 + -20x + x2 = 190

Factor a perfect square on the left side:
(x + -10)(x + -10) = 190

Calculate the square root of the right side: 13.784048752

Break this problem into two subproblems by setting 
(x + -10) equal to 13.784048752 and -13.784048752.


Subproblem 1
x + -10 = 13.784048752

Simplifying
x + -10 = 13.784048752

Reorder the terms:
-10 + x = 13.784048752

Solving
-10 + x = 13.784048752

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + x = 13.784048752 + 10

Combine like terms: -10 + 10 = 0
0 + x = 13.784048752 + 10
x = 13.784048752 + 10

Combine like terms: 13.784048752 + 10 = 23.784048752
x = 23.784048752

Simplifying
x = 23.784048752


Subproblem 2
x + -10 = -13.784048752

Simplifying
x + -10 = -13.784048752

Reorder the terms:
-10 + x = -13.784048752

Solving
-10 + x = -13.784048752

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + x = -13.784048752 + 10

Combine like terms: -10 + 10 = 0
0 + x = -13.784048752 + 10
x = -13.784048752 + 10

Combine like terms: -13.784048752 + 10 = -3.784048752
x = -3.784048752

Simplifying
x = -3.784048752


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {23.784048752, -3.784048752}
Solution
x = {23.784048752, -3.784048752}

See similar equations:

| x^3-3=5-2x | | 0.8+3.4=7.2 | | -[8z-(18z+3)]=3+(9z+8) | | 16+3x=-4+7x | | 3y(y+3)+5y=8y+4+5 | | -8x-5y=20 | | 5(3w-8)-7w=-6(w+2) | | 12t=-32 | | -15+x=10 | | (2b-90)+(b+45)+1.5b+b+90=540 | | -10X^2-40X-4=0 | | 7X-1-4X-3=90 | | 9x+1=3x+9 | | 5x^3-5x^2+15x-15=0 | | 13+x=40 | | 0.99x^2-2x+1=0 | | -2a-20b=20c | | 90+(x+15)=4x | | l=2(44)-8 | | -4(m+1)-m-15=-5(m+5)+6 | | -8b=30c+4a | | 9a-8a=10 | | b(4+b)=99 | | 2(4a-1b)+3(b+5a)= | | 2c+25=0 | | 3x*x^2-17*x=56 | | 248=2w+2(2w-8) | | 48x=553-265 | | Y-14x+8=12x-4 | | -4x+8x-6=4(x-3)-3 | | 5x+45=8x | | 3(2x+6)-4=-2(x+5) |

Equations solver categories