(26-2x)(20-2x)=304

Simple and best practice solution for (26-2x)(20-2x)=304 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 (26-2x)(20-2x)=304 equation: 


Simplifying
(26 + -2x)(20 + -2x) = 304

Multiply (26 + -2x) * (20 + -2x)
(26(20 + -2x) + -2x * (20 + -2x)) = 304
((20 * 26 + -2x * 26) + -2x * (20 + -2x)) = 304
((520 + -52x) + -2x * (20 + -2x)) = 304
(520 + -52x + (20 * -2x + -2x * -2x)) = 304
(520 + -52x + (-40x + 4x2)) = 304

Combine like terms: -52x + -40x = -92x
(520 + -92x + 4x2) = 304

Solving
520 + -92x + 4x2 = 304

Solving for variable 'x'.

Reorder the terms:
520 + -304 + -92x + 4x2 = 304 + -304

Combine like terms: 520 + -304 = 216
216 + -92x + 4x2 = 304 + -304

Combine like terms: 304 + -304 = 0
216 + -92x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(54 + -23x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(54 + -23x + x2)' equal to zero and attempt to solve:

Simplifying
54 + -23x + x2 = 0

Solving
54 + -23x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -23x + -54 + x2 = 0 + -54

Reorder the terms:
54 + -54 + -23x + x2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -23x + x2 = 0 + -54
-23x + x2 = 0 + -54

Combine like terms: 0 + -54 = -54
-23x + x2 = -54

The x term is -23x.  Take half its coefficient (-11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
-23x + 132.25 + x2 = -54 + 132.25

Reorder the terms:
132.25 + -23x + x2 = -54 + 132.25

Combine like terms: -54 + 132.25 = 78.25
132.25 + -23x + x2 = 78.25

Factor a perfect square on the left side:
(x + -11.5)(x + -11.5) = 78.25

Calculate the square root of the right side: 8.845903006

Break this problem into two subproblems by setting 
(x + -11.5) equal to 8.845903006 and -8.845903006.


Subproblem 1
x + -11.5 = 8.845903006

Simplifying
x + -11.5 = 8.845903006

Reorder the terms:
-11.5 + x = 8.845903006

Solving
-11.5 + x = 8.845903006

Solving for variable 'x'.

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

Add '11.5' to each side of the equation.
-11.5 + 11.5 + x = 8.845903006 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + x = 8.845903006 + 11.5
x = 8.845903006 + 11.5

Combine like terms: 8.845903006 + 11.5 = 20.345903006
x = 20.345903006

Simplifying
x = 20.345903006


Subproblem 2
x + -11.5 = -8.845903006

Simplifying
x + -11.5 = -8.845903006

Reorder the terms:
-11.5 + x = -8.845903006

Solving
-11.5 + x = -8.845903006

Solving for variable 'x'.

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

Add '11.5' to each side of the equation.
-11.5 + 11.5 + x = -8.845903006 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + x = -8.845903006 + 11.5
x = -8.845903006 + 11.5

Combine like terms: -8.845903006 + 11.5 = 2.654096994
x = 2.654096994

Simplifying
x = 2.654096994


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {20.345903006, 2.654096994}
Solution
x = {20.345903006, 2.654096994}

See similar equations:

| 0=1-3x | | 0=8x-7 | | 6[9x-13]=408 | | 4(2x-7)=8x-3 | | 500=(x*0.05)+x | | 5-x^2=1 | | 500=(x+0.05)+x | | 3x+2+x=18 | | (26-2x)(20-2x)=216 | | 2x^2-6x=11 | | 4x+2(3x-8)=24 | | -4x+8+7x-11=12 | | 5m-10=40 | | 3(s-1)-4(s+8)=0 | | 2x^3+11x^2+11x+30=x | | x/3-12+7=-3 | | -3(29)+15=102 | | -3(29)+15= | | x^2+10x=231 | | x^2+10x-231=0 | | 3x(5x-10)=3x+12 | | 175=(25)(17)+b | | 13(5x-10)=3x+12 | | 7x-156+3x=64 | | y=1.05*x | | -6+1*(-5)= | | lx+8l=-9 | | 15-3z=9 | | 44=m-3 | | 50w+100=250 | | 4(2a+2)-17=153 | | 9y-3x=27forx |

Equations solver categories