(38-2x)*(32-2x)=600

Simple and best practice solution for (38-2x)*(32-2x)=600 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 (38-2x)*(32-2x)=600 equation: 


Simplifying
(38 + -2x)(32 + -2x) = 600

Multiply (38 + -2x) * (32 + -2x)
(38(32 + -2x) + -2x * (32 + -2x)) = 600
((32 * 38 + -2x * 38) + -2x * (32 + -2x)) = 600
((1216 + -76x) + -2x * (32 + -2x)) = 600
(1216 + -76x + (32 * -2x + -2x * -2x)) = 600
(1216 + -76x + (-64x + 4x2)) = 600

Combine like terms: -76x + -64x = -140x
(1216 + -140x + 4x2) = 600

Solving
1216 + -140x + 4x2 = 600

Solving for variable 'x'.

Reorder the terms:
1216 + -600 + -140x + 4x2 = 600 + -600

Combine like terms: 1216 + -600 = 616
616 + -140x + 4x2 = 600 + -600

Combine like terms: 600 + -600 = 0
616 + -140x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(154 + -35x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(154 + -35x + x2)' equal to zero and attempt to solve:

Simplifying
154 + -35x + x2 = 0

Solving
154 + -35x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-154' to each side of the equation.
154 + -35x + -154 + x2 = 0 + -154

Reorder the terms:
154 + -154 + -35x + x2 = 0 + -154

Combine like terms: 154 + -154 = 0
0 + -35x + x2 = 0 + -154
-35x + x2 = 0 + -154

Combine like terms: 0 + -154 = -154
-35x + x2 = -154

The x term is -35x.  Take half its coefficient (-17.5).
Square it (306.25) and add it to both sides.

Add '306.25' to each side of the equation.
-35x + 306.25 + x2 = -154 + 306.25

Reorder the terms:
306.25 + -35x + x2 = -154 + 306.25

Combine like terms: -154 + 306.25 = 152.25
306.25 + -35x + x2 = 152.25

Factor a perfect square on the left side:
(x + -17.5)(x + -17.5) = 152.25

Calculate the square root of the right side: 12.338962679

Break this problem into two subproblems by setting 
(x + -17.5) equal to 12.338962679 and -12.338962679.


Subproblem 1
x + -17.5 = 12.338962679

Simplifying
x + -17.5 = 12.338962679

Reorder the terms:
-17.5 + x = 12.338962679

Solving
-17.5 + x = 12.338962679

Solving for variable 'x'.

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

Add '17.5' to each side of the equation.
-17.5 + 17.5 + x = 12.338962679 + 17.5

Combine like terms: -17.5 + 17.5 = 0.0
0.0 + x = 12.338962679 + 17.5
x = 12.338962679 + 17.5

Combine like terms: 12.338962679 + 17.5 = 29.838962679
x = 29.838962679

Simplifying
x = 29.838962679


Subproblem 2
x + -17.5 = -12.338962679

Simplifying
x + -17.5 = -12.338962679

Reorder the terms:
-17.5 + x = -12.338962679

Solving
-17.5 + x = -12.338962679

Solving for variable 'x'.

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

Add '17.5' to each side of the equation.
-17.5 + 17.5 + x = -12.338962679 + 17.5

Combine like terms: -17.5 + 17.5 = 0.0
0.0 + x = -12.338962679 + 17.5
x = -12.338962679 + 17.5

Combine like terms: -12.338962679 + 17.5 = 5.161037321
x = 5.161037321

Simplifying
x = 5.161037321


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {29.838962679, 5.161037321}
Solution
x = {29.838962679, 5.161037321}

See similar equations:

| -3(x+5)+2=-13 | | (k/2)+7.3=29.3 | | 2x+16=5x-35 | | m(2m+7)(3m-4)=0 | | -2y+12=-2(2y+2) | | x+x^2=-1 | | x+x^2= | | 13.7+-4.7=9.9+8.1t | | 2(-0.75)=y+3 | | -1=-5/3(1)+b | | X-2+6=8-x | | 4(2x+9)=-43+47 | | 121+x^2=0 | | 8x-3(4-x)=6(x+1)-x | | 3/5y-5=-2 | | 2x=6x+3 | | 525.00+0.21x=520 | | 57=26x | | 525.00+0.21x=550 | | 7-(2x-3)=5-3x | | 525.00+0.21x=630.00 | | 26=57x | | 525.00+0.21x=500 | | 4(t+5)=-36 | | 2y(x+z)=w | | 4(3+w)=3(w-5) | | -4x+4=-28 | | 10x^2-55x-30=0 | | 8(y+6)=7y-9 | | 8*x-5=24 | | 2x-16=90 | | 4x+8/2=22 |

Equations solver categories