(80-2x)(40-2x)=0

Simple and best practice solution for (80-2x)(40-2x)=0 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 (80-2x)(40-2x)=0 equation: 


Simplifying
(80 + -2x)(40 + -2x) = 0

Multiply (80 + -2x) * (40 + -2x)
(80(40 + -2x) + -2x * (40 + -2x)) = 0
((40 * 80 + -2x * 80) + -2x * (40 + -2x)) = 0
((3200 + -160x) + -2x * (40 + -2x)) = 0
(3200 + -160x + (40 * -2x + -2x * -2x)) = 0
(3200 + -160x + (-80x + 4x2)) = 0

Combine like terms: -160x + -80x = -240x
(3200 + -240x + 4x2) = 0

Solving
3200 + -240x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(800 + -60x + x2) = 0

Factor a trinomial.
4((20 + -1x)(40 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve:

Simplifying
40 + -1x = 0

Solving
40 + -1x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 0 + -40
-1x = 0 + -40

Combine like terms: 0 + -40 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40
Solution
x = {20, 40}

See similar equations:

| (80-2x)(40-2x)=1 | | 25b=15 | | y=0.55*18 | | 8n-1=5n-10+4n | | 7.68=3v | | y=0.55*12 | | -1x+8=19 | | 8x+24=5x+12 | | 8m+6=44 | | 6n-15=9 | | -9u+4=-10u | | y=0.55*6 | | 2c=3c+4 | | -54+x=122+12x | | 1/8^g | | 3+9=-4(2x-3) | | 7/18-1/3 | | 4q=7q+9 | | 4x+2x+8+4=0 | | 7x+73=6x+86 | | (16+x)=5x | | -3+9j=10j-10 | | 100z^9+50z^6-75z^5=0 | | 2b=b-6 | | s-10=15 | | 2t-3t+8=3t | | -66+11x=32+4x | | (X+16)=5x | | 15+y=15 | | 2w=17m+8 | | -9/10x=1/2 | | X+5(5)=20 |

Equations solver categories