(20-2x)(16-2x)=140

Simple and best practice solution for (20-2x)(16-2x)=140 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 (20-2x)(16-2x)=140 equation: 


Simplifying
(20 + -2x)(16 + -2x) = 140

Multiply (20 + -2x) * (16 + -2x)
(20(16 + -2x) + -2x * (16 + -2x)) = 140
((16 * 20 + -2x * 20) + -2x * (16 + -2x)) = 140
((320 + -40x) + -2x * (16 + -2x)) = 140
(320 + -40x + (16 * -2x + -2x * -2x)) = 140
(320 + -40x + (-32x + 4x2)) = 140

Combine like terms: -40x + -32x = -72x
(320 + -72x + 4x2) = 140

Solving
320 + -72x + 4x2 = 140

Solving for variable 'x'.

Reorder the terms:
320 + -140 + -72x + 4x2 = 140 + -140

Combine like terms: 320 + -140 = 180
180 + -72x + 4x2 = 140 + -140

Combine like terms: 140 + -140 = 0
180 + -72x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(45 + -18x + x2) = 0

Factor a trinomial.
4((3 + -1x)(15 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {3, 15}

See similar equations:

| 7-6x=21-2x | | -9h-5=93 | | 6s(2s-11)=47 | | G/3-7=17 | | T=-16t^2+32t+1008 | | 7+6x=7x-2 | | H(t)=-16t^2+32t+1008 | | x^2+18x+987=0 | | 24x^3+6x^2-24x=0 | | 4x^2+72x+3948=0 | | 4x^3-24x=1 | | 4x^3-24x+1=0 | | 4-3x+2x=18-2 | | (724*100)/2286 | | 18m=72/100 | | 3(3x-11)+7=2(3x-199)-x | | log[6](5x+4)=2 | | 3y^2-20j=-12 | | 4x+3y=195 | | e^5(x)=7 | | 5x+15=2.5(3x+4) | | h=-16t^2+35t+5 | | e(5x)=7 | | 17-3a=4c+3 | | X-3x-12=8x-56 | | 0.5p+0.2(10-p)=0 | | 3.4=20.4 | | 3(m-2)=-15 | | (16x-2)-180=(8x-9)+79 | | 8x-7/7-8x | | 2x+2y-160=0 | | -7/3=r |

Equations solver categories