(16-2x)(14-2x)=80

Simple and best practice solution for (16-2x)(14-2x)=80 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 (16-2x)(14-2x)=80 equation: 


Simplifying
(16 + -2x)(14 + -2x) = 80

Multiply (16 + -2x) * (14 + -2x)
(16(14 + -2x) + -2x * (14 + -2x)) = 80
((14 * 16 + -2x * 16) + -2x * (14 + -2x)) = 80
((224 + -32x) + -2x * (14 + -2x)) = 80
(224 + -32x + (14 * -2x + -2x * -2x)) = 80
(224 + -32x + (-28x + 4x2)) = 80

Combine like terms: -32x + -28x = -60x
(224 + -60x + 4x2) = 80

Solving
224 + -60x + 4x2 = 80

Solving for variable 'x'.

Reorder the terms:
224 + -80 + -60x + 4x2 = 80 + -80

Combine like terms: 224 + -80 = 144
144 + -60x + 4x2 = 80 + -80

Combine like terms: 80 + -80 = 0
144 + -60x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(36 + -15x + x2) = 0

Factor a trinomial.
4((3 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {3, 12}

See similar equations:

| 12+z=7 | | 8x-65=23 | | 37-5x=102 | | -12+8x=4(1+5x)+4x | | 2n+5=4(x+2)-n | | -33+12x=4x+79 | | 3(z+1)+11=-2(z+13) | | 5(x+4)-4x=18 | | 12/3/10/1=-6 | | r^2-2r=40+4r | | -44-7x=12 | | 15p=7(p-9) | | k^2+14k+13=0 | | -2(1+4n)=34+n | | a^2-4a=16+2a | | 20+4x=44r | | 14+23=x | | 2(x-2)=3(1+x) | | 17-w=8 | | 0.6(t+18)=-3(2-t) | | y-4.1=2.75 | | y=2.9+0.4x | | 57-(-3x+4)=5(x+7)+x | | 2x^3+x^2+4x-15=y | | 0.5+d=-3.2 | | 2(4x-3)=8x+2 | | 3x^2+3x=-5 | | -4+7a=-4-4(1-2a) | | 3x+y+3=26 | | x^3-13xL^2+30x=0 | | 6-3t=8t-14 | | 0.5+d=-31/5 |

Equations solver categories