(10+2x)(8+2x)-80=208

Simple and best practice solution for (10+2x)(8+2x)-80=208 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 (10+2x)(8+2x)-80=208 equation: 


Simplifying
(10 + 2x)(8 + 2x) + -80 = 208

Multiply (10 + 2x) * (8 + 2x)
(10(8 + 2x) + 2x * (8 + 2x)) + -80 = 208
((8 * 10 + 2x * 10) + 2x * (8 + 2x)) + -80 = 208
((80 + 20x) + 2x * (8 + 2x)) + -80 = 208
(80 + 20x + (8 * 2x + 2x * 2x)) + -80 = 208
(80 + 20x + (16x + 4x2)) + -80 = 208

Combine like terms: 20x + 16x = 36x
(80 + 36x + 4x2) + -80 = 208

Reorder the terms:
80 + -80 + 36x + 4x2 = 208

Combine like terms: 80 + -80 = 0
0 + 36x + 4x2 = 208
36x + 4x2 = 208

Solving
36x + 4x2 = 208

Solving for variable 'x'.

Reorder the terms:
-208 + 36x + 4x2 = 208 + -208

Combine like terms: 208 + -208 = 0
-208 + 36x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-52 + 9x + x2) = 0

Factor a trinomial.
4((-13 + -1x)(4 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-13, 4}

See similar equations:

| 4(x-3)+6=2(x+9) | | -7-9=6x+8-5x | | 3/4x-9=1 | | [2s-1]2=225 | | a-5*a+3= | | 3y-8/12=7/5 | | 1-13=z/-8 | | [k+7]*2=289 | | (10+2x)(8+2x)-80=0 | | 5x^3+16x^2=3x | | ln(2x-1)=9 | | -8-6(x-2)=-13x+6(x-5) | | (2x+y)=3y+2x | | 5/3=n/12 | | a^2-2ab-3b^2= | | -6x+16x-16-4=7x+4x+8 | | x^4+3x=210 | | 0.5*y^2+10*y+5=0 | | 8-x+3x-2x-8x= | | 7x+5-8x=-1-4x-6 | | 0=42x | | 2y-2-2x=0 | | 1090=105x-209452 | | 9x^2+y^2-2y=80 | | 18-2=x | | [x-4]*2=169 | | (9x-6)/(21x-14) | | 0.5x+0.45(10)=0.25(72) | | 0-5x/-3 | | 1+8(M+2)=5M | | 0.3x+0.30(70)=0.15(48) | | x*x*x=x*x+105 |

Equations solver categories