(8+2x)(30+2x)=608

Simple and best practice solution for (8+2x)(30+2x)=608 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 (8+2x)(30+2x)=608 equation: 


Simplifying
(8 + 2x)(30 + 2x) = 608

Multiply (8 + 2x) * (30 + 2x)
(8(30 + 2x) + 2x * (30 + 2x)) = 608
((30 * 8 + 2x * 8) + 2x * (30 + 2x)) = 608
((240 + 16x) + 2x * (30 + 2x)) = 608
(240 + 16x + (30 * 2x + 2x * 2x)) = 608
(240 + 16x + (60x + 4x2)) = 608

Combine like terms: 16x + 60x = 76x
(240 + 76x + 4x2) = 608

Solving
240 + 76x + 4x2 = 608

Solving for variable 'x'.

Reorder the terms:
240 + -608 + 76x + 4x2 = 608 + -608

Combine like terms: 240 + -608 = -368
-368 + 76x + 4x2 = 608 + -608

Combine like terms: 608 + -608 = 0
-368 + 76x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-92 + 19x + x2) = 0

Factor a trinomial.
4((-23 + -1x)(4 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve:

Simplifying
-23 + -1x = 0

Solving
-23 + -1x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = 0 + 23
-1x = 0 + 23

Combine like terms: 0 + 23 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23

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 = {-23, 4}

See similar equations:

| 25x-250=25x+250 | | -4.9a+4.6-(2a+0.6)+3.6a= | | q+20=25 | | h+17=30 | | 2*x+27=3*x+20 | | (8y-6x)dx+(y-7x)dy=0 | | 10x+5=30 | | 1/x=(1/3) | | 1/2(4x+1/4)=2x+1/8 | | 7x^2+59x-29=0 | | 8-2r=r-28 | | 7x=9*(x-20) | | 3.6=1.6+24 | | 11(-9+n)=-231 | | -5.4=z-4.5 | | c=39.53x+.25 | | 36n+48=6+30n | | 5-2(x^2-3)= | | w+8=w-7 | | 30=18+k | | 3x+6=x+32 | | -4(t+3)=20 | | F(x)=8xln(5x)-8x | | 3x(x+8)=180 | | 39.53=c+0.25x | | x^2+3x-183=0 | | 2.5a=25 | | 2(x+y)=x-y | | 3*x+6=x+32 | | -6k-7=41 | | 16-(x+2)=11x | | 4u+4=8 |

Equations solver categories