17600=(90+5x)(200-10x)

Simple and best practice solution for 17600=(90+5x)(200-10x) 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 17600=(90+5x)(200-10x) equation:


Simplifying
17600 = (90 + 5x)(200 + -10x)

Multiply (90 + 5x) * (200 + -10x)
17600 = (90(200 + -10x) + 5x * (200 + -10x))
17600 = ((200 * 90 + -10x * 90) + 5x * (200 + -10x))
17600 = ((18000 + -900x) + 5x * (200 + -10x))
17600 = (18000 + -900x + (200 * 5x + -10x * 5x))
17600 = (18000 + -900x + (1000x + -50x2))

Combine like terms: -900x + 1000x = 100x
17600 = (18000 + 100x + -50x2)

Solving
17600 = 18000 + 100x + -50x2

Solving for variable 'x'.

Combine like terms: 17600 + -18000 = -400
-400 + -100x + 50x2 = 18000 + 100x + -50x2 + -18000 + -100x + 50x2

Reorder the terms:
-400 + -100x + 50x2 = 18000 + -18000 + 100x + -100x + -50x2 + 50x2

Combine like terms: 18000 + -18000 = 0
-400 + -100x + 50x2 = 0 + 100x + -100x + -50x2 + 50x2
-400 + -100x + 50x2 = 100x + -100x + -50x2 + 50x2

Combine like terms: 100x + -100x = 0
-400 + -100x + 50x2 = 0 + -50x2 + 50x2
-400 + -100x + 50x2 = -50x2 + 50x2

Combine like terms: -50x2 + 50x2 = 0
-400 + -100x + 50x2 = 0

Factor out the Greatest Common Factor (GCF), '50'.
50(-8 + -2x + x2) = 0

Factor a trinomial.
50((-2 + -1x)(4 + -1x)) = 0

Ignore the factor 50.

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

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 = {-2, 4}

See similar equations:

| 0.3(x+80)+0.3x=33 | | 0.05X-2(X+0.5)=1.2 | | (21b-9)-5(4b+1)=-3 | | 2(y-4x)2dx+xdy=0 | | 3+5*5= | | 0=x^2+22/3h-100 | | -1/9(x-27)+1/3(x+11)=x+11 | | 4.05p=10(p+3) | | 3+(5*5)= | | 10x+17=x-1 | | Log[5](4x-8)=3 | | ln((x+9)/(x-9))^1/7 | | 1+2(b+6)=5b-1 | | y+11.1=-5.5 | | 3/4(t+3)(8t-4) | | 1x+3x=2x+4 | | n=-6y+8/-4y+11 | | r+1=2 | | 3-2x-x^3=x | | 0.4(5+2x)+1.1x=3.5 | | N-78+N=37+N | | 2x+16=6x+4 | | N-78=37 | | -0.16(x-18)+0.3(x+3)=x-1 | | 0.14-00.1(x+2)=-0.02(3-x) | | 17.50x=125 | | 4x-5x^3+6x^2=0 | | 2(s+11)=5(s+3) | | 5x/12=6x/11-17 | | -9(5x-4)+3x=-7(3x+12)-x | | 3x+1+1/2x+3=18 | | 4(2x+8)+1=-3(7x-14x+2) |

Equations solver categories