(2+x)(200-20x)=720

Simple and best practice solution for (2+x)(200-20x)=720 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 (2+x)(200-20x)=720 equation:


Simplifying
(2 + x)(200 + -20x) = 720

Multiply (2 + x) * (200 + -20x)
(2(200 + -20x) + x(200 + -20x)) = 720
((200 * 2 + -20x * 2) + x(200 + -20x)) = 720
((400 + -40x) + x(200 + -20x)) = 720
(400 + -40x + (200 * x + -20x * x)) = 720
(400 + -40x + (200x + -20x2)) = 720

Combine like terms: -40x + 200x = 160x
(400 + 160x + -20x2) = 720

Solving
400 + 160x + -20x2 = 720

Solving for variable 'x'.

Reorder the terms:
400 + -720 + 160x + -20x2 = 720 + -720

Combine like terms: 400 + -720 = -320
-320 + 160x + -20x2 = 720 + -720

Combine like terms: 720 + -720 = 0
-320 + 160x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-16 + 8x + -1x2) = 0

Factor a trinomial.
20((-4 + x)(4 + -1x)) = 0

Ignore the factor 20.

Subproblem 1

Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4

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 = {4, 4}

See similar equations:

| 9x-19=98 | | 10/3=1/3 | | 6p+5=53 | | 0=-0.004x^2+x+2.5 | | 400+160x-20x^2=720 | | 21z-3(2z+14)=14z+11 | | 4x+3+6x=17 | | 5(x-9)=4x | | 5x-45=4x | | 4x^4-8x^3+5x^2-x-1=0 | | (4x^3-8x^2+5x-1)=0 | | 8y-9x-1=0 | | 15p+40= | | 5-p=-2 | | -19v-18=-16v+3 | | -19v-18=16v+3 | | 4v^3+6v^2-4v=0 | | 2y^2=32 | | 3x-7=9x+18 | | 2x+10=3x-22 | | 5(3n-1)=80 | | S=35+14t-2t | | rX^2-37x-36=0 | | 7x+1=3x+19 | | 7x-1=3x+19 | | 2x+(x-6)=3x-(4x-6) | | 18=3(25t+2) | | P(4)=x^3-4x^2+8 | | 6=10-2a | | 6x+1=x+7 | | 4=x-0.6 | | x^2(x^2+1)-3(2x^2+1)+9=0 |

Equations solver categories