x(100-x)=2500

Simple and best practice solution for x(100-x)=2500 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 x(100-x)=2500 equation:


Simplifying
x(100 + -1x) = 2500
(100 * x + -1x * x) = 2500
(100x + -1x2) = 2500

Solving
100x + -1x2 = 2500

Solving for variable 'x'.

Reorder the terms:
-2500 + 100x + -1x2 = 2500 + -2500

Combine like terms: 2500 + -2500 = 0
-2500 + 100x + -1x2 = 0

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

Subproblem 1

Set the factor '(-50 + x)' equal to zero and attempt to solve: Simplifying -50 + x = 0 Solving -50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + x = 0 + 50 x = 0 + 50 Combine like terms: 0 + 50 = 50 x = 50 Simplifying x = 50

Subproblem 2

Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50

Solution

x = {50, 50}

See similar equations:

| -3(-3)+2-1-3(-3)= | | 3x-8=37 | | x+(4x/10)=150 | | 4x-14=28 | | 0.97=c/-2 | | 20=10+x | | 3a^2-7a+6-4a^2-3a+4= | | 12-m=9 | | 13x-2(x+4)=8x | | 9(7x-4)=48 | | X/-2+2=5 | | -4=2x/-5 | | 2x-3andx+4= | | 24/-3/2 | | 20x-5(-3)=-30 | | 7x-11=24 | | n=5x*2 | | 4x-(-5)=42 | | -21-4x=-30 | | 68+12=-92-x | | 68+12=-92-8 | | -x+2(13+0)=x | | 2r-5=r-12 | | 12=2(b+3) | | -9x+10(23+10)=x | | 5x-10=5x-8 | | 4x=9(2)+6 | | 5x-4=6x-4 | | 7y+2x=185 | | 18x+51=-39 | | -8x-64= | | 3t/4-6=-4 |

Equations solver categories