(21-x)(20-x)=210

Simple and best practice solution for (21-x)(20-x)=210 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 (21-x)(20-x)=210 equation:


Simplifying
(21 + -1x)(20 + -1x) = 210

Multiply (21 + -1x) * (20 + -1x)
(21(20 + -1x) + -1x * (20 + -1x)) = 210
((20 * 21 + -1x * 21) + -1x * (20 + -1x)) = 210
((420 + -21x) + -1x * (20 + -1x)) = 210
(420 + -21x + (20 * -1x + -1x * -1x)) = 210
(420 + -21x + (-20x + 1x2)) = 210

Combine like terms: -21x + -20x = -41x
(420 + -41x + 1x2) = 210

Solving
420 + -41x + 1x2 = 210

Solving for variable 'x'.

Reorder the terms:
420 + -210 + -41x + 1x2 = 210 + -210

Combine like terms: 420 + -210 = 210
210 + -41x + 1x2 = 210 + -210

Combine like terms: 210 + -210 = 0
210 + -41x + 1x2 = 0

Factor a trinomial.
(6 + -1x)(35 + -1x) = 0

Subproblem 1

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Subproblem 2

Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35

Solution

x = {6, 35}

See similar equations:

| z/5-6=9/4 | | x/3+7=-4 | | -(5r+5)=-8(r+4) | | (3+9i)/(5+1) | | -9+k/9=1 | | 3x+7x=2(9x-4) | | 8x+5-2x+1=0 | | n+n+1+n-1=57 | | 1=-4+n/3 | | -4(y-1)-1=2(2y-3) | | -2p+18=7(4p-6) | | 84=2r+4(1-3r) | | 3+2+x=16 | | -2(1-8x)=18-4x | | 2(r-7)=-20-4r | | 2(v+2)-v=3(w-1)+9 | | n/14-1=-2 | | 8*8*8*8*8= | | 8*8*8*8*8= | | -4b-18=7(-b-6) | | -19+v=-44 | | t=8x+16 | | -19+v=-34 | | f(-6)=x^2-x+5 | | -6x-5(5-2x)=-25-5x | | (5x^7/3)-15=0 | | y/11+4=-16 | | (n-7)=-11 | | x^2+5x^2-25x-125=0 | | 15/5-6(2-4)3+1 | | 5x^7/3-15=0 | | -3x+13=-3(x-3) |

Equations solver categories