(x-3)(16-x)=0

Simple and best practice solution for (x-3)(16-x)=0 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-3)(16-x)=0 equation:


Simplifying
(x + -3)(16 + -1x) = 0

Reorder the terms:
(-3 + x)(16 + -1x) = 0

Multiply (-3 + x) * (16 + -1x)
(-3(16 + -1x) + x(16 + -1x)) = 0
((16 * -3 + -1x * -3) + x(16 + -1x)) = 0
((-48 + 3x) + x(16 + -1x)) = 0
(-48 + 3x + (16 * x + -1x * x)) = 0
(-48 + 3x + (16x + -1x2)) = 0

Combine like terms: 3x + 16x = 19x
(-48 + 19x + -1x2) = 0

Solving
-48 + 19x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-16 + x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {16, 3}

See similar equations:

| 5x-10+20=15x-30+10 | | x-0.005x=12 | | a/b=8 | | 13/56 | | 194-y=294 | | -5(2m+5)+7=4(1-2m) | | 13x-6=2(5x+4)+3x | | y=0.5(2)-3 | | -12=2y-2 | | e-2x+9=13 | | y=0.5(1)-3 | | y=0.5(0)-3 | | 20x^3+4x^2+15x+3=0 | | x-3x+9=7 | | ln(10-4x)=ln(10-3x) | | 100=-5(-5b+5) | | y=0.5(-1)-3 | | 3x^2+19x=-20 | | -1x=-3 | | Sin(tan(qrs(3x^2+4)))=y | | 26/54=p | | 4^2x(2^6y)=1/4 | | X-32=5x | | m+2.5=4.6 | | 8x/40 | | 10m+8=8 | | 8=-7/y-2 | | x^2+50=25 | | 8x=1/32 | | 4-2/5x= | | 26/54=x/162 | | -2-26=-6x+30 |

Equations solver categories