(9-2x)(12-x)=50

Simple and best practice solution for (9-2x)(12-x)=50 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 (9-2x)(12-x)=50 equation: 


Simplifying
(9 + -2x)(12 + -1x) = 50

Multiply (9 + -2x) * (12 + -1x)
(9(12 + -1x) + -2x * (12 + -1x)) = 50
((12 * 9 + -1x * 9) + -2x * (12 + -1x)) = 50
((108 + -9x) + -2x * (12 + -1x)) = 50
(108 + -9x + (12 * -2x + -1x * -2x)) = 50
(108 + -9x + (-24x + 2x2)) = 50

Combine like terms: -9x + -24x = -33x
(108 + -33x + 2x2) = 50

Solving
108 + -33x + 2x2 = 50

Solving for variable 'x'.

Reorder the terms:
108 + -50 + -33x + 2x2 = 50 + -50

Combine like terms: 108 + -50 = 58
58 + -33x + 2x2 = 50 + -50

Combine like terms: 50 + -50 = 0
58 + -33x + 2x2 = 0

Factor a trinomial.
(2 + -1x)(29 + -2x) = 0


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 '(29 + -2x)' equal to zero and attempt to solve:

Simplifying
29 + -2x = 0

Solving
29 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-29' to each side of the equation.
29 + -29 + -2x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -2x = 0 + -29
-2x = 0 + -29

Combine like terms: 0 + -29 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5
Solution
x = {2, 14.5}

See similar equations:

| (9-x)(12-x)=50 | | -1.55-3.5g=-0.4g | | 19.87-19.4n=-4.3n-17.3n-19.07 | | 6(3-x)/5=x | | j-17.79=2.9j+13.56 | | -20-5-7m=20-4m | | X/12=2/5 | | -6(-5)=x | | -12w-17=-11w-1 | | 2=1/2(a-1)=-1 | | 5(x+3)-20=x+15 | | q^2-3q-13=0 | | -18.93-10.4c-11.8=19.35-20c | | 5p^2-3p-2=0 | | 5(10+7)3(15-7)4(x+9)= | | 15x+117=9x+9 | | s-1/4=7/4 | | .5x-.5x^2=-1 | | 2=2x-9y | | -6.92+0.8h=1.2h | | -30b^2+156b+378=0 | | 0=x^3-9x^2+20x | | 2ln(x+5)=ln(x+7)+ln(6) | | v=4r | | 18x^2+84xy-144y^2=0 | | 2x-14=3x+18 | | 9x+15y=33 | | (25x^6)/(45x^2) | | 10=-2w | | 6v^2=54 | | A-3b=25 | | z-5/4=7/4 |

Equations solver categories