(x-12)(x-4)=9

Simple and best practice solution for (x-12)(x-4)=9 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-12)(x-4)=9 equation: 


Simplifying
(x + -12)(x + -4) = 9

Reorder the terms:
(-12 + x)(x + -4) = 9

Reorder the terms:
(-12 + x)(-4 + x) = 9

Multiply (-12 + x) * (-4 + x)
(-12(-4 + x) + x(-4 + x)) = 9
((-4 * -12 + x * -12) + x(-4 + x)) = 9
((48 + -12x) + x(-4 + x)) = 9
(48 + -12x + (-4 * x + x * x)) = 9
(48 + -12x + (-4x + x2)) = 9

Combine like terms: -12x + -4x = -16x
(48 + -16x + x2) = 9

Solving
48 + -16x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
48 + -9 + -16x + x2 = 9 + -9

Combine like terms: 48 + -9 = 39
39 + -16x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
39 + -16x + x2 = 0

Factor a trinomial.
(3 + -1x)(13 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {3, 13}

See similar equations:

| 20x=6.99 | | 0=4x(x+2) | | 92+y=-20 | | 40x+14(1.5x)=1250 | | 20o=6.99 | | 12w=168 | | 40x*14(1.5x)=1250 | | 11(-5-7b)=-11(6b+7) | | 10592*0.015=x | | =t^2-2 | | 3d+3d=3d+5 | | 18u=2(8u-6)-14 | | -2x+6+3x=4 | | 18+3(-6v+6)=18-18v+18 | | 3(-4j+4)=12-12j | | =u^2-4u+3v^2-7u-21v | | 4+4h-14=4(h+3) | | x/23=276 | | 2(20y+20)=-5(-8y-8) | | 6-2d=12 | | 5c-4c+7=6 | | -13m=-10+2(-7m-5) | | -9-2(12r+2)=-15r-13-9r | | 16+12q=2(6q+8) | | 168=d/360 | | -6=b/30 | | 2x+5+2x=0 | | -15x-29=-3x+4-x | | 4(12p+6)=3(8+16p) | | -2.6z+4.09-6.9z=-9.5z+4.09 | | -6=b/3 | | (x*0.15)+x=216 |

Equations solver categories