(x-12)(x-12)=16

Simple and best practice solution for (x-12)(x-12)=16 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-12)=16 equation:


Simplifying
(x + -12)(x + -12) = 16

Reorder the terms:
(-12 + x)(x + -12) = 16

Reorder the terms:
(-12 + x)(-12 + x) = 16

Multiply (-12 + x) * (-12 + x)
(-12(-12 + x) + x(-12 + x)) = 16
((-12 * -12 + x * -12) + x(-12 + x)) = 16
((144 + -12x) + x(-12 + x)) = 16
(144 + -12x + (-12 * x + x * x)) = 16
(144 + -12x + (-12x + x2)) = 16

Combine like terms: -12x + -12x = -24x
(144 + -24x + x2) = 16

Solving
144 + -24x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
144 + -16 + -24x + x2 = 16 + -16

Combine like terms: 144 + -16 = 128
128 + -24x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
128 + -24x + x2 = 0

Factor a trinomial.
(8 + -1x)(16 + -1x) = 0

Subproblem 1

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Subproblem 2

Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 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 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Solution

x = {8, 16}

See similar equations:

| -1+(4x+9)=2x-(4+x) | | (4x-2)(x^2-6x+2)= | | -11+7x=13+8x | | 20=95+3y | | (12m+7)-(9m-8)= | | (2x+7)(8x^2+6x+5)= | | 2x-3x=3x-13 | | 9s+3=8s+10 | | 30x=90(x-3/4) | | 499=z-501 | | 50=30x-25 | | 0=-7x^2/3+2x/3-1 | | 62-3x=q | | q=62-3x | | y-05=075 | | sin(2x)+cos(2x)=0 | | 3x-19=100 | | 3a+(5a-b)-(7a+3b)=a-4b | | 3X+18=-6X-18 | | 2X+(3X-4)-2(5-X)=7x-14 | | 0=25x-10000 | | x+(-45)=19 | | x+(-6)=18 | | 45x+2kx+k=180 | | X+1/3x=20 | | ax+2ax+ax+2a=360 | | 2(1.33)+3(0.67)=7 | | 3x-5=9x-8 | | 4x-23=-26+x | | 1x-(-8)=7 | | (6c-7/8)^2 | | -4(3x-x)+6=2(x-3) |

Equations solver categories