(x-2)(x-2)-16=0

Simple and best practice solution for (x-2)(x-2)-16=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-2)(x-2)-16=0 equation:


Simplifying
(x + -2)(x + -2) + -16 = 0

Reorder the terms:
(-2 + x)(x + -2) + -16 = 0

Reorder the terms:
(-2 + x)(-2 + x) + -16 = 0

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x)) + -16 = 0
((-2 * -2 + x * -2) + x(-2 + x)) + -16 = 0
((4 + -2x) + x(-2 + x)) + -16 = 0
(4 + -2x + (-2 * x + x * x)) + -16 = 0
(4 + -2x + (-2x + x2)) + -16 = 0

Combine like terms: -2x + -2x = -4x
(4 + -4x + x2) + -16 = 0

Reorder the terms:
4 + -16 + -4x + x2 = 0

Combine like terms: 4 + -16 = -12
-12 + -4x + x2 = 0

Solving
-12 + -4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(6 + -1x) = 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 '(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

Solution

x = {-2, 6}

See similar equations:

| (x-2)(x-2)+16=0 | | (x-2)(x-2)-9=0 | | 4-3(t+2)+t=5(t-1)-7t | | 4a^2-20a+25=0 | | 7x^2-4x+28=0 | | (x-2)(x-2)-1=0 | | 4x-(3-2x)-3=6 | | 4h^2+4h+1=0 | | u^2-10u+25=0 | | 4+4x=22+x | | v^2+6v+9=0 | | 7=7(8x+9) | | 10x+9=7x-3 | | 8c-c+b+3b= | | 4x+(3-2x)-3=6 | | 3m-18m^2=0 | | 7y+5y^2=0 | | 4x-8=2x+2 | | 6x-12x^2=0 | | 2x+9=x+31 | | m^2-9m+18=0 | | 3(x+2)-(5-x)=3x+19 | | 3p^2-10p-8=0 | | 3p^2=2(5p+4) | | 2(3x-4)-2x=2(x+1) | | 221-2x=43x+21 | | 14-8x=43-15x | | 2x=1-x | | 5(2x-x)=x-7 | | 3x+3=x+17 | | 5x+7=x+19 | | 135-5x=4x+9 |

Equations solver categories