(x-6)*(x-6)=16

Simple and best practice solution for (x-6)*(x-6)=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-6)*(x-6)=16 equation:


Simplifying
(x + -6)(x + -6) = 16

Reorder the terms:
(-6 + x)(x + -6) = 16

Reorder the terms:
(-6 + x)(-6 + x) = 16

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = 16
((-6 * -6 + x * -6) + x(-6 + x)) = 16
((36 + -6x) + x(-6 + x)) = 16
(36 + -6x + (-6 * x + x * x)) = 16
(36 + -6x + (-6x + x2)) = 16

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = 16

Solving
36 + -12x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
36 + -16 + -12x + x2 = 16 + -16

Combine like terms: 36 + -16 = 20
20 + -12x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
20 + -12x + x2 = 0

Factor a trinomial.
(2 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {2, 10}

See similar equations:

| 3x+3y=14-4x | | x*x+5x-24=0 | | (8+x)(6x-3)= | | -48=-16r | | z+3=-17 | | (3x-2)(3x-2)=x | | 6*x*x=11x+2 | | 15b=105 | | 48=12x | | 17+15+5x=45 | | -2x+4y=26 | | -2(3s-6)-12=-2(8s+6)-2 | | -27=3b | | r=55+0.12d | | 13y=4(3y-6) | | 5y=4(y+7) | | -70=-14a | | 9(6)-5=6(6)+13 | | (9x+8)*(9x+8)=9 | | -9q=45 | | 6*x*x+12x=-2 | | 7(x+3)+9=11x-4(x-3) | | 13x^3-11x^2-2x=0 | | 0=-.000234x(x-160) | | 8x+52=180 | | 3b+6=13 | | -3a+3=-21 | | (9x-8)*(9x+8)=9 | | (4x-1)(2x+3)=3x | | -8t=-32 | | 0.285k-0.375=-2.375 | | 6(x)*(x)+12x=-2 |

Equations solver categories