(x-2)(x-16)=

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Solution for (x-2)(x-16)= equation:


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

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

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

Multiply (-2 + x) * (-16 + x)
(-2(-16 + x) + x(-16 + x)) = 0
((-16 * -2 + x * -2) + x(-16 + x)) = 0
((32 + -2x) + x(-16 + x)) = 0
(32 + -2x + (-16 * x + x * x)) = 0
(32 + -2x + (-16x + x2)) = 0

Combine like terms: -2x + -16x = -18x
(32 + -18x + x2) = 0

Solving
32 + -18x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(16 + -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 '(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 = {2, 16}

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