(x-8)(x-6)=

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Solution for (x-8)(x-6)= equation:


Simplifying
(x + -8)(x + -6) = 0

Reorder the terms:
(-8 + x)(x + -6) = 0

Reorder the terms:
(-8 + x)(-6 + x) = 0

Multiply (-8 + x) * (-6 + x)
(-8(-6 + x) + x(-6 + x)) = 0
((-6 * -8 + x * -8) + x(-6 + x)) = 0
((48 + -8x) + x(-6 + x)) = 0
(48 + -8x + (-6 * x + x * x)) = 0
(48 + -8x + (-6x + x2)) = 0

Combine like terms: -8x + -6x = -14x
(48 + -14x + x2) = 0

Solving
48 + -14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(8 + -1x) = 0

Subproblem 1

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

Subproblem 2

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

Solution

x = {6, 8}

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