(x-6)(x-8)=288

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Solution for (x-6)(x-8)=288 equation: 


Simplifying
(x + -6)(x + -8) = 288

Reorder the terms:
(-6 + x)(x + -8) = 288

Reorder the terms:
(-6 + x)(-8 + x) = 288

Multiply (-6 + x) * (-8 + x)
(-6(-8 + x) + x(-8 + x)) = 288
((-8 * -6 + x * -6) + x(-8 + x)) = 288
((48 + -6x) + x(-8 + x)) = 288
(48 + -6x + (-8 * x + x * x)) = 288
(48 + -6x + (-8x + x2)) = 288

Combine like terms: -6x + -8x = -14x
(48 + -14x + x2) = 288

Solving
48 + -14x + x2 = 288

Solving for variable 'x'.

Reorder the terms:
48 + -288 + -14x + x2 = 288 + -288

Combine like terms: 48 + -288 = -240
-240 + -14x + x2 = 288 + -288

Combine like terms: 288 + -288 = 0
-240 + -14x + x2 = 0

Factor a trinomial.
(-10 + -1x)(24 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-10, 24}

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