(7x-14)(x-8)=0

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Solution for (7x-14)(x-8)=0 equation: 


Simplifying
(7x + -14)(x + -8) = 0

Reorder the terms:
(-14 + 7x)(x + -8) = 0

Reorder the terms:
(-14 + 7x)(-8 + x) = 0

Multiply (-14 + 7x) * (-8 + x)
(-14(-8 + x) + 7x * (-8 + x)) = 0
((-8 * -14 + x * -14) + 7x * (-8 + x)) = 0
((112 + -14x) + 7x * (-8 + x)) = 0
(112 + -14x + (-8 * 7x + x * 7x)) = 0
(112 + -14x + (-56x + 7x2)) = 0

Combine like terms: -14x + -56x = -70x
(112 + -70x + 7x2) = 0

Solving
112 + -70x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(16 + -10x + x2) = 0

Factor a trinomial.
7((2 + -1x)(8 + -1x)) = 0

Ignore the factor 7.

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 '(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 = {2, 8}

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