(x-7)*(2x-16)=0

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Solution for (x-7)*(2x-16)=0 equation: 


Simplifying
(x + -7)(2x + -16) = 0

Reorder the terms:
(-7 + x)(2x + -16) = 0

Reorder the terms:
(-7 + x)(-16 + 2x) = 0

Multiply (-7 + x) * (-16 + 2x)
(-7(-16 + 2x) + x(-16 + 2x)) = 0
((-16 * -7 + 2x * -7) + x(-16 + 2x)) = 0
((112 + -14x) + x(-16 + 2x)) = 0
(112 + -14x + (-16 * x + 2x * x)) = 0
(112 + -14x + (-16x + 2x2)) = 0

Combine like terms: -14x + -16x = -30x
(112 + -30x + 2x2) = 0

Solving
112 + -30x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -15x + x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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 = {7, 8}

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