(16-2x)(14-2x)=0

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Solution for (16-2x)(14-2x)=0 equation: 


Simplifying
(16 + -2x)(14 + -2x) = 0

Multiply (16 + -2x) * (14 + -2x)
(16(14 + -2x) + -2x * (14 + -2x)) = 0
((14 * 16 + -2x * 16) + -2x * (14 + -2x)) = 0
((224 + -32x) + -2x * (14 + -2x)) = 0
(224 + -32x + (14 * -2x + -2x * -2x)) = 0
(224 + -32x + (-28x + 4x2)) = 0

Combine like terms: -32x + -28x = -60x
(224 + -60x + 4x2) = 0

Solving
224 + -60x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(56 + -15x + x2) = 0

Factor a trinomial.
4((7 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

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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