(16-2x)(14-2x)=143

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Solution for (16-2x)(14-2x)=143 equation: 


Simplifying
(16 + -2x)(14 + -2x) = 143

Multiply (16 + -2x) * (14 + -2x)
(16(14 + -2x) + -2x * (14 + -2x)) = 143
((14 * 16 + -2x * 16) + -2x * (14 + -2x)) = 143
((224 + -32x) + -2x * (14 + -2x)) = 143
(224 + -32x + (14 * -2x + -2x * -2x)) = 143
(224 + -32x + (-28x + 4x2)) = 143

Combine like terms: -32x + -28x = -60x
(224 + -60x + 4x2) = 143

Solving
224 + -60x + 4x2 = 143

Solving for variable 'x'.

Reorder the terms:
224 + -143 + -60x + 4x2 = 143 + -143

Combine like terms: 224 + -143 = 81
81 + -60x + 4x2 = 143 + -143

Combine like terms: 143 + -143 = 0
81 + -60x + 4x2 = 0

Factor a trinomial.
(3 + -2x)(27 + -2x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(27 + -2x)' equal to zero and attempt to solve:

Simplifying
27 + -2x = 0

Solving
27 + -2x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -2x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = 0 + -27
-2x = 0 + -27

Combine like terms: 0 + -27 = -27
-2x = -27

Divide each side by '-2'.
x = 13.5

Simplifying
x = 13.5
Solution
x = {1.5, 13.5}

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