(16+2x)*(10+2x)=20*14

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Solution for (16+2x)*(10+2x)=20*14 equation: 


Simplifying
(16 + 2x)(10 + 2x) = 20 * 14

Multiply (16 + 2x) * (10 + 2x)
(16(10 + 2x) + 2x * (10 + 2x)) = 20 * 14
((10 * 16 + 2x * 16) + 2x * (10 + 2x)) = 20 * 14
((160 + 32x) + 2x * (10 + 2x)) = 20 * 14
(160 + 32x + (10 * 2x + 2x * 2x)) = 20 * 14
(160 + 32x + (20x + 4x2)) = 20 * 14

Combine like terms: 32x + 20x = 52x
(160 + 52x + 4x2) = 20 * 14

Multiply 20 * 14
160 + 52x + 4x2 = 280

Solving
160 + 52x + 4x2 = 280

Solving for variable 'x'.

Reorder the terms:
160 + -280 + 52x + 4x2 = 280 + -280

Combine like terms: 160 + -280 = -120
-120 + 52x + 4x2 = 280 + -280

Combine like terms: 280 + -280 = 0
-120 + 52x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-30 + 13x + x2) = 0

Factor a trinomial.
4((-15 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

Subproblem 2
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
Solution
x = {-15, 2}

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