(16+2x)(28+2x)=748

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Solution for (16+2x)(28+2x)=748 equation: 


Simplifying
(16 + 2x)(28 + 2x) = 748

Multiply (16 + 2x) * (28 + 2x)
(16(28 + 2x) + 2x * (28 + 2x)) = 748
((28 * 16 + 2x * 16) + 2x * (28 + 2x)) = 748
((448 + 32x) + 2x * (28 + 2x)) = 748
(448 + 32x + (28 * 2x + 2x * 2x)) = 748
(448 + 32x + (56x + 4x2)) = 748

Combine like terms: 32x + 56x = 88x
(448 + 88x + 4x2) = 748

Solving
448 + 88x + 4x2 = 748

Solving for variable 'x'.

Reorder the terms:
448 + -748 + 88x + 4x2 = 748 + -748

Combine like terms: 448 + -748 = -300
-300 + 88x + 4x2 = 748 + -748

Combine like terms: 748 + -748 = 0
-300 + 88x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-75 + 22x + x2) = 0

Factor a trinomial.
4((-25 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve:

Simplifying
-25 + -1x = 0

Solving
-25 + -1x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 0 + 25
-1x = 0 + 25

Combine like terms: 0 + 25 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-25, 3}

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