1632=(14+2x)(28+2x)

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Solution for 1632=(14+2x)(28+2x) equation: 


Simplifying
1632 = (14 + 2x)(28 + 2x)

Multiply (14 + 2x) * (28 + 2x)
1632 = (14(28 + 2x) + 2x * (28 + 2x))
1632 = ((28 * 14 + 2x * 14) + 2x * (28 + 2x))
1632 = ((392 + 28x) + 2x * (28 + 2x))
1632 = (392 + 28x + (28 * 2x + 2x * 2x))
1632 = (392 + 28x + (56x + 4x2))

Combine like terms: 28x + 56x = 84x
1632 = (392 + 84x + 4x2)

Solving
1632 = 392 + 84x + 4x2

Solving for variable 'x'.

Combine like terms: 1632 + -392 = 1240
1240 + -84x + -4x2 = 392 + 84x + 4x2 + -392 + -84x + -4x2

Reorder the terms:
1240 + -84x + -4x2 = 392 + -392 + 84x + -84x + 4x2 + -4x2

Combine like terms: 392 + -392 = 0
1240 + -84x + -4x2 = 0 + 84x + -84x + 4x2 + -4x2
1240 + -84x + -4x2 = 84x + -84x + 4x2 + -4x2

Combine like terms: 84x + -84x = 0
1240 + -84x + -4x2 = 0 + 4x2 + -4x2
1240 + -84x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1240 + -84x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(310 + -21x + -1x2) = 0

Factor a trinomial.
4((10 + -1x)(31 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(31 + x)' equal to zero and attempt to solve:

Simplifying
31 + x = 0

Solving
31 + x = 0

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

Add '-31' to each side of the equation.
31 + -31 + x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + x = 0 + -31
x = 0 + -31

Combine like terms: 0 + -31 = -31
x = -31

Simplifying
x = -31
Solution
x = {10, -31}

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