2784=(40+2x)(30+2x)

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Solution for 2784=(40+2x)(30+2x) equation: 


Simplifying
2784 = (40 + 2x)(30 + 2x)

Multiply (40 + 2x) * (30 + 2x)
2784 = (40(30 + 2x) + 2x * (30 + 2x))
2784 = ((30 * 40 + 2x * 40) + 2x * (30 + 2x))
2784 = ((1200 + 80x) + 2x * (30 + 2x))
2784 = (1200 + 80x + (30 * 2x + 2x * 2x))
2784 = (1200 + 80x + (60x + 4x2))

Combine like terms: 80x + 60x = 140x
2784 = (1200 + 140x + 4x2)

Solving
2784 = 1200 + 140x + 4x2

Solving for variable 'x'.

Combine like terms: 2784 + -1200 = 1584
1584 + -140x + -4x2 = 1200 + 140x + 4x2 + -1200 + -140x + -4x2

Reorder the terms:
1584 + -140x + -4x2 = 1200 + -1200 + 140x + -140x + 4x2 + -4x2

Combine like terms: 1200 + -1200 = 0
1584 + -140x + -4x2 = 0 + 140x + -140x + 4x2 + -4x2
1584 + -140x + -4x2 = 140x + -140x + 4x2 + -4x2

Combine like terms: 140x + -140x = 0
1584 + -140x + -4x2 = 0 + 4x2 + -4x2
1584 + -140x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1584 + -140x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(396 + -35x + -1x2) = 0

Factor a trinomial.
4((9 + -1x)(44 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(44 + x)' equal to zero and attempt to solve:

Simplifying
44 + x = 0

Solving
44 + x = 0

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

Add '-44' to each side of the equation.
44 + -44 + x = 0 + -44

Combine like terms: 44 + -44 = 0
0 + x = 0 + -44
x = 0 + -44

Combine like terms: 0 + -44 = -44
x = -44

Simplifying
x = -44
Solution
x = {9, -44}

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