1496=(40-2x)(30-2x)

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Solution for 1496=(40-2x)(30-2x) equation: 


Simplifying
1496 = (40 + -2x)(30 + -2x)

Multiply (40 + -2x) * (30 + -2x)
1496 = (40(30 + -2x) + -2x * (30 + -2x))
1496 = ((30 * 40 + -2x * 40) + -2x * (30 + -2x))
1496 = ((1200 + -80x) + -2x * (30 + -2x))
1496 = (1200 + -80x + (30 * -2x + -2x * -2x))
1496 = (1200 + -80x + (-60x + 4x2))

Combine like terms: -80x + -60x = -140x
1496 = (1200 + -140x + 4x2)

Solving
1496 = 1200 + -140x + 4x2

Solving for variable 'x'.

Combine like terms: 1496 + -1200 = 296
296 + 140x + -4x2 = 1200 + -140x + 4x2 + -1200 + 140x + -4x2

Reorder the terms:
296 + 140x + -4x2 = 1200 + -1200 + -140x + 140x + 4x2 + -4x2

Combine like terms: 1200 + -1200 = 0
296 + 140x + -4x2 = 0 + -140x + 140x + 4x2 + -4x2
296 + 140x + -4x2 = -140x + 140x + 4x2 + -4x2

Combine like terms: -140x + 140x = 0
296 + 140x + -4x2 = 0 + 4x2 + -4x2
296 + 140x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
296 + 140x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(74 + 35x + -1x2) = 0

Factor a trinomial.
4((37 + -1x)(2 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(37 + -1x)' equal to zero and attempt to solve:

Simplifying
37 + -1x = 0

Solving
37 + -1x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -1x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -1x = 0 + -37
-1x = 0 + -37

Combine like terms: 0 + -37 = -37
-1x = -37

Divide each side by '-1'.
x = 37

Simplifying
x = 37

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {37, -2}

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