(30-2x)(17-2x)=198

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Solution for (30-2x)(17-2x)=198 equation: 


Simplifying
(30 + -2x)(17 + -2x) = 198

Multiply (30 + -2x) * (17 + -2x)
(30(17 + -2x) + -2x * (17 + -2x)) = 198
((17 * 30 + -2x * 30) + -2x * (17 + -2x)) = 198
((510 + -60x) + -2x * (17 + -2x)) = 198
(510 + -60x + (17 * -2x + -2x * -2x)) = 198
(510 + -60x + (-34x + 4x2)) = 198

Combine like terms: -60x + -34x = -94x
(510 + -94x + 4x2) = 198

Solving
510 + -94x + 4x2 = 198

Solving for variable 'x'.

Reorder the terms:
510 + -198 + -94x + 4x2 = 198 + -198

Combine like terms: 510 + -198 = 312
312 + -94x + 4x2 = 198 + -198

Combine like terms: 198 + -198 = 0
312 + -94x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(156 + -47x + 2x2) = 0

Factor a trinomial.
2((4 + -1x)(39 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(39 + -2x)' equal to zero and attempt to solve:

Simplifying
39 + -2x = 0

Solving
39 + -2x = 0

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

Add '-39' to each side of the equation.
39 + -39 + -2x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -2x = 0 + -39
-2x = 0 + -39

Combine like terms: 0 + -39 = -39
-2x = -39

Divide each side by '-2'.
x = 19.5

Simplifying
x = 19.5
Solution
x = {4, 19.5}

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