(23-2x)(30-2x)=330

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Solution for (23-2x)(30-2x)=330 equation: 


Simplifying
(23 + -2x)(30 + -2x) = 330

Multiply (23 + -2x) * (30 + -2x)
(23(30 + -2x) + -2x * (30 + -2x)) = 330
((30 * 23 + -2x * 23) + -2x * (30 + -2x)) = 330
((690 + -46x) + -2x * (30 + -2x)) = 330
(690 + -46x + (30 * -2x + -2x * -2x)) = 330
(690 + -46x + (-60x + 4x2)) = 330

Combine like terms: -46x + -60x = -106x
(690 + -106x + 4x2) = 330

Solving
690 + -106x + 4x2 = 330

Solving for variable 'x'.

Reorder the terms:
690 + -330 + -106x + 4x2 = 330 + -330

Combine like terms: 690 + -330 = 360
360 + -106x + 4x2 = 330 + -330

Combine like terms: 330 + -330 = 0
360 + -106x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(180 + -53x + 2x2) = 0

Factor a trinomial.
2((4 + -1x)(45 + -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 '(45 + -2x)' equal to zero and attempt to solve:

Simplifying
45 + -2x = 0

Solving
45 + -2x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -2x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -2x = 0 + -45
-2x = 0 + -45

Combine like terms: 0 + -45 = -45
-2x = -45

Divide each side by '-2'.
x = 22.5

Simplifying
x = 22.5
Solution
x = {4, 22.5}

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