(6x-4)(3x-5)=18x^2+n+20

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Solution for (6x-4)(3x-5)=18x^2+n+20 equation: 


Simplifying
(6x + -4)(3x + -5) = 18x2 + n + 20

Reorder the terms:
(-4 + 6x)(3x + -5) = 18x2 + n + 20

Reorder the terms:
(-4 + 6x)(-5 + 3x) = 18x2 + n + 20

Multiply (-4 + 6x) * (-5 + 3x)
(-4(-5 + 3x) + 6x * (-5 + 3x)) = 18x2 + n + 20
((-5 * -4 + 3x * -4) + 6x * (-5 + 3x)) = 18x2 + n + 20
((20 + -12x) + 6x * (-5 + 3x)) = 18x2 + n + 20
(20 + -12x + (-5 * 6x + 3x * 6x)) = 18x2 + n + 20
(20 + -12x + (-30x + 18x2)) = 18x2 + n + 20

Combine like terms: -12x + -30x = -42x
(20 + -42x + 18x2) = 18x2 + n + 20

Reorder the terms:
20 + -42x + 18x2 = 20 + n + 18x2

Add '-20' to each side of the equation.
20 + -42x + -20 + 18x2 = 20 + n + -20 + 18x2

Reorder the terms:
20 + -20 + -42x + 18x2 = 20 + n + -20 + 18x2

Combine like terms: 20 + -20 = 0
0 + -42x + 18x2 = 20 + n + -20 + 18x2
-42x + 18x2 = 20 + n + -20 + 18x2

Reorder the terms:
-42x + 18x2 = 20 + -20 + n + 18x2

Combine like terms: 20 + -20 = 0
-42x + 18x2 = 0 + n + 18x2
-42x + 18x2 = n + 18x2

Add '-18x2' to each side of the equation.
-42x + 18x2 + -18x2 = n + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-42x + 0 = n + 18x2 + -18x2
-42x = n + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-42x = n + 0
-42x = n

Solving
-42x = n

Solving for variable 'x'.

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

Divide each side by '-42'.
x = -0.02380952381n

Simplifying
x = -0.02380952381n

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