14(21x+7w-12x)3(15w-6x)=58w+-15

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Solution for 14(21x+7w-12x)3(15w-6x)=58w+-15 equation:


Simplifying
14(21x + 7w + -12x) * 3(15w + -6x) = 58w + -15

Reorder the terms:
14(7w + 21x + -12x) * 3(15w + -6x) = 58w + -15

Combine like terms: 21x + -12x = 9x
14(7w + 9x) * 3(15w + -6x) = 58w + -15

Reorder the terms for easier multiplication:
14 * 3(7w + 9x)(15w + -6x) = 58w + -15

Multiply 14 * 3
42(7w + 9x)(15w + -6x) = 58w + -15

Multiply (7w + 9x) * (15w + -6x)
42(7w * (15w + -6x) + 9x * (15w + -6x)) = 58w + -15
42((15w * 7w + -6x * 7w) + 9x * (15w + -6x)) = 58w + -15

Reorder the terms:
42((-42wx + 105w2) + 9x * (15w + -6x)) = 58w + -15
42((-42wx + 105w2) + 9x * (15w + -6x)) = 58w + -15
42(-42wx + 105w2 + (15w * 9x + -6x * 9x)) = 58w + -15
42(-42wx + 105w2 + (135wx + -54x2)) = 58w + -15

Reorder the terms:
42(-42wx + 135wx + 105w2 + -54x2) = 58w + -15

Combine like terms: -42wx + 135wx = 93wx
42(93wx + 105w2 + -54x2) = 58w + -15
(93wx * 42 + 105w2 * 42 + -54x2 * 42) = 58w + -15
(3906wx + 4410w2 + -2268x2) = 58w + -15

Reorder the terms:
3906wx + 4410w2 + -2268x2 = -15 + 58w

Solving
3906wx + 4410w2 + -2268x2 = -15 + 58w

Solving for variable 'w'.

Reorder the terms:
15 + -58w + 3906wx + 4410w2 + -2268x2 = -15 + 58w + 15 + -58w

Reorder the terms:
15 + -58w + 3906wx + 4410w2 + -2268x2 = -15 + 15 + 58w + -58w

Combine like terms: -15 + 15 = 0
15 + -58w + 3906wx + 4410w2 + -2268x2 = 0 + 58w + -58w
15 + -58w + 3906wx + 4410w2 + -2268x2 = 58w + -58w

Combine like terms: 58w + -58w = 0
15 + -58w + 3906wx + 4410w2 + -2268x2 = 0

The solution to this equation could not be determined.

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