3x+4x(x^2-5x^2)+6=22-6x(7+3x)

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Solution for 3x+4x(x^2-5x^2)+6=22-6x(7+3x) equation:


Simplifying
3x + 4x(x2 + -5x2) + 6 = 22 + -6x(7 + 3x)

Combine like terms: x2 + -5x2 = -4x2
3x + 4x(-4x2) + 6 = 22 + -6x(7 + 3x)

Remove parenthesis around (-4x2)
3x + 4x * -4x2 + 6 = 22 + -6x(7 + 3x)

Reorder the terms for easier multiplication:
3x + 4 * -4x * x2 + 6 = 22 + -6x(7 + 3x)

Multiply 4 * -4
3x + -16x * x2 + 6 = 22 + -6x(7 + 3x)

Multiply x * x2
3x + -16x3 + 6 = 22 + -6x(7 + 3x)

Reorder the terms:
6 + 3x + -16x3 = 22 + -6x(7 + 3x)
6 + 3x + -16x3 = 22 + (7 * -6x + 3x * -6x)
6 + 3x + -16x3 = 22 + (-42x + -18x2)

Solving
6 + 3x + -16x3 = 22 + -42x + -18x2

Solving for variable 'x'.

Reorder the terms:
6 + -22 + 3x + 42x + 18x2 + -16x3 = 22 + -42x + -18x2 + -22 + 42x + 18x2

Combine like terms: 6 + -22 = -16
-16 + 3x + 42x + 18x2 + -16x3 = 22 + -42x + -18x2 + -22 + 42x + 18x2

Combine like terms: 3x + 42x = 45x
-16 + 45x + 18x2 + -16x3 = 22 + -42x + -18x2 + -22 + 42x + 18x2

Reorder the terms:
-16 + 45x + 18x2 + -16x3 = 22 + -22 + -42x + 42x + -18x2 + 18x2

Combine like terms: 22 + -22 = 0
-16 + 45x + 18x2 + -16x3 = 0 + -42x + 42x + -18x2 + 18x2
-16 + 45x + 18x2 + -16x3 = -42x + 42x + -18x2 + 18x2

Combine like terms: -42x + 42x = 0
-16 + 45x + 18x2 + -16x3 = 0 + -18x2 + 18x2
-16 + 45x + 18x2 + -16x3 = -18x2 + 18x2

Combine like terms: -18x2 + 18x2 = 0
-16 + 45x + 18x2 + -16x3 = 0

The solution to this equation could not be determined.

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