15+3(x+2)=7(x-1)x(2x-7)

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Solution for 15+3(x+2)=7(x-1)x(2x-7) equation: 


Simplifying
15 + 3(x + 2) = 7(x + -1) * x(2x + -7)

Reorder the terms:
15 + 3(2 + x) = 7(x + -1) * x(2x + -7)
15 + (2 * 3 + x * 3) = 7(x + -1) * x(2x + -7)
15 + (6 + 3x) = 7(x + -1) * x(2x + -7)

Combine like terms: 15 + 6 = 21
21 + 3x = 7(x + -1) * x(2x + -7)

Reorder the terms:
21 + 3x = 7(-1 + x) * x(2x + -7)

Reorder the terms:
21 + 3x = 7(-1 + x) * x(-7 + 2x)

Reorder the terms for easier multiplication:
21 + 3x = 7x(-1 + x)(-7 + 2x)

Multiply (-1 + x) * (-7 + 2x)
21 + 3x = 7x(-1(-7 + 2x) + x(-7 + 2x))
21 + 3x = 7x((-7 * -1 + 2x * -1) + x(-7 + 2x))
21 + 3x = 7x((7 + -2x) + x(-7 + 2x))
21 + 3x = 7x(7 + -2x + (-7 * x + 2x * x))
21 + 3x = 7x(7 + -2x + (-7x + 2x2))

Combine like terms: -2x + -7x = -9x
21 + 3x = 7x(7 + -9x + 2x2)
21 + 3x = (7 * 7x + -9x * 7x + 2x2 * 7x)
21 + 3x = (49x + -63x2 + 14x3)

Solving
21 + 3x = 49x + -63x2 + 14x3

Solving for variable 'x'.

Combine like terms: 3x + -49x = -46x
21 + -46x + 63x2 + -14x3 = 49x + -63x2 + 14x3 + -49x + 63x2 + -14x3

Reorder the terms:
21 + -46x + 63x2 + -14x3 = 49x + -49x + -63x2 + 63x2 + 14x3 + -14x3

Combine like terms: 49x + -49x = 0
21 + -46x + 63x2 + -14x3 = 0 + -63x2 + 63x2 + 14x3 + -14x3
21 + -46x + 63x2 + -14x3 = -63x2 + 63x2 + 14x3 + -14x3

Combine like terms: -63x2 + 63x2 = 0
21 + -46x + 63x2 + -14x3 = 0 + 14x3 + -14x3
21 + -46x + 63x2 + -14x3 = 14x3 + -14x3

Combine like terms: 14x3 + -14x3 = 0
21 + -46x + 63x2 + -14x3 = 0

The solution to this equation could not be determined.

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