117=(2x-7)(2x+3)(x-2)

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Solution for 117=(2x-7)(2x+3)(x-2) equation: 


Simplifying
117 = (2x + -7)(2x + 3)(x + -2)

Reorder the terms:
117 = (-7 + 2x)(2x + 3)(x + -2)

Reorder the terms:
117 = (-7 + 2x)(3 + 2x)(x + -2)

Reorder the terms:
117 = (-7 + 2x)(3 + 2x)(-2 + x)

Multiply (-7 + 2x) * (3 + 2x)
117 = (-7(3 + 2x) + 2x * (3 + 2x))(-2 + x)
117 = ((3 * -7 + 2x * -7) + 2x * (3 + 2x))(-2 + x)
117 = ((-21 + -14x) + 2x * (3 + 2x))(-2 + x)
117 = (-21 + -14x + (3 * 2x + 2x * 2x))(-2 + x)
117 = (-21 + -14x + (6x + 4x2))(-2 + x)

Combine like terms: -14x + 6x = -8x
117 = (-21 + -8x + 4x2)(-2 + x)

Multiply (-21 + -8x + 4x2) * (-2 + x)
117 = (-21(-2 + x) + -8x * (-2 + x) + 4x2 * (-2 + x))
117 = ((-2 * -21 + x * -21) + -8x * (-2 + x) + 4x2 * (-2 + x))
117 = ((42 + -21x) + -8x * (-2 + x) + 4x2 * (-2 + x))
117 = (42 + -21x + (-2 * -8x + x * -8x) + 4x2 * (-2 + x))
117 = (42 + -21x + (16x + -8x2) + 4x2 * (-2 + x))
117 = (42 + -21x + 16x + -8x2 + (-2 * 4x2 + x * 4x2))
117 = (42 + -21x + 16x + -8x2 + (-8x2 + 4x3))

Combine like terms: -21x + 16x = -5x
117 = (42 + -5x + -8x2 + -8x2 + 4x3)

Combine like terms: -8x2 + -8x2 = -16x2
117 = (42 + -5x + -16x2 + 4x3)

Solving
117 = 42 + -5x + -16x2 + 4x3

Solving for variable 'x'.

Combine like terms: 117 + -42 = 75
75 + 5x + 16x2 + -4x3 = 42 + -5x + -16x2 + 4x3 + -42 + 5x + 16x2 + -4x3

Reorder the terms:
75 + 5x + 16x2 + -4x3 = 42 + -42 + -5x + 5x + -16x2 + 16x2 + 4x3 + -4x3

Combine like terms: 42 + -42 = 0
75 + 5x + 16x2 + -4x3 = 0 + -5x + 5x + -16x2 + 16x2 + 4x3 + -4x3
75 + 5x + 16x2 + -4x3 = -5x + 5x + -16x2 + 16x2 + 4x3 + -4x3

Combine like terms: -5x + 5x = 0
75 + 5x + 16x2 + -4x3 = 0 + -16x2 + 16x2 + 4x3 + -4x3
75 + 5x + 16x2 + -4x3 = -16x2 + 16x2 + 4x3 + -4x3

Combine like terms: -16x2 + 16x2 = 0
75 + 5x + 16x2 + -4x3 = 0 + 4x3 + -4x3
75 + 5x + 16x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
75 + 5x + 16x2 + -4x3 = 0

The solution to this equation could not be determined.

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