F(x)=(3x-5)(x-1)(10x+2)

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Solution for F(x)=(3x-5)(x-1)(10x+2) equation: 


Simplifying
F(x) = (3x + -5)(x + -1)(10x + 2)

Multiply F * x
xF = (3x + -5)(x + -1)(10x + 2)

Reorder the terms:
xF = (-5 + 3x)(x + -1)(10x + 2)

Reorder the terms:
xF = (-5 + 3x)(-1 + x)(10x + 2)

Reorder the terms:
xF = (-5 + 3x)(-1 + x)(2 + 10x)

Multiply (-5 + 3x) * (-1 + x)
xF = (-5(-1 + x) + 3x * (-1 + x))(2 + 10x)
xF = ((-1 * -5 + x * -5) + 3x * (-1 + x))(2 + 10x)
xF = ((5 + -5x) + 3x * (-1 + x))(2 + 10x)
xF = (5 + -5x + (-1 * 3x + x * 3x))(2 + 10x)
xF = (5 + -5x + (-3x + 3x2))(2 + 10x)

Combine like terms: -5x + -3x = -8x
xF = (5 + -8x + 3x2)(2 + 10x)

Multiply (5 + -8x + 3x2) * (2 + 10x)
xF = (5(2 + 10x) + -8x * (2 + 10x) + 3x2 * (2 + 10x))
xF = ((2 * 5 + 10x * 5) + -8x * (2 + 10x) + 3x2 * (2 + 10x))
xF = ((10 + 50x) + -8x * (2 + 10x) + 3x2 * (2 + 10x))
xF = (10 + 50x + (2 * -8x + 10x * -8x) + 3x2 * (2 + 10x))
xF = (10 + 50x + (-16x + -80x2) + 3x2 * (2 + 10x))
xF = (10 + 50x + -16x + -80x2 + (2 * 3x2 + 10x * 3x2))
xF = (10 + 50x + -16x + -80x2 + (6x2 + 30x3))

Combine like terms: 50x + -16x = 34x
xF = (10 + 34x + -80x2 + 6x2 + 30x3)

Combine like terms: -80x2 + 6x2 = -74x2
xF = (10 + 34x + -74x2 + 30x3)

Solving
xF = 10 + 34x + -74x2 + 30x3

Solving for variable 'x'.

Reorder the terms:
-10 + -34x + xF + 74x2 + -30x3 = 10 + 34x + -74x2 + 30x3 + -10 + -34x + 74x2 + -30x3

Reorder the terms:
-10 + -34x + xF + 74x2 + -30x3 = 10 + -10 + 34x + -34x + -74x2 + 74x2 + 30x3 + -30x3

Combine like terms: 10 + -10 = 0
-10 + -34x + xF + 74x2 + -30x3 = 0 + 34x + -34x + -74x2 + 74x2 + 30x3 + -30x3
-10 + -34x + xF + 74x2 + -30x3 = 34x + -34x + -74x2 + 74x2 + 30x3 + -30x3

Combine like terms: 34x + -34x = 0
-10 + -34x + xF + 74x2 + -30x3 = 0 + -74x2 + 74x2 + 30x3 + -30x3
-10 + -34x + xF + 74x2 + -30x3 = -74x2 + 74x2 + 30x3 + -30x3

Combine like terms: -74x2 + 74x2 = 0
-10 + -34x + xF + 74x2 + -30x3 = 0 + 30x3 + -30x3
-10 + -34x + xF + 74x2 + -30x3 = 30x3 + -30x3

Combine like terms: 30x3 + -30x3 = 0
-10 + -34x + xF + 74x2 + -30x3 = 0

The solution to this equation could not be determined.

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