=(3x-5)(x-1)(3x+5)

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


Simplifying
0 = (3x + -5)(x + -1)(3x + 5)

Reorder the terms:
0 = (-5 + 3x)(x + -1)(3x + 5)

Reorder the terms:
0 = (-5 + 3x)(-1 + x)(3x + 5)

Reorder the terms:
0 = (-5 + 3x)(-1 + x)(5 + 3x)

Multiply (-5 + 3x) * (-1 + x)
0 = (-5(-1 + x) + 3x * (-1 + x))(5 + 3x)
0 = ((-1 * -5 + x * -5) + 3x * (-1 + x))(5 + 3x)
0 = ((5 + -5x) + 3x * (-1 + x))(5 + 3x)
0 = (5 + -5x + (-1 * 3x + x * 3x))(5 + 3x)
0 = (5 + -5x + (-3x + 3x2))(5 + 3x)

Combine like terms: -5x + -3x = -8x
0 = (5 + -8x + 3x2)(5 + 3x)

Multiply (5 + -8x + 3x2) * (5 + 3x)
0 = (5(5 + 3x) + -8x * (5 + 3x) + 3x2 * (5 + 3x))
0 = ((5 * 5 + 3x * 5) + -8x * (5 + 3x) + 3x2 * (5 + 3x))
0 = ((25 + 15x) + -8x * (5 + 3x) + 3x2 * (5 + 3x))
0 = (25 + 15x + (5 * -8x + 3x * -8x) + 3x2 * (5 + 3x))
0 = (25 + 15x + (-40x + -24x2) + 3x2 * (5 + 3x))
0 = (25 + 15x + -40x + -24x2 + (5 * 3x2 + 3x * 3x2))
0 = (25 + 15x + -40x + -24x2 + (15x2 + 9x3))

Combine like terms: 15x + -40x = -25x
0 = (25 + -25x + -24x2 + 15x2 + 9x3)

Combine like terms: -24x2 + 15x2 = -9x2
0 = (25 + -25x + -9x2 + 9x3)

Solving
0 = 25 + -25x + -9x2 + 9x3

Solving for variable 'x'.

Combine like terms: 0 + -25 = -25
-25 + 25x + 9x2 + -9x3 = 25 + -25x + -9x2 + 9x3 + -25 + 25x + 9x2 + -9x3

Reorder the terms:
-25 + 25x + 9x2 + -9x3 = 25 + -25 + -25x + 25x + -9x2 + 9x2 + 9x3 + -9x3

Combine like terms: 25 + -25 = 0
-25 + 25x + 9x2 + -9x3 = 0 + -25x + 25x + -9x2 + 9x2 + 9x3 + -9x3
-25 + 25x + 9x2 + -9x3 = -25x + 25x + -9x2 + 9x2 + 9x3 + -9x3

Combine like terms: -25x + 25x = 0
-25 + 25x + 9x2 + -9x3 = 0 + -9x2 + 9x2 + 9x3 + -9x3
-25 + 25x + 9x2 + -9x3 = -9x2 + 9x2 + 9x3 + -9x3

Combine like terms: -9x2 + 9x2 = 0
-25 + 25x + 9x2 + -9x3 = 0 + 9x3 + -9x3
-25 + 25x + 9x2 + -9x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-25 + 25x + 9x2 + -9x3 = 0

The solution to this equation could not be determined.

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