=(x+3)(x-5)(5x-4)

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Solution for =(x+3)(x-5)(5x-4) equation: 


Simplifying
0 = (x + 3)(x + -5)(5x + -4)

Reorder the terms:
0 = (3 + x)(x + -5)(5x + -4)

Reorder the terms:
0 = (3 + x)(-5 + x)(5x + -4)

Reorder the terms:
0 = (3 + x)(-5 + x)(-4 + 5x)

Multiply (3 + x) * (-5 + x)
0 = (3(-5 + x) + x(-5 + x))(-4 + 5x)
0 = ((-5 * 3 + x * 3) + x(-5 + x))(-4 + 5x)
0 = ((-15 + 3x) + x(-5 + x))(-4 + 5x)
0 = (-15 + 3x + (-5 * x + x * x))(-4 + 5x)
0 = (-15 + 3x + (-5x + x2))(-4 + 5x)

Combine like terms: 3x + -5x = -2x
0 = (-15 + -2x + x2)(-4 + 5x)

Multiply (-15 + -2x + x2) * (-4 + 5x)
0 = (-15(-4 + 5x) + -2x * (-4 + 5x) + x2(-4 + 5x))
0 = ((-4 * -15 + 5x * -15) + -2x * (-4 + 5x) + x2(-4 + 5x))
0 = ((60 + -75x) + -2x * (-4 + 5x) + x2(-4 + 5x))
0 = (60 + -75x + (-4 * -2x + 5x * -2x) + x2(-4 + 5x))
0 = (60 + -75x + (8x + -10x2) + x2(-4 + 5x))
0 = (60 + -75x + 8x + -10x2 + (-4 * x2 + 5x * x2))
0 = (60 + -75x + 8x + -10x2 + (-4x2 + 5x3))

Combine like terms: -75x + 8x = -67x
0 = (60 + -67x + -10x2 + -4x2 + 5x3)

Combine like terms: -10x2 + -4x2 = -14x2
0 = (60 + -67x + -14x2 + 5x3)

Solving
0 = 60 + -67x + -14x2 + 5x3

Solving for variable 'x'.

Combine like terms: 0 + -60 = -60
-60 + 67x + 14x2 + -5x3 = 60 + -67x + -14x2 + 5x3 + -60 + 67x + 14x2 + -5x3

Reorder the terms:
-60 + 67x + 14x2 + -5x3 = 60 + -60 + -67x + 67x + -14x2 + 14x2 + 5x3 + -5x3

Combine like terms: 60 + -60 = 0
-60 + 67x + 14x2 + -5x3 = 0 + -67x + 67x + -14x2 + 14x2 + 5x3 + -5x3
-60 + 67x + 14x2 + -5x3 = -67x + 67x + -14x2 + 14x2 + 5x3 + -5x3

Combine like terms: -67x + 67x = 0
-60 + 67x + 14x2 + -5x3 = 0 + -14x2 + 14x2 + 5x3 + -5x3
-60 + 67x + 14x2 + -5x3 = -14x2 + 14x2 + 5x3 + -5x3

Combine like terms: -14x2 + 14x2 = 0
-60 + 67x + 14x2 + -5x3 = 0 + 5x3 + -5x3
-60 + 67x + 14x2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-60 + 67x + 14x2 + -5x3 = 0

The solution to this equation could not be determined.

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