(3x-15)*(4x-10)*(x-2)=0

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Solution for (3x-15)*(4x-10)*(x-2)=0 equation: 


Simplifying
(3x + -15)(4x + -10)(x + -2) = 0

Reorder the terms:
(-15 + 3x)(4x + -10)(x + -2) = 0

Reorder the terms:
(-15 + 3x)(-10 + 4x)(x + -2) = 0

Reorder the terms:
(-15 + 3x)(-10 + 4x)(-2 + x) = 0

Multiply (-15 + 3x) * (-10 + 4x)
(-15(-10 + 4x) + 3x * (-10 + 4x))(-2 + x) = 0
((-10 * -15 + 4x * -15) + 3x * (-10 + 4x))(-2 + x) = 0
((150 + -60x) + 3x * (-10 + 4x))(-2 + x) = 0
(150 + -60x + (-10 * 3x + 4x * 3x))(-2 + x) = 0
(150 + -60x + (-30x + 12x2))(-2 + x) = 0

Combine like terms: -60x + -30x = -90x
(150 + -90x + 12x2)(-2 + x) = 0

Multiply (150 + -90x + 12x2) * (-2 + x)
(150(-2 + x) + -90x * (-2 + x) + 12x2 * (-2 + x)) = 0
((-2 * 150 + x * 150) + -90x * (-2 + x) + 12x2 * (-2 + x)) = 0
((-300 + 150x) + -90x * (-2 + x) + 12x2 * (-2 + x)) = 0
(-300 + 150x + (-2 * -90x + x * -90x) + 12x2 * (-2 + x)) = 0
(-300 + 150x + (180x + -90x2) + 12x2 * (-2 + x)) = 0
(-300 + 150x + 180x + -90x2 + (-2 * 12x2 + x * 12x2)) = 0
(-300 + 150x + 180x + -90x2 + (-24x2 + 12x3)) = 0

Combine like terms: 150x + 180x = 330x
(-300 + 330x + -90x2 + -24x2 + 12x3) = 0

Combine like terms: -90x2 + -24x2 = -114x2
(-300 + 330x + -114x2 + 12x3) = 0

Solving
-300 + 330x + -114x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-50 + 55x + -19x2 + 2x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-50 + 55x + -19x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-50 + 55x + -19x2 + 2x3 = 0

Solving
-50 + 55x + -19x2 + 2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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