(6x-5)(x+3)(3x-5)=0

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Solution for (6x-5)(x+3)(3x-5)=0 equation:


Simplifying
(6x + -5)(x + 3)(3x + -5) = 0

Reorder the terms:
(-5 + 6x)(x + 3)(3x + -5) = 0

Reorder the terms:
(-5 + 6x)(3 + x)(3x + -5) = 0

Reorder the terms:
(-5 + 6x)(3 + x)(-5 + 3x) = 0

Multiply (-5 + 6x) * (3 + x)
(-5(3 + x) + 6x * (3 + x))(-5 + 3x) = 0
((3 * -5 + x * -5) + 6x * (3 + x))(-5 + 3x) = 0
((-15 + -5x) + 6x * (3 + x))(-5 + 3x) = 0
(-15 + -5x + (3 * 6x + x * 6x))(-5 + 3x) = 0
(-15 + -5x + (18x + 6x2))(-5 + 3x) = 0

Combine like terms: -5x + 18x = 13x
(-15 + 13x + 6x2)(-5 + 3x) = 0

Multiply (-15 + 13x + 6x2) * (-5 + 3x)
(-15(-5 + 3x) + 13x * (-5 + 3x) + 6x2 * (-5 + 3x)) = 0
((-5 * -15 + 3x * -15) + 13x * (-5 + 3x) + 6x2 * (-5 + 3x)) = 0
((75 + -45x) + 13x * (-5 + 3x) + 6x2 * (-5 + 3x)) = 0
(75 + -45x + (-5 * 13x + 3x * 13x) + 6x2 * (-5 + 3x)) = 0
(75 + -45x + (-65x + 39x2) + 6x2 * (-5 + 3x)) = 0
(75 + -45x + -65x + 39x2 + (-5 * 6x2 + 3x * 6x2)) = 0
(75 + -45x + -65x + 39x2 + (-30x2 + 18x3)) = 0

Combine like terms: -45x + -65x = -110x
(75 + -110x + 39x2 + -30x2 + 18x3) = 0

Combine like terms: 39x2 + -30x2 = 9x2
(75 + -110x + 9x2 + 18x3) = 0

Solving
75 + -110x + 9x2 + 18x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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