(2x-5)(x-10)(3-3x)=0

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Solution for (2x-5)(x-10)(3-3x)=0 equation:


Simplifying
(2x + -5)(x + -10)(3 + -3x) = 0

Reorder the terms:
(-5 + 2x)(x + -10)(3 + -3x) = 0

Reorder the terms:
(-5 + 2x)(-10 + x)(3 + -3x) = 0

Multiply (-5 + 2x) * (-10 + x)
(-5(-10 + x) + 2x * (-10 + x))(3 + -3x) = 0
((-10 * -5 + x * -5) + 2x * (-10 + x))(3 + -3x) = 0
((50 + -5x) + 2x * (-10 + x))(3 + -3x) = 0
(50 + -5x + (-10 * 2x + x * 2x))(3 + -3x) = 0
(50 + -5x + (-20x + 2x2))(3 + -3x) = 0

Combine like terms: -5x + -20x = -25x
(50 + -25x + 2x2)(3 + -3x) = 0

Multiply (50 + -25x + 2x2) * (3 + -3x)
(50(3 + -3x) + -25x * (3 + -3x) + 2x2 * (3 + -3x)) = 0
((3 * 50 + -3x * 50) + -25x * (3 + -3x) + 2x2 * (3 + -3x)) = 0
((150 + -150x) + -25x * (3 + -3x) + 2x2 * (3 + -3x)) = 0
(150 + -150x + (3 * -25x + -3x * -25x) + 2x2 * (3 + -3x)) = 0
(150 + -150x + (-75x + 75x2) + 2x2 * (3 + -3x)) = 0
(150 + -150x + -75x + 75x2 + (3 * 2x2 + -3x * 2x2)) = 0
(150 + -150x + -75x + 75x2 + (6x2 + -6x3)) = 0

Combine like terms: -150x + -75x = -225x
(150 + -225x + 75x2 + 6x2 + -6x3) = 0

Combine like terms: 75x2 + 6x2 = 81x2
(150 + -225x + 81x2 + -6x3) = 0

Solving
150 + -225x + 81x2 + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(50 + -75x + 27x2 + -2x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(50 + -75x + 27x2 + -2x3)' equal to zero and attempt to solve: Simplifying 50 + -75x + 27x2 + -2x3 = 0 Solving 50 + -75x + 27x2 + -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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