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

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


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

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

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

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

Multiply (-2 + x) * (3 + x)
(-2(3 + x) + x(3 + x))(-5 + 2x) = 0
((3 * -2 + x * -2) + x(3 + x))(-5 + 2x) = 0
((-6 + -2x) + x(3 + x))(-5 + 2x) = 0
(-6 + -2x + (3 * x + x * x))(-5 + 2x) = 0
(-6 + -2x + (3x + x2))(-5 + 2x) = 0

Combine like terms: -2x + 3x = 1x
(-6 + 1x + x2)(-5 + 2x) = 0

Multiply (-6 + 1x + x2) * (-5 + 2x)
(-6(-5 + 2x) + 1x * (-5 + 2x) + x2(-5 + 2x)) = 0
((-5 * -6 + 2x * -6) + 1x * (-5 + 2x) + x2(-5 + 2x)) = 0
((30 + -12x) + 1x * (-5 + 2x) + x2(-5 + 2x)) = 0
(30 + -12x + (-5 * 1x + 2x * 1x) + x2(-5 + 2x)) = 0
(30 + -12x + (-5x + 2x2) + x2(-5 + 2x)) = 0
(30 + -12x + -5x + 2x2 + (-5 * x2 + 2x * x2)) = 0
(30 + -12x + -5x + 2x2 + (-5x2 + 2x3)) = 0

Combine like terms: -12x + -5x = -17x
(30 + -17x + 2x2 + -5x2 + 2x3) = 0

Combine like terms: 2x2 + -5x2 = -3x2
(30 + -17x + -3x2 + 2x3) = 0

Solving
30 + -17x + -3x2 + 2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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