(x-5)(3-x)(2x+1)=0

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Solution for (x-5)(3-x)(2x+1)=0 equation:


Simplifying
(x + -5)(3 + -1x)(2x + 1) = 0

Reorder the terms:
(-5 + x)(3 + -1x)(2x + 1) = 0

Reorder the terms:
(-5 + x)(3 + -1x)(1 + 2x) = 0

Multiply (-5 + x) * (3 + -1x)
(-5(3 + -1x) + x(3 + -1x))(1 + 2x) = 0
((3 * -5 + -1x * -5) + x(3 + -1x))(1 + 2x) = 0
((-15 + 5x) + x(3 + -1x))(1 + 2x) = 0
(-15 + 5x + (3 * x + -1x * x))(1 + 2x) = 0
(-15 + 5x + (3x + -1x2))(1 + 2x) = 0

Combine like terms: 5x + 3x = 8x
(-15 + 8x + -1x2)(1 + 2x) = 0

Multiply (-15 + 8x + -1x2) * (1 + 2x)
(-15(1 + 2x) + 8x * (1 + 2x) + -1x2 * (1 + 2x)) = 0
((1 * -15 + 2x * -15) + 8x * (1 + 2x) + -1x2 * (1 + 2x)) = 0
((-15 + -30x) + 8x * (1 + 2x) + -1x2 * (1 + 2x)) = 0
(-15 + -30x + (1 * 8x + 2x * 8x) + -1x2 * (1 + 2x)) = 0
(-15 + -30x + (8x + 16x2) + -1x2 * (1 + 2x)) = 0
(-15 + -30x + 8x + 16x2 + (1 * -1x2 + 2x * -1x2)) = 0
(-15 + -30x + 8x + 16x2 + (-1x2 + -2x3)) = 0

Combine like terms: -30x + 8x = -22x
(-15 + -22x + 16x2 + -1x2 + -2x3) = 0

Combine like terms: 16x2 + -1x2 = 15x2
(-15 + -22x + 15x2 + -2x3) = 0

Solving
-15 + -22x + 15x2 + -2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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