9=0.5x(x-4)(x-6)

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Solution for 9=0.5x(x-4)(x-6) equation: 


Simplifying
9 = 0.5x(x + -4)(x + -6)

Reorder the terms:
9 = 0.5x(-4 + x)(x + -6)

Reorder the terms:
9 = 0.5x(-4 + x)(-6 + x)

Multiply (-4 + x) * (-6 + x)
9 = 0.5x(-4(-6 + x) + x(-6 + x))
9 = 0.5x((-6 * -4 + x * -4) + x(-6 + x))
9 = 0.5x((24 + -4x) + x(-6 + x))
9 = 0.5x(24 + -4x + (-6 * x + x * x))
9 = 0.5x(24 + -4x + (-6x + x2))

Combine like terms: -4x + -6x = -10x
9 = 0.5x(24 + -10x + x2)
9 = (24 * 0.5x + -10x * 0.5x + x2 * 0.5x)
9 = (12x + -5x2 + 0.5x3)

Solving
9 = 12x + -5x2 + 0.5x3

Solving for variable 'x'.

Reorder the terms:
9 + -12x + 5x2 + -0.5x3 = 12x + -12x + -5x2 + 5x2 + 0.5x3 + -0.5x3

Combine like terms: 12x + -12x = 0
9 + -12x + 5x2 + -0.5x3 = 0 + -5x2 + 5x2 + 0.5x3 + -0.5x3
9 + -12x + 5x2 + -0.5x3 = -5x2 + 5x2 + 0.5x3 + -0.5x3

Combine like terms: -5x2 + 5x2 = 0
9 + -12x + 5x2 + -0.5x3 = 0 + 0.5x3 + -0.5x3
9 + -12x + 5x2 + -0.5x3 = 0.5x3 + -0.5x3

Combine like terms: 0.5x3 + -0.5x3 = 0.0
9 + -12x + 5x2 + -0.5x3 = 0.0

The solution to this equation could not be determined.

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