933=(10x-150)*ln(2x-29)

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Solution for 933=(10x-150)*ln(2x-29) equation: 


Simplifying
933 = (10x + -150) * ln(2x + -29)

Reorder the terms:
933 = (-150 + 10x) * ln(2x + -29)

Reorder the terms:
933 = (-150 + 10x) * ln(-29 + 2x)

Reorder the terms for easier multiplication:
933 = ln(-150 + 10x)(-29 + 2x)

Multiply (-150 + 10x) * (-29 + 2x)
933 = ln(-150(-29 + 2x) + 10x * (-29 + 2x))
933 = ln((-29 * -150 + 2x * -150) + 10x * (-29 + 2x))
933 = ln((4350 + -300x) + 10x * (-29 + 2x))
933 = ln(4350 + -300x + (-29 * 10x + 2x * 10x))
933 = ln(4350 + -300x + (-290x + 20x2))

Combine like terms: -300x + -290x = -590x
933 = ln(4350 + -590x + 20x2)
933 = (4350 * ln + -590x * ln + 20x2 * ln)
933 = (4350ln + -590lnx + 20lnx2)

Solving
933 = 4350ln + -590lnx + 20lnx2

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-4350ln' to each side of the equation.
933 + -4350ln = 4350ln + -590lnx + -4350ln + 20lnx2

Reorder the terms:
933 + -4350ln = 4350ln + -4350ln + -590lnx + 20lnx2

Combine like terms: 4350ln + -4350ln = 0
933 + -4350ln = 0 + -590lnx + 20lnx2
933 + -4350ln = -590lnx + 20lnx2

Add '590lnx' to each side of the equation.
933 + -4350ln + 590lnx = -590lnx + 590lnx + 20lnx2

Combine like terms: -590lnx + 590lnx = 0
933 + -4350ln + 590lnx = 0 + 20lnx2
933 + -4350ln + 590lnx = 20lnx2

Add '-20lnx2' to each side of the equation.
933 + -4350ln + 590lnx + -20lnx2 = 20lnx2 + -20lnx2

Combine like terms: 20lnx2 + -20lnx2 = 0
933 + -4350ln + 590lnx + -20lnx2 = 0

Add '-933' to each side of the equation.
933 + -4350ln + 590lnx + -933 + -20lnx2 = 0 + -933

Reorder the terms:
933 + -933 + -4350ln + 590lnx + -20lnx2 = 0 + -933

Combine like terms: 933 + -933 = 0
0 + -4350ln + 590lnx + -20lnx2 = 0 + -933
-4350ln + 590lnx + -20lnx2 = 0 + -933

Combine like terms: 0 + -933 = -933
-4350ln + 590lnx + -20lnx2 = -933

Reorder the terms:
933 + -4350ln + 590lnx + -20lnx2 = -933 + 933

Combine like terms: -933 + 933 = 0
933 + -4350ln + 590lnx + -20lnx2 = 0

The solution to this equation could not be determined.

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