ln(x)-x^2+10x+25=0

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Solution for ln(x)-x^2+10x+25=0 equation:


Simplifying
ln(x) + -1x2 + 10x + 25 = 0

Multiply ln * x
lnx + -1x2 + 10x + 25 = 0

Reorder the terms:
25 + lnx + 10x + -1x2 = 0

Solving
25 + lnx + 10x + -1x2 = 0

Solving for variable 'l'.

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

Add '-25' to each side of the equation.
25 + lnx + 10x + -25 + -1x2 = 0 + -25

Reorder the terms:
25 + -25 + lnx + 10x + -1x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + lnx + 10x + -1x2 = 0 + -25
lnx + 10x + -1x2 = 0 + -25

Combine like terms: 0 + -25 = -25
lnx + 10x + -1x2 = -25

Add '-10x' to each side of the equation.
lnx + 10x + -10x + -1x2 = -25 + -10x

Combine like terms: 10x + -10x = 0
lnx + 0 + -1x2 = -25 + -10x
lnx + -1x2 = -25 + -10x

Add 'x2' to each side of the equation.
lnx + -1x2 + x2 = -25 + -10x + x2

Combine like terms: -1x2 + x2 = 0
lnx + 0 = -25 + -10x + x2
lnx = -25 + -10x + x2

Divide each side by 'nx'.
l = -25n-1x-1 + -10n-1 + n-1x

Simplifying
l = -25n-1x-1 + -10n-1 + n-1x

Reorder the terms:
l = -10n-1 + -25n-1x-1 + n-1x

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