4x+7(ln(x)-1)=0

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Solution for 4x+7(ln(x)-1)=0 equation:


Simplifying
4x + 7(ln(x) + -1) = 0

Multiply ln * x
4x + 7(lnx + -1) = 0

Reorder the terms:
4x + 7(-1 + lnx) = 0
4x + (-1 * 7 + lnx * 7) = 0
4x + (-7 + 7lnx) = 0

Reorder the terms:
-7 + 7lnx + 4x = 0

Solving
-7 + 7lnx + 4x = 0

Solving for variable 'l'.

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

Add '7' to each side of the equation.
-7 + 7lnx + 7 + 4x = 0 + 7

Reorder the terms:
-7 + 7 + 7lnx + 4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 7lnx + 4x = 0 + 7
7lnx + 4x = 0 + 7

Combine like terms: 0 + 7 = 7
7lnx + 4x = 7

Add '-4x' to each side of the equation.
7lnx + 4x + -4x = 7 + -4x

Combine like terms: 4x + -4x = 0
7lnx + 0 = 7 + -4x
7lnx = 7 + -4x

Divide each side by '7nx'.
l = n-1x-1 + -0.5714285714n-1

Simplifying
l = n-1x-1 + -0.5714285714n-1

Reorder the terms:
l = -0.5714285714n-1 + n-1x-1

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