logx+5(3x^2-4x-11)=2

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Solution for logx+5(3x^2-4x-11)=2 equation:


Simplifying
logx + 5(3x2 + -4x + -11) = 2

Reorder the terms:
glox + 5(-11 + -4x + 3x2) = 2
glox + (-11 * 5 + -4x * 5 + 3x2 * 5) = 2
glox + (-55 + -20x + 15x2) = 2

Reorder the terms:
-55 + glox + -20x + 15x2 = 2

Solving
-55 + glox + -20x + 15x2 = 2

Solving for variable 'g'.

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

Add '55' to each side of the equation.
-55 + glox + -20x + 55 + 15x2 = 2 + 55

Reorder the terms:
-55 + 55 + glox + -20x + 15x2 = 2 + 55

Combine like terms: -55 + 55 = 0
0 + glox + -20x + 15x2 = 2 + 55
glox + -20x + 15x2 = 2 + 55

Combine like terms: 2 + 55 = 57
glox + -20x + 15x2 = 57

Add '20x' to each side of the equation.
glox + -20x + 20x + 15x2 = 57 + 20x

Combine like terms: -20x + 20x = 0
glox + 0 + 15x2 = 57 + 20x
glox + 15x2 = 57 + 20x

Add '-15x2' to each side of the equation.
glox + 15x2 + -15x2 = 57 + 20x + -15x2

Combine like terms: 15x2 + -15x2 = 0
glox + 0 = 57 + 20x + -15x2
glox = 57 + 20x + -15x2

Divide each side by 'lox'.
g = 57l-1o-1x-1 + 20l-1o-1 + -15l-1o-1x

Simplifying
g = 57l-1o-1x-1 + 20l-1o-1 + -15l-1o-1x

Reorder the terms:
g = 20l-1o-1 + 57l-1o-1x-1 + -15l-1o-1x

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