Solve the Proportion for the Variable $\frac { 4 } { 4 z + 3 } = \frac { 3 z } { 3 z ^ { 2 } + 9 }$

question 32

Short Answer

Solve the proportion for the variable.
$\frac { 4 } { 4 z + 3 } = \frac { 3 z } { 3 z ^ { 2 } + 9 }$
z = __________

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Definitions:

Simplify

To reduce a complex expression to its simplest form by performing all possible operations and combining like terms.

Average

A statistical measure representing the central or typical value in a set of data, calculated usually as the sum of the values divided by the number of values.

Real Numbers

Real numbers include all the numbers on the number line, encompassing rational and irrational numbers, positive, negative, and zero.

Complex Fraction

A fraction that consists of a fraction within its top or bottom number, or in both.