   Chapter 0.6, Problem 18E

Chapter
Section
Textbook Problem

Solve the equations in Exercises 1–26. 4 x x 3 − 1 − 3 x 4 x 3 − 1 x 3 − 1 = 0

To determine

To calculate: The solution of the equation 4xx313x4x31x31=0.

Explanation

Given information:

The equation is 4xx313x4x31x31=0.

Formula used:

Zero product property,

If ab=0 then either a=0 or b=0.

Condition to solve an equation of the form PQ=0,

If PQ=0, then P=0.

Calculation:

Consider the expression,

4xx313x4x31x31=0

The left side expression is 4xx313x4x31x31.

Multiply both the numerator and the denominator by x31,

(4xx313x4x31)x31(x31)x31=(4xx31)x31(3x4x31)x31(x31)x31=4x(x31)3x4(x31)x31=4x4

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