Chapter A.4, Problem 33E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In Exercises 33 to 36, solve each incomplete quadratic equation. 2 x 2 - 6 x = 0

To determine

To solve:

2x2-6x=0

Explanation

Solving an equation is to find the value of the unknown variables in the equation, such that the obtained value or values of the unknown should satisfy the equation from which it was derived. Such a value is said to be the solution for the equation. In general a quadratic equation has two solutions for the variable in the equation as the degree of the equation is two.

Calculation:

Given,

2x2-6x=0

First look for a common factor (GCF) of the terms 2x2, -6x.

 Terms Prime factors 2x2âˆ’6x â€‰2â‹…xâ‹…xâˆ’â‹…3â‹…2â‹…x

Here, the GCF is 2Ä‹x=2x.

Thus, the given equation from become

2xÄ‹x-2xÄ‹3=0

Here, 2x is distributed over (x-3) thus, by the reverse of the distributive property o

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