Question

How do you factor \[4x - 6\] ?

Answer 1

Hint:A function is expressed as an equation in terms of a variable such that its value varies with the value of the variable. By finding the factor of the equation we mean that we have to find the value of x in the question for which the function \[f(x) = 4x - 6\] is zero. We can find the value of x by rearranging the terms of the equation such that the terms containing the variable x remain at the left-hand side while the right-hand side contains only constant terms. Now, to find the value of the “x”, we have to simplify the equation by using the required arithmetic operation like addition, subtraction, multiplication and division.

Complete step by step answer:
We have\[4x - 6 = 0\] , for solving this equation, we take the constant term 6 to the right-hand side
and keep the term 4x on the left-hand side as follows
\[4x = 6\]
Now, we divide both the sides by 4
\[x = \dfrac{6}{4}\]
\[x = \dfrac{3}{2}\]
Hence the factor of \[4x - 6\]is \[\left( {x - \dfrac{3}{2}} \right)\]

Note: In this question, we are given a linear equation containing only one variable; we know that if we have to find the value of “n” variables then we should have “n” equations to find the values. In this question, we have to find the value of a single variable so a single equation is enough to solve it. We can check if the answer obtained is correct or not by plugging in the obtained value in the given equation if the answer obtained is zero then our answer is correct.