Question

7x2 + 49x. find the zeros​

Answer 1

Answer:

(1): "x2" was replaced by "x^2".

Step by step solution :

STEP

1

:

Equation at the end of step 1

7x2 - 49x = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

7x2 - 49x = 7x • (x - 7)

Equation at the end of step

3

:

7x • (x - 7) = 0

STEP

4

:

Theory - Roots of a product

4.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2 Solve : 7x = 0

Divide both sides of the equation by 7:

x = 0

Solving a Single Variable Equation:

4.3 Solve : x-7 = 0

Add 7 to both sides of the equation :

x = 7