# What is the factor of x2+7x=0

2
by RenzGarcia

2016-07-01T11:58:36+08:00
You mean this? >>>>> "x^2-7x=0"

1.        x = 7

2.        x = 0

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

x2 - 7x  =   x • (x - 7)

Equation at the end of step  2  :

x • (x - 7)  = 0

Step  3  :

Theory - Roots of a product :

3.1    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 :

3.2      Solve  :    x = 0

Solution is  x = 0

Solving a Single Variable Equation :

3.3      Solve  :    x-7 = 0

Add  7  to both sides of the equation :
x = 7

@otaku5h

www.tiger-algebra.com/

2016-07-01T12:13:35+08:00
X(x + 7)
i assumed that x2 + 7x  is actually x^2 + 7x, hence the common factor is x.
x^2 + 7x = 0
the factors are x(x + 7) = 0
by square root principle, the values of x are x = 0 and x = -7,