How do I solve symbolically x(x-8)(x+5)=0
Answers
Step-by-step explanation:
Step by step solution :
STEP
1
:
Equation at the end of step 1
(x - 5) • (x + 8) = 0
STEP
2
:
Theory - Roots of a product
2.1 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:
2.2 Solve : x-5 = 0
Add 5 to both sides of the equation :
x = 5
Solving a Single Variable Equation:
2.3 Solve : x+8 = 0
Subtract 8 from both sides of the equation :
x = -8
Two solutions were found :
x = -8
x = 5