Answer:
x=-13/2=-6.500 x=0
Explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
STEP
1
:
Equation at the end of step 1
2x2 + 13x = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x2 + 13x = x • (2x + 13)
Equation at the end of step
3
:
x • (2x + 13) = 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 : x = 0
Solution is x = 0
Solving a Single Variable Equation:
4.3 Solve : 2x+13 = 0
Subtract 13 from both sides of the equation :
2x = -13
Divide both sides of the equation by 2:
x = -13/2 = -6.500
x=0