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Solve equation by using the quadratic formula.
2x2 + 13x = 0

User Xxbinxx
by
8.5k points

1 Answer

3 votes

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

User Rahul Mane
by
7.9k points

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