Solve Linearequationswithoneunknown E^-2x-2xe - Tiger Algebra

Logo Icon Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Linear equations with one unknown x=12=0.500 x=1/2=0.500 x=0 x=0

Other Ways to Solve

Linear equations with one unknown

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution: (1): "^-2" was replaced by "^(-2)". 1 more similar replacement(s)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((e-2) • x) - (2e(-2)x • x) = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors : e(-2)x - 2e(-2)x2 = -e(-2)x • (2x - 1)

Equation at the end of step 3 :

-e(-2)x • (2x - 1) = 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 separatelyIn other words, we are going to solve as many equations as there are terms in the productAny solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

4.2 Solve -e(-2)x = 0 Setting any of the variables to zero solves the equation: x = 0

Solving a Single Variable Equation :

4.3 Solve : 2x-1 = 0Add 1 to both sides of the equation : 2x = 1 Divide both sides of the equation by 2: x = 1/2 = 0.500

Two solutions were found :

  1. x = 1/2 = 0.500
  2. x = 0

How did we do?

Please leave us feedback.

Why learn this

Terms and topics

  • Linear equations with one unknown

Related links

Latest Related Drills Solved

Từ khóa » G(x)=1-e^2x-2xe^2x