Linear Equations With One Unknown - 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=−1 x=-1 e=0 e=0 x=0 x=0

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Linear equations with one unknown

Step by Step Solution

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((2•(x2))•(e2))•x)+(2xe2•x) = 0

Step 2 :

Equation at the end of step 2 :

((2x2 • e2) • x) + 2x2e2 = 0

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors : 2x3e2 + 2x2e2 = 2x2e2 • (x + 1)

Equation at the end of step 4 :

2x2e2 • (x + 1) = 0

Step 5 :

Theory - Roots of a product :

5.1 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 :

5.2 Solve 2x2e2 = 0 Setting any of the variables to zero solves the equation: x = 0 e = 0

Solving a Single Variable Equation :

5.3 Solve : x+1 = 0Subtract 1 from both sides of the equation : x = -1

Three solutions were found :

  1. x = -1
  2. e = 0
  3. x = 0

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Terms and topics

  • Linear equations with one unknown

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