Solve Linearequationswithoneunknown 2x^2-8x=0 Tiger Algebra ...

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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=4 x=4 x=0 x=0

Other Ways to Solve

Linear equations with one unknown
  • Solving quadratic equations by factoring
  • Solving quadratic equations using the quadratic formula
  • Solving quadratic equations by completing the square

Step by Step Solution

Step by step solution :

Step 1 :

Equation at the end of step 1 :

2x2 - 8x = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors : 2x2 - 8x = 2x • (x - 4)

Equation at the end of step 3 :

2x • (x - 4) = 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 : 2x = 0Divide both sides of the equation by 2: x = 0

Solving a Single Variable Equation :

4.3 Solve : x-4 = 0Add 4 to both sides of the equation : x = 4

Two solutions were found :

  1. x = 4
  2. x = 0

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Why learn this

Terms and topics

  • Linear equations with one unknown

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