Solve Linearequationswithoneunknown (2x-6)(3x-4)=0 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=43=1.333 x=4/3=1.333 x=3 x=3

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Linear equations with one unknown

Step by Step Solution

Step by step solution :

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors : 2x - 6 = 2 • (x - 3)

Equation at the end of step 2 :

2 • (x - 3) • (3x - 4) = 0

Step 3 :

Theory - Roots of a product :

3.1 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.

Equations which are never true :

3.2 Solve : 2 = 0This equation has no solution. A a non-zero constant never equals zero.

Solving a Single Variable Equation :

3.3 Solve : x-3 = 0Add 3 to both sides of the equation : x = 3

Solving a Single Variable Equation :

3.4 Solve : 3x-4 = 0Add 4 to both sides of the equation : 3x = 4 Divide both sides of the equation by 3: x = 4/3 = 1.333

Two solutions were found :

  1. x = 4/3 = 1.333
  2. x = 3

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Terms and topics

  • Linear equations with one unknown

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Từ khóa » G(x)=2x^6+3x^4-x^2+3