Linear Equations With One Unknown - Tiger Algebra
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Other Ways to Solve
Linear equations with one unknownStep by Step Solution
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(x - 4) • (x + 3)2 • (x - 1)3 = 0Step 2 :
Equation at the end of step 2 :
(x - 4) • (x + 3)2 • (x - 1)3 = 0Step 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.
Solving a Single Variable Equation :
3.2 Solve : x-4 = 0Add 4 to both sides of the equation : x = 4
Solving a Single Variable Equation :
3.3 Solve : (x+3)2 = 0 (x+3) 2 represents, in effect, a product of 2 terms which is equal to zero For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means : x+3 = 0 Subtract 3 from both sides of the equation : x = -3
Solving a Single Variable Equation :
3.4 Solve : (x-1)3 = 0As explained in step #03.03 above, the equation to be solved is x-1 = 0Add 1 to both sides of the equation : x = 1
Three solutions were found :
- x = 1
- x = -3
- x = 4
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Terms and topics
- Linear equations with one unknown
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