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Other Ways to Solve
Linear equations with one unknownStep by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x^29*1-(-9*x)=0
Step 1 :
Equation at the end of step 1 :
(3x29 • 1) - -9x = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
3x29 + 9x = 3x • (x28 + 3)
Equation at the end of step 3 :
3x • (x28 + 3) = 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 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
4.2 Solve : 3x = 0
Divide both sides of the equation by 3:
x = 0
Solving a Single Variable Equation :
4.3 Solve : x28+3 = 0
Subtract 3 from both sides of the equation :
x28 = -3
x = 28th root of (-3)
The equation has no real solutions. It has 28 imaginary, or complex solutions.
These solutions are x = 28th root of -3.00000
- These solutions are x = 28th root of -3.00000
- x = 0
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