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Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-((m-3)*x^32*(m^2-m-1)*x^2)=0

Step 1 :

Equation at the end of step 1 :

  y -  (((m - 3) • x³² • (m² - m - 1)) • x²)  = 0

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring m²-m-1

The first term is, m² its coefficient is 1 .
The middle term is, -m its coefficient is -1 .
The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -1 .

-1

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Equation at the end of step 2 :

  y -  ((m - 3) • x³² • (m² - m - 1) • x²)  = 0

Step 3 :

Multiplying exponential expressions :

3.1 x³² multiplied by x² = x^{(32 + 2)} = x³⁴

Equation at the end of step 3 :

  y -  (m - 3) • x³⁴ • (m² - m - 1)  = 0

Step 4 :

Equation at the end of step 4 :

  y - m³x³⁴ + 4m²x³⁴ - 2mx³⁴ - 3x³⁴  = 0

Step 5 :

Solving a Single Variable Equation :

5.1 Solve y-m³x³⁴+4m²x³⁴-2mx³⁴-3x³⁴ = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.