Answer:
Adjust the equation by subtracting the right side from both sides:
x - (3*x^3 + 8*x^2 + 5*x - 7) = 0
Step-by-step solution: Step 1: Equation after Step 1: x - ((((3*(x^3)) + 23x^2) + 5x) - 7) = 0 Step 2: Equation after Step 2: x - (((3x^3 + 23x^2) + 5x) - 7) = 0 Step 3: Step 4: Factoring common terms:
4.1 Extract common factors:
-3x^3 - 8x^2 - 4x + 7 =
-1 • (3x^3 + 8x^2 + 4x - 7)
Confirming if it is a perfect cube:
4.2 The expression 3x^3 + 8x^2 + 4x - 7 is not a perfect cube
Attempting to factor by grouping:
4.3 Factoring: 3x^3 + 8x^2 + 4x - 7
Thoughtfully divide the expression into groups, each consisting of two terms:
Group 1: 3x^3 - 7
Group 2: 8x^2 + 4x
Separate out terms from each group:
Group 1: (3x^3 - 7) • (1)
Group 2: (4x) • (2x + 1)
Step-by-step explanation:
