**Answer:**

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

** x-(3*x^3+8*x^2+5*x-7)=0 **

**Step by step solution :Step 1 :Equation at the end of step 1 : x-((((3•(x3))+23x2)+5x)-7) = 0 Step 2 :Equation at the end of step 2 : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step 3 :Step 4 :Pulling out like terms :**

** 4.1 Pull out like factors :**

** -3x3 - 8x2 - 4x + 7 = **

** -1 • (3x3 + 8x2 + 4x - 7) **

**Checking for a perfect cube :**

** 4.2 3x3 + 8x2 + 4x - 7 is not a perfect cube **

**Trying to factor by pulling out :**

** 4.3 Factoring: 3x3 + 8x2 + 4x - 7 **

**Thoughtfully split the expression at hand into groups, each group having two terms :**

**Group 1: 3x3 - 7 **

**Group 2: 8x2 + 4x **

**Pull out from each group separately :**

**Group 1: (3x3 - 7) • (1)**

**Group 2: (2x + 1) • (4x)**

**Step-by-step explanation:**