There is 2 solutions:
x = 6
x = -7
Step by step solutions-
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Equation at the end of step 1-
(((x3) - 5x2) - 48x) + 252 = 0
Checking for a perfect cube step 2-
2.1 x3-5x2-48x+252 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-5x2-48x+252
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x3-5x2
Group 2: -48x+252
Pull out from each group separately :
Group 1: (x-5) • (x2)
Group 2: (4x-21) • (-12)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.