Question
Solve the equation
Solve for x
x=−2
Evaluate
−24x−24=x3+8x2
Move the expression to the left side
−24x−24−(x3+8x2)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−24x−24−x3−8x2=0
Factor the expression
−(2+x)(12+x2+6x)=0
Divide both sides
(2+x)(12+x2+6x)=0
Separate the equation into 2 possible cases
2+x=012+x2+6x=0
Solve the equation
More Steps
Evaluate
2+x=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=−212+x2+6x=0
Solve the equation
More Steps
Evaluate
12+x2+6x=0
Rewrite in standard form
x2+6x+12=0
Substitute a=1,b=6 and c=12 into the quadratic formula x=2a−b±b2−4ac
x=2−6±62−4×12
Simplify the expression
More Steps
Evaluate
62−4×12
Multiply the numbers
62−48
Evaluate the power
36−48
Subtract the numbers
−12
x=2−6±−12
The expression is undefined in the set of real numbers
x∈/R
x=−2x∈/R
Solution
x=−2
Show Solution