Question
Solve the equation
Solve for x
x=2
Evaluate
x3+6x=4x2+4
Move the expression to the left side
x3+6x−(4x2+4)=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
x3+6x−4x2−4=0
Factor the expression
(x−2)(x2−2x+2)=0
Separate the equation into 2 possible cases
x−2=0x2−2x+2=0
Solve the equation
More Steps
Evaluate
x−2=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=2x2−2x+2=0
Solve the equation
More Steps
Evaluate
x2−2x+2=0
Substitute a=1,b=−2 and c=2 into the quadratic formula x=2a−b±b2−4ac
x=22±(−2)2−4×2
Simplify the expression
More Steps
Evaluate
(−2)2−4×2
Multiply the numbers
(−2)2−8
Rewrite the expression
22−8
Evaluate the power
4−8
Subtract the numbers
−4
x=22±−4
The expression is undefined in the set of real numbers
x∈/R
x=2x∈/R
Solution
x=2
Show Solution