Question
Solve the equation
x=0
Evaluate
x2−x=3x3
Move the expression to the left side
x2−x−3x3=0
Factor the expression
x(x−1−3x2)=0
Separate the equation into 2 possible cases
x=0x−1−3x2=0
Solve the equation
More Steps

Evaluate
x−1−3x2=0
Rewrite in standard form
−3x2+x−1=0
Multiply both sides
3x2−x+1=0
Substitute a=3,b=−1 and c=1 into the quadratic formula x=2a−b±b2−4ac
x=2×31±(−1)2−4×3
Simplify the expression
x=61±(−1)2−4×3
Simplify the expression
More Steps

Evaluate
(−1)2−4×3
Evaluate the power
1−4×3
Multiply the numbers
1−12
Subtract the numbers
−11
x=61±−11
The expression is undefined in the set of real numbers
x∈/R
x=0x∈/R
Solution
x=0
Show Solution
