Question
Solve the equation
Solve for x
x=−21
Alternative Form
x=−0.5
Evaluate
2x2×12x=−3
Multiply
More Steps
Evaluate
2x2×12x
Multiply the terms
24x2×x
Multiply the terms with the same base by adding their exponents
24x2+1
Add the numbers
24x3
24x3=−3
Divide both sides
2424x3=24−3
Divide the numbers
x3=24−3
Divide the numbers
More Steps
Evaluate
24−3
Cancel out the common factor 3
8−1
Use b−a=−ba=−ba to rewrite the fraction
−81
x3=−81
Take the 3-th root on both sides of the equation
3x3=3−81
Calculate
x=3−81
Solution
More Steps
Evaluate
3−81
An odd root of a negative radicand is always a negative
−381
To take a root of a fraction,take the root of the numerator and denominator separately
−3831
Simplify the radical expression
−381
Simplify the radical expression
More Steps
Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
−21
x=−21
Alternative Form
x=−0.5
Show Solution