Question
Solve the equation
x=−2232420
Alternative Form
x≈−0.610261
Evaluate
−4x2×44x−40=0
Multiply
More Steps

Evaluate
−4x2×44x
Multiply the terms
−176x2×x
Multiply the terms with the same base by adding their exponents
−176x2+1
Add the numbers
−176x3
−176x3−40=0
Move the constant to the right-hand side and change its sign
−176x3=0+40
Removing 0 doesn't change the value,so remove it from the expression
−176x3=40
Change the signs on both sides of the equation
176x3=−40
Divide both sides
176176x3=176−40
Divide the numbers
x3=176−40
Divide the numbers
More Steps

Evaluate
176−40
Cancel out the common factor 8
22−5
Use b−a=−ba=−ba to rewrite the fraction
−225
x3=−225
Take the 3-th root on both sides of the equation
3x3=3−225
Calculate
x=3−225
Solution
More Steps

Evaluate
3−225
An odd root of a negative radicand is always a negative
−3225
To take a root of a fraction,take the root of the numerator and denominator separately
−32235
Multiply by the Conjugate
322×3222−35×3222
Simplify
322×3222−35×3484
Multiply the numbers
More Steps

Evaluate
−35×3484
The product of roots with the same index is equal to the root of the product
−35×484
Calculate the product
−32420
322×3222−32420
Multiply the numbers
More Steps

Evaluate
322×3222
The product of roots with the same index is equal to the root of the product
322×222
Calculate the product
3223
Reduce the index of the radical and exponent with 3
22
22−32420
Calculate
−2232420
x=−2232420
Alternative Form
x≈−0.610261
Show Solution
