Question
Solve the equation
x=−336
Alternative Form
x≈−0.605707
Evaluate
−4x2×45x−40=0
Multiply
More Steps

Evaluate
−4x2×45x
Multiply the terms
−180x2×x
Multiply the terms with the same base by adding their exponents
−180x2+1
Add the numbers
−180x3
−180x3−40=0
Move the constant to the right-hand side and change its sign
−180x3=0+40
Removing 0 doesn't change the value,so remove it from the expression
−180x3=40
Change the signs on both sides of the equation
180x3=−40
Divide both sides
180180x3=180−40
Divide the numbers
x3=180−40
Divide the numbers
More Steps

Evaluate
180−40
Cancel out the common factor 20
9−2
Use b−a=−ba=−ba to rewrite the fraction
−92
x3=−92
Take the 3-th root on both sides of the equation
3x3=3−92
Calculate
x=3−92
Solution
More Steps

Evaluate
3−92
An odd root of a negative radicand is always a negative
−392
To take a root of a fraction,take the root of the numerator and denominator separately
−3932
Multiply by the Conjugate
39×392−32×392
Simplify
39×392−32×333
Multiply the numbers
More Steps

Evaluate
−32×333
Multiply the terms
−36×3
Use the commutative property to reorder the terms
−336
39×392−336
Multiply the numbers
More Steps

Evaluate
39×392
The product of roots with the same index is equal to the root of the product
39×92
Calculate the product
393
Transform the expression
336
Reduce the index of the radical and exponent with 3
32
32−336
Reduce the fraction
More Steps

Evaluate
32−3
Use the product rule aman=an−m to simplify the expression
32−1−1
Subtract the terms
31−1
Simplify
3−1
3−36
Calculate
−336
x=−336
Alternative Form
x≈−0.605707
Show Solution
