Question
Solve the equation
x=−3345
Alternative Form
x≈−1.185631
Evaluate
−x2×6x−10=0
Multiply
More Steps

Evaluate
−x2×6x
Multiply the terms with the same base by adding their exponents
−x2+1×6
Add the numbers
−x3×6
Use the commutative property to reorder the terms
−6x3
−6x3−10=0
Move the constant to the right-hand side and change its sign
−6x3=0+10
Removing 0 doesn't change the value,so remove it from the expression
−6x3=10
Change the signs on both sides of the equation
6x3=−10
Divide both sides
66x3=6−10
Divide the numbers
x3=6−10
Divide the numbers
More Steps

Evaluate
6−10
Cancel out the common factor 2
3−5
Use b−a=−ba=−ba to rewrite the fraction
−35
x3=−35
Take the 3-th root on both sides of the equation
3x3=3−35
Calculate
x=3−35
Solution
More Steps

Evaluate
3−35
An odd root of a negative radicand is always a negative
−335
To take a root of a fraction,take the root of the numerator and denominator separately
−3335
Multiply by the Conjugate
33×332−35×332
Simplify
33×332−35×39
Multiply the numbers
More Steps

Evaluate
−35×39
The product of roots with the same index is equal to the root of the product
−35×9
Calculate the product
−345
33×332−345
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3−345
Calculate
−3345
x=−3345
Alternative Form
x≈−1.185631
Show Solution
