Question
Solve the equation
x=−123180
Alternative Form
x≈−0.470518
Evaluate
8x2×6x=−5
Multiply
More Steps

Evaluate
8x2×6x
Multiply the terms
48x2×x
Multiply the terms with the same base by adding their exponents
48x2+1
Add the numbers
48x3
48x3=−5
Divide both sides
4848x3=48−5
Divide the numbers
x3=48−5
Use b−a=−ba=−ba to rewrite the fraction
x3=−485
Take the 3-th root on both sides of the equation
3x3=3−485
Calculate
x=3−485
Solution
More Steps

Evaluate
3−485
An odd root of a negative radicand is always a negative
−3485
To take a root of a fraction,take the root of the numerator and denominator separately
−34835
Simplify the radical expression
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Evaluate
348
Write the expression as a product where the root of one of the factors can be evaluated
38×6
Write the number in exponential form with the base of 2
323×6
The root of a product is equal to the product of the roots of each factor
323×36
Reduce the index of the radical and exponent with 3
236
−23635
Multiply by the Conjugate
236×362−35×362
Simplify
236×362−35×336
Multiply the numbers
More Steps

Evaluate
−35×336
The product of roots with the same index is equal to the root of the product
−35×36
Calculate the product
−3180
236×362−3180
Multiply the numbers
More Steps

Evaluate
236×362
Multiply the terms
2×6
Multiply the terms
12
12−3180
Calculate
−123180
x=−123180
Alternative Form
x≈−0.470518
Show Solution
