Question
Solve the equation
x=−37405
Alternative Form
x≈−0.785909
Evaluate
3x2×18x5=−10
Multiply
More Steps

Evaluate
3x2×18x5
Multiply the terms
54x2×x5
Multiply the terms with the same base by adding their exponents
54x2+5
Add the numbers
54x7
54x7=−10
Divide both sides
5454x7=54−10
Divide the numbers
x7=54−10
Divide the numbers
More Steps

Evaluate
54−10
Cancel out the common factor 2
27−5
Use b−a=−ba=−ba to rewrite the fraction
−275
x7=−275
Take the 7-th root on both sides of the equation
7x7=7−275
Calculate
x=7−275
Solution
More Steps

Evaluate
7−275
An odd root of a negative radicand is always a negative
−7275
To take a root of a fraction,take the root of the numerator and denominator separately
−72775
Multiply by the Conjugate
727×7276−75×7276
Simplify
727×7276−75×32781
Multiply the numbers
More Steps

Evaluate
−75×32781
Multiply the terms
−7405×32
Use the commutative property to reorder the terms
−327405
727×7276−327405
Multiply the numbers
More Steps

Evaluate
727×7276
The product of roots with the same index is equal to the root of the product
727×276
Calculate the product
7277
Transform the expression
7321
Reduce the index of the radical and exponent with 7
33
33−327405
Reduce the fraction
3−7405
Calculate
−37405
x=−37405
Alternative Form
x≈−0.785909
Show Solution
