Question
Solve the equation
x=−283294
Alternative Form
x≈−0.237479
Evaluate
−6=16x2×28x
Multiply
More Steps

Evaluate
16x2×28x
Multiply the terms
448x2×x
Multiply the terms with the same base by adding their exponents
448x2+1
Add the numbers
448x3
−6=448x3
Swap the sides of the equation
448x3=−6
Divide both sides
448448x3=448−6
Divide the numbers
x3=448−6
Divide the numbers
More Steps

Evaluate
448−6
Cancel out the common factor 2
224−3
Use b−a=−ba=−ba to rewrite the fraction
−2243
x3=−2243
Take the 3-th root on both sides of the equation
3x3=3−2243
Calculate
x=3−2243
Solution
More Steps

Evaluate
3−2243
An odd root of a negative radicand is always a negative
−32243
To take a root of a fraction,take the root of the numerator and denominator separately
−322433
Simplify the radical expression
More Steps

Evaluate
3224
Write the expression as a product where the root of one of the factors can be evaluated
38×28
Write the number in exponential form with the base of 2
323×28
The root of a product is equal to the product of the roots of each factor
323×328
Reduce the index of the radical and exponent with 3
2328
−232833
Multiply by the Conjugate
2328×3282−33×3282
Simplify
2328×3282−33×2398
Multiply the numbers
More Steps

Evaluate
−33×2398
Multiply the terms
−3294×2
Use the commutative property to reorder the terms
−23294
2328×3282−23294
Multiply the numbers
More Steps

Evaluate
2328×3282
Multiply the terms
2×28
Multiply the terms
56
56−23294
Cancel out the common factor 2
28−3294
Calculate
−283294
x=−283294
Alternative Form
x≈−0.237479
Show Solution
