Question
Solve the equation
x=−127126
Alternative Form
x≈−0.701183
Evaluate
4x2×12x5=−4
Multiply
More Steps

Evaluate
4x2×12x5
Multiply the terms
48x2×x5
Multiply the terms with the same base by adding their exponents
48x2+5
Add the numbers
48x7
48x7=−4
Divide both sides
4848x7=48−4
Divide the numbers
x7=48−4
Divide the numbers
More Steps

Evaluate
48−4
Cancel out the common factor 4
12−1
Use b−a=−ba=−ba to rewrite the fraction
−121
x7=−121
Take the 7-th root on both sides of the equation
7x7=7−121
Calculate
x=7−121
Solution
More Steps

Evaluate
7−121
An odd root of a negative radicand is always a negative
−7121
To take a root of a fraction,take the root of the numerator and denominator separately
−71271
Simplify the radical expression
−7121
Multiply by the Conjugate
712×7126−7126
Multiply the numbers
More Steps

Evaluate
712×7126
The product of roots with the same index is equal to the root of the product
712×126
Calculate the product
7127
Reduce the index of the radical and exponent with 7
12
12−7126
Calculate
−127126
x=−127126
Alternative Form
x≈−0.701183
Show Solution
