Question
Solve the equation
x=553750
Alternative Form
x≈1.037137
Evaluate
2(−x×1)×5x4=−12
Rewrite the expression
2(−x)×1×5x4=−12
Multiply the terms
More Steps

Evaluate
2(−x)×1×5x4
Rewrite the expression
2(−x)×5x4
Any expression multiplied by 1 remains the same
2(−1)x×5x4
Any expression multiplied by 1 remains the same
−2x×5x4
Multiply the terms
−10x×x4
Multiply the terms with the same base by adding their exponents
−10x1+4
Add the numbers
−10x5
−10x5=−12
Change the signs on both sides of the equation
10x5=12
Divide both sides
1010x5=1012
Divide the numbers
x5=1012
Cancel out the common factor 2
x5=56
Take the 5-th root on both sides of the equation
5x5=556
Calculate
x=556
Solution
More Steps

Evaluate
556
To take a root of a fraction,take the root of the numerator and denominator separately
5556
Multiply by the Conjugate
55×55456×554
Simplify
55×55456×5625
Multiply the numbers
More Steps

Evaluate
56×5625
The product of roots with the same index is equal to the root of the product
56×625
Calculate the product
53750
55×55453750
Multiply the numbers
More Steps

Evaluate
55×554
The product of roots with the same index is equal to the root of the product
55×54
Calculate the product
555
Reduce the index of the radical and exponent with 5
5
553750
x=553750
Alternative Form
x≈1.037137
Show Solution
