Question
Simplify the expression
1950−19740000x4
Evaluate
1950−300×235x4×280
Solution
More Steps

Evaluate
300×235×280
Multiply the terms
70500×280
Multiply the numbers
19740000
1950−19740000x4
Show Solution

Factor the expression
150(13−131600x4)
Evaluate
1950−300×235x4×280
Multiply the terms
More Steps

Evaluate
300×235×280
Multiply the terms
70500×280
Multiply the numbers
19740000
1950−19740000x4
Solution
150(13−131600x4)
Show Solution

Find the roots
x1=−16450413×82253,x2=16450413×82253
Alternative Form
x1≈−0.099695,x2≈0.099695
Evaluate
1950−300(235x4)×280
To find the roots of the expression,set the expression equal to 0
1950−300(235x4)×280=0
Multiply the terms
1950−300×235x4×280=0
Multiply the terms
More Steps

Multiply the terms
300×235x4×280
Multiply the terms
More Steps

Evaluate
300×235×280
Multiply the terms
70500×280
Multiply the numbers
19740000
19740000x4
1950−19740000x4=0
Move the constant to the right-hand side and change its sign
−19740000x4=0−1950
Removing 0 doesn't change the value,so remove it from the expression
−19740000x4=−1950
Change the signs on both sides of the equation
19740000x4=1950
Divide both sides
1974000019740000x4=197400001950
Divide the numbers
x4=197400001950
Cancel out the common factor 150
x4=13160013
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±413160013
Simplify the expression
More Steps

Evaluate
413160013
To take a root of a fraction,take the root of the numerator and denominator separately
4131600413
Simplify the radical expression
More Steps

Evaluate
4131600
Write the expression as a product where the root of one of the factors can be evaluated
416×8225
Write the number in exponential form with the base of 2
424×8225
The root of a product is equal to the product of the roots of each factor
424×48225
Reduce the index of the radical and exponent with 4
248225
248225413
Multiply by the Conjugate
248225×482253413×482253
The product of roots with the same index is equal to the root of the product
248225×482253413×82253
Multiply the numbers
More Steps

Evaluate
248225×482253
Multiply the terms
2×8225
Multiply the terms
16450
16450413×82253
x=±16450413×82253
Separate the equation into 2 possible cases
x=16450413×82253x=−16450413×82253
Solution
x1=−16450413×82253,x2=16450413×82253
Alternative Form
x1≈−0.099695,x2≈0.099695
Show Solution
