Question
Simplify the expression
280g4−60040
Evaluate
g4×280−60040
Solution
280g4−60040
Show Solution

Factor the expression
40(7g4−1501)
Evaluate
g4×280−60040
Use the commutative property to reorder the terms
280g4−60040
Solution
40(7g4−1501)
Show Solution

Find the roots
g1=−74514843,g2=74514843
Alternative Form
g1≈−3.826667,g2≈3.826667
Evaluate
g4×280−60040
To find the roots of the expression,set the expression equal to 0
g4×280−60040=0
Use the commutative property to reorder the terms
280g4−60040=0
Move the constant to the right-hand side and change its sign
280g4=0+60040
Removing 0 doesn't change the value,so remove it from the expression
280g4=60040
Divide both sides
280280g4=28060040
Divide the numbers
g4=28060040
Cancel out the common factor 40
g4=71501
Take the root of both sides of the equation and remember to use both positive and negative roots
g=±471501
Simplify the expression
More Steps

Evaluate
471501
To take a root of a fraction,take the root of the numerator and denominator separately
4741501
Multiply by the Conjugate
47×47341501×473
Simplify
47×47341501×4343
Multiply the numbers
More Steps

Evaluate
41501×4343
The product of roots with the same index is equal to the root of the product
41501×343
Calculate the product
4514843
47×4734514843
Multiply the numbers
More Steps

Evaluate
47×473
The product of roots with the same index is equal to the root of the product
47×73
Calculate the product
474
Reduce the index of the radical and exponent with 4
7
74514843
g=±74514843
Separate the equation into 2 possible cases
g=74514843g=−74514843
Solution
g1=−74514843,g2=74514843
Alternative Form
g1≈−3.826667,g2≈3.826667
Show Solution
