Question
Simplify the expression
637g2−g
Evaluate
g×51214×g−g
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
51214
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
125×12+14
Multiply the terms
1260+14
Add the terms
1274
g×1274g−g
Solution
More Steps

Multiply the terms
g×1274g
Multiply the terms
g2×1274
Use the commutative property to reorder the terms
More Steps

Evaluate
1×1274
Any expression multiplied by 1 remains the same
1274
Reduce the fraction
637
637g2
637g2−g
Show Solution

Factor the expression
61g(37g−6)
Evaluate
g×51214×g−g
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
51214
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
125×12+14
Multiply the terms
1260+14
Add the terms
1274
g×1274g−g
Multiply
More Steps

Multiply the terms
g×1274g
Multiply the terms
g2×1274
Use the commutative property to reorder the terms
More Steps

Evaluate
1×1274
Any expression multiplied by 1 remains the same
1274
Reduce the fraction
637
637g2
637g2−g
Rewrite the expression
61g×37g−61g×6
Solution
61g(37g−6)
Show Solution

Find the roots
g1=0,g2=376
Alternative Form
g1=0,g2=0.1˙62˙
Evaluate
g×51214×g−g
To find the roots of the expression,set the expression equal to 0
g×51214×g−g=0
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
51214
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
125×12+14
Multiply the terms
1260+14
Add the terms
1274
g×1274g−g=0
Multiply
More Steps

Multiply the terms
g×1274g
Multiply the terms
g2×1274
Use the commutative property to reorder the terms
More Steps

Evaluate
1×1274
Any expression multiplied by 1 remains the same
1274
Reduce the fraction
637
637g2
637g2−g=0
Factor the expression
More Steps

Evaluate
637g2−g
Rewrite the expression
61g×37g−61g×6
Factor out 61g from the expression
61g(37g−6)
61g(37g−6)=0
When the product of factors equals 0,at least one factor is 0
61g=037g−6=0
Solve the equation for g
g=037g−6=0
Solve the equation for g
More Steps

Evaluate
37g−6=0
Move the constant to the right-hand side and change its sign
37g=0+6
Removing 0 doesn't change the value,so remove it from the expression
37g=6
Divide both sides
3737g=376
Divide the numbers
g=376
g=0g=376
Solution
g1=0,g2=376
Alternative Form
g1=0,g2=0.1˙62˙
Show Solution
