Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2y−294y2
Evaluate
2y−3y×14y×7
Solution
More Steps
Evaluate
3y×14y×7
Multiply the terms
More Steps
Evaluate
3×14×7
Multiply the terms
42×7
Multiply the numbers
294
294y×y
Multiply the terms
294y2
2y−294y2
Show Solution
Factor the expression
2y(1−147y)
Evaluate
2y−3y×14y×7
Multiply
More Steps
Evaluate
3y×14y×7
Multiply the terms
More Steps
Evaluate
3×14×7
Multiply the terms
42×7
Multiply the numbers
294
294y×y
Multiply the terms
294y2
2y−294y2
Rewrite the expression
2y−2y×147y
Solution
2y(1−147y)
Show Solution
Find the roots
y1=0,y2=1471
Alternative Form
y1=0,y2≈0.006803
Evaluate
2y−3y×14y×7
To find the roots of the expression,set the expression equal to 0
2y−3y×14y×7=0
Multiply
More Steps
Multiply the terms
3y×14y×7
Multiply the terms
More Steps
Evaluate
3×14×7
Multiply the terms
42×7
Multiply the numbers
294
294y×y
Multiply the terms
294y2
2y−294y2=0
Factor the expression
More Steps
Evaluate
2y−294y2
Rewrite the expression
2y−2y×147y
Factor out 2y from the expression
2y(1−147y)
2y(1−147y)=0
When the product of factors equals 0,at least one factor is 0
2y=01−147y=0
Solve the equation for y
y=01−147y=0
Solve the equation for y
More Steps
Evaluate
1−147y=0
Move the constant to the right-hand side and change its sign
−147y=0−1
Removing 0 doesn't change the value,so remove it from the expression
−147y=−1
Change the signs on both sides of the equation
147y=1
Divide both sides
147147y=1471
Divide the numbers
y=1471
y=0y=1471
Solution
y1=0,y2=1471
Alternative Form
y1=0,y2≈0.006803
Show Solution