Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2y2−20
Evaluate
y×2y−20
Solution
More Steps
Evaluate
y×2y
Multiply the terms
y2×2
Use the commutative property to reorder the terms
2y2
2y2−20
Show Solution
Factor the expression
2(y2−10)
Evaluate
y×2y−20
Multiply
More Steps
Evaluate
y×2y
Multiply the terms
y2×2
Use the commutative property to reorder the terms
2y2
2y2−20
Solution
2(y2−10)
Show Solution
Find the roots
y1=−10,y2=10
Alternative Form
y1≈−3.162278,y2≈3.162278
Evaluate
y×2y−20
To find the roots of the expression,set the expression equal to 0
y×2y−20=0
Multiply
More Steps
Multiply the terms
y×2y
Multiply the terms
y2×2
Use the commutative property to reorder the terms
2y2
2y2−20=0
Move the constant to the right-hand side and change its sign
2y2=0+20
Removing 0 doesn't change the value,so remove it from the expression
2y2=20
Divide both sides
22y2=220
Divide the numbers
y2=220
Divide the numbers
More Steps
Evaluate
220
Reduce the numbers
110
Calculate
10
y2=10
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±10
Separate the equation into 2 possible cases
y=10y=−10
Solution
y1=−10,y2=10
Alternative Form
y1≈−3.162278,y2≈3.162278
Show Solution