Question
Simplify the expression
24y2−50y+25
Evaluate
(4y−5)(6y−5)
Apply the distributive property
4y×6y−4y×5−5×6y−(−5×5)
Multiply the terms
More Steps

Evaluate
4y×6y
Multiply the numbers
24y×y
Multiply the terms
24y2
24y2−4y×5−5×6y−(−5×5)
Multiply the numbers
24y2−20y−5×6y−(−5×5)
Multiply the numbers
24y2−20y−30y−(−5×5)
Multiply the numbers
24y2−20y−30y−(−25)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
24y2−20y−30y+25
Solution
More Steps

Evaluate
−20y−30y
Collect like terms by calculating the sum or difference of their coefficients
(−20−30)y
Subtract the numbers
−50y
24y2−50y+25
Show Solution

Find the roots
y1=65,y2=45
Alternative Form
y1=0.83˙,y2=1.25
Evaluate
(4y−5)(6y−5)
To find the roots of the expression,set the expression equal to 0
(4y−5)(6y−5)=0
Separate the equation into 2 possible cases
4y−5=06y−5=0
Solve the equation
More Steps

Evaluate
4y−5=0
Move the constant to the right-hand side and change its sign
4y=0+5
Removing 0 doesn't change the value,so remove it from the expression
4y=5
Divide both sides
44y=45
Divide the numbers
y=45
y=456y−5=0
Solve the equation
More Steps

Evaluate
6y−5=0
Move the constant to the right-hand side and change its sign
6y=0+5
Removing 0 doesn't change the value,so remove it from the expression
6y=5
Divide both sides
66y=65
Divide the numbers
y=65
y=45y=65
Solution
y1=65,y2=45
Alternative Form
y1=0.83˙,y2=1.25
Show Solution
