Question
Simplify the expression
315f2−420f
Evaluate
5(3f−4)×21f
Multiply the terms
105(3f−4)f
Multiply the terms
105f(3f−4)
Apply the distributive property
105f×3f−105f×4
Multiply the terms
More Steps

Evaluate
105f×3f
Multiply the numbers
315f×f
Multiply the terms
315f2
315f2−105f×4
Solution
315f2−420f
Show Solution

Find the roots
f1=0,f2=34
Alternative Form
f1=0,f2=1.3˙
Evaluate
5(3f−4)×21f
To find the roots of the expression,set the expression equal to 0
5(3f−4)×21f=0
Multiply
More Steps

Multiply the terms
5(3f−4)×21f
Multiply the terms
105(3f−4)f
Multiply the terms
105f(3f−4)
105f(3f−4)=0
Elimination the left coefficient
f(3f−4)=0
Separate the equation into 2 possible cases
f=03f−4=0
Solve the equation
More Steps

Evaluate
3f−4=0
Move the constant to the right-hand side and change its sign
3f=0+4
Removing 0 doesn't change the value,so remove it from the expression
3f=4
Divide both sides
33f=34
Divide the numbers
f=34
f=0f=34
Solution
f1=0,f2=34
Alternative Form
f1=0,f2=1.3˙
Show Solution
