Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(5y+4)(7y−3)
Evaluate
35y2+13y−12
Rewrite the expression
35y2+(−15+28)y−12
Calculate
35y2−15y+28y−12
Rewrite the expression
5y×7y−5y×3+4×7y−4×3
Factor out 5y from the expression
5y(7y−3)+4×7y−4×3
Factor out 4 from the expression
5y(7y−3)+4(7y−3)
Solution
(5y+4)(7y−3)
Show Solution
Find the roots
y1=−54,y2=73
Alternative Form
y1=−0.8,y2=0.4˙28571˙
Evaluate
35y2+13y−12
To find the roots of the expression,set the expression equal to 0
35y2+13y−12=0
Factor the expression
More Steps
Evaluate
35y2+13y−12
Rewrite the expression
35y2+(−15+28)y−12
Calculate
35y2−15y+28y−12
Rewrite the expression
5y×7y−5y×3+4×7y−4×3
Factor out 5y from the expression
5y(7y−3)+4×7y−4×3
Factor out 4 from the expression
5y(7y−3)+4(7y−3)
Factor out 7y−3 from the expression
(5y+4)(7y−3)
(5y+4)(7y−3)=0
When the product of factors equals 0,at least one factor is 0
5y+4=07y−3=0
Solve the equation for y
More Steps
Evaluate
5y+4=0
Move the constant to the right-hand side and change its sign
5y=0−4
Removing 0 doesn't change the value,so remove it from the expression
5y=−4
Divide both sides
55y=5−4
Divide the numbers
y=5−4
Use b−a=−ba=−ba to rewrite the fraction
y=−54
y=−547y−3=0
Solve the equation for y
More Steps
Evaluate
7y−3=0
Move the constant to the right-hand side and change its sign
7y=0+3
Removing 0 doesn't change the value,so remove it from the expression
7y=3
Divide both sides
77y=73
Divide the numbers
y=73
y=−54y=73
Solution
y1=−54,y2=73
Alternative Form
y1=−0.8,y2=0.4˙28571˙
Show Solution