Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−80x2−434x
Evaluate
−80x2−62x×7
Solution
−80x2−434x
Show Solution
Factor the expression
−2x(40x+217)
Evaluate
−80x2−62x×7
Multiply the terms
−80x2−434x
Rewrite the expression
−2x×40x−2x×217
Solution
−2x(40x+217)
Show Solution
Find the roots
x1=−40217,x2=0
Alternative Form
x1=−5.425,x2=0
Evaluate
−80x2−62x×7
To find the roots of the expression,set the expression equal to 0
−80x2−62x×7=0
Multiply the terms
−80x2−434x=0
Factor the expression
More Steps
Evaluate
−80x2−434x
Rewrite the expression
−2x×40x−2x×217
Factor out −2x from the expression
−2x(40x+217)
−2x(40x+217)=0
When the product of factors equals 0,at least one factor is 0
−2x=040x+217=0
Solve the equation for x
More Steps
Evaluate
−2x=0
Change the signs on both sides of the equation
2x=0
Rewrite the expression
x=0
x=040x+217=0
Solve the equation for x
More Steps
Evaluate
40x+217=0
Move the constant to the right-hand side and change its sign
40x=0−217
Removing 0 doesn't change the value,so remove it from the expression
40x=−217
Divide both sides
4040x=40−217
Divide the numbers
x=40−217
Use b−a=−ba=−ba to rewrite the fraction
x=−40217
x=0x=−40217
Solution
x1=−40217,x2=0
Alternative Form
x1=−5.425,x2=0
Show Solution