Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−12x2−7840x
Evaluate
−12x2−70x×112
Solution
−12x2−7840x
Show Solution
Factor the expression
−4x(3x+1960)
Evaluate
−12x2−70x×112
Multiply the terms
−12x2−7840x
Rewrite the expression
−4x×3x−4x×1960
Solution
−4x(3x+1960)
Show Solution
Find the roots
x1=−31960,x2=0
Alternative Form
x1=−653.3˙,x2=0
Evaluate
−12x2−70x×112
To find the roots of the expression,set the expression equal to 0
−12x2−70x×112=0
Multiply the terms
−12x2−7840x=0
Factor the expression
More Steps
Evaluate
−12x2−7840x
Rewrite the expression
−4x×3x−4x×1960
Factor out −4x from the expression
−4x(3x+1960)
−4x(3x+1960)=0
When the product of factors equals 0,at least one factor is 0
−4x=03x+1960=0
Solve the equation for x
More Steps
Evaluate
−4x=0
Change the signs on both sides of the equation
4x=0
Rewrite the expression
x=0
x=03x+1960=0
Solve the equation for x
More Steps
Evaluate
3x+1960=0
Move the constant to the right-hand side and change its sign
3x=0−1960
Removing 0 doesn't change the value,so remove it from the expression
3x=−1960
Divide both sides
33x=3−1960
Divide the numbers
x=3−1960
Use b−a=−ba=−ba to rewrite the fraction
x=−31960
x=0x=−31960
Solution
x1=−31960,x2=0
Alternative Form
x1=−653.3˙,x2=0
Show Solution