Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−36x2−12x
Evaluate
6x(−6x)−12x
Solution
More Steps
Evaluate
6x(−6x)
Rewrite the expression
−6x×6x
Multiply the terms
−36x×x
Multiply the terms
−36x2
−36x2−12x
Show Solution
Factor the expression
−12x(3x+1)
Evaluate
6x(−6x)−12x
Multiply
More Steps
Evaluate
6x(−6x)
Rewrite the expression
−6x×6x
Multiply the terms
−36x×x
Multiply the terms
−36x2
−36x2−12x
Rewrite the expression
−12x×3x−12x
Solution
−12x(3x+1)
Show Solution
Find the roots
x1=−31,x2=0
Alternative Form
x1=−0.3˙,x2=0
Evaluate
6x(−6x)−12x
To find the roots of the expression,set the expression equal to 0
6x(−6x)−12x=0
Multiply
More Steps
Multiply the terms
6x(−6x)
Rewrite the expression
−6x×6x
Multiply the terms
−36x×x
Multiply the terms
−36x2
−36x2−12x=0
Factor the expression
More Steps
Evaluate
−36x2−12x
Rewrite the expression
−12x×3x−12x
Factor out −12x from the expression
−12x(3x+1)
−12x(3x+1)=0
When the product of factors equals 0,at least one factor is 0
−12x=03x+1=0
Solve the equation for x
More Steps
Evaluate
−12x=0
Change the signs on both sides of the equation
12x=0
Rewrite the expression
x=0
x=03x+1=0
Solve the equation for x
More Steps
Evaluate
3x+1=0
Move the constant to the right-hand side and change its sign
3x=0−1
Removing 0 doesn't change the value,so remove it from the expression
3x=−1
Divide both sides
33x=3−1
Divide the numbers
x=3−1
Use b−a=−ba=−ba to rewrite the fraction
x=−31
x=0x=−31
Solution
x1=−31,x2=0
Alternative Form
x1=−0.3˙,x2=0
Show Solution