Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−(x+3)(7x+3)
Evaluate
−7x2−24x−9
Factor out −1 from the expression
−(7x2+24x+9)
Solution
More Steps
Evaluate
7x2+24x+9
Rewrite the expression
7x2+(3+21)x+9
Calculate
7x2+3x+21x+9
Rewrite the expression
x×7x+x×3+3×7x+3×3
Factor out x from the expression
x(7x+3)+3×7x+3×3
Factor out 3 from the expression
x(7x+3)+3(7x+3)
Factor out 7x+3 from the expression
(x+3)(7x+3)
−(x+3)(7x+3)
Show Solution
Find the roots
x1=−3,x2=−73
Alternative Form
x1=−3,x2=−0.4˙28571˙
Evaluate
−7x2−24x−9
To find the roots of the expression,set the expression equal to 0
−7x2−24x−9=0
Factor the expression
More Steps
Evaluate
−7x2−24x−9
Factor out −1 from the expression
−(7x2+24x+9)
Factor the expression
More Steps
Evaluate
7x2+24x+9
Rewrite the expression
7x2+(3+21)x+9
Calculate
7x2+3x+21x+9
Rewrite the expression
x×7x+x×3+3×7x+3×3
Factor out x from the expression
x(7x+3)+3×7x+3×3
Factor out 3 from the expression
x(7x+3)+3(7x+3)
Factor out 7x+3 from the expression
(x+3)(7x+3)
−(x+3)(7x+3)
−(x+3)(7x+3)=0
Divide the terms
(x+3)(7x+3)=0
When the product of factors equals 0,at least one factor is 0
x+3=07x+3=0
Solve the equation for x
More Steps
Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0−3
Removing 0 doesn't change the value,so remove it from the expression
x=−3
x=−37x+3=0
Solve the equation for x
More Steps
Evaluate
7x+3=0
Move the constant to the right-hand side and change its sign
7x=0−3
Removing 0 doesn't change the value,so remove it from the expression
7x=−3
Divide both sides
77x=7−3
Divide the numbers
x=7−3
Use b−a=−ba=−ba to rewrite the fraction
x=−73
x=−3x=−73
Solution
x1=−3,x2=−73
Alternative Form
x1=−3,x2=−0.4˙28571˙
Show Solution