Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−1)(7x+5)
Evaluate
7x2−2x−5
Rewrite the expression
7x2+(5−7)x−5
Calculate
7x2+5x−7x−5
Rewrite the expression
x×7x+x×5−7x−5
Factor out x from the expression
x(7x+5)−7x−5
Factor out −1 from the expression
x(7x+5)−(7x+5)
Solution
(x−1)(7x+5)
Show Solution
Find the roots
x1=−75,x2=1
Alternative Form
x1=−0.7˙14285˙,x2=1
Evaluate
7x2−2x−5
To find the roots of the expression,set the expression equal to 0
7x2−2x−5=0
Factor the expression
More Steps
Evaluate
7x2−2x−5
Rewrite the expression
7x2+(5−7)x−5
Calculate
7x2+5x−7x−5
Rewrite the expression
x×7x+x×5−7x−5
Factor out x from the expression
x(7x+5)−7x−5
Factor out −1 from the expression
x(7x+5)−(7x+5)
Factor out 7x+5 from the expression
(x−1)(7x+5)
(x−1)(7x+5)=0
When the product of factors equals 0,at least one factor is 0
x−1=07x+5=0
Solve the equation for x
More Steps
Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=17x+5=0
Solve the equation for x
More Steps
Evaluate
7x+5=0
Move the constant to the right-hand side and change its sign
7x=0−5
Removing 0 doesn't change the value,so remove it from the expression
7x=−5
Divide both sides
77x=7−5
Divide the numbers
x=7−5
Use b−a=−ba=−ba to rewrite the fraction
x=−75
x=1x=−75
Solution
x1=−75,x2=1
Alternative Form
x1=−0.7˙14285˙,x2=1
Show Solution