Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−10)(7x+1)
Evaluate
7x2−69x−10
Rewrite the expression
7x2+(1−70)x−10
Calculate
7x2+x−70x−10
Rewrite the expression
x×7x+x−10×7x−10
Factor out x from the expression
x(7x+1)−10×7x−10
Factor out −10 from the expression
x(7x+1)−10(7x+1)
Solution
(x−10)(7x+1)
Show Solution
Find the roots
x1=−71,x2=10
Alternative Form
x1=−0.1˙42857˙,x2=10
Evaluate
7x2−69x−10
To find the roots of the expression,set the expression equal to 0
7x2−69x−10=0
Factor the expression
More Steps
Evaluate
7x2−69x−10
Rewrite the expression
7x2+(1−70)x−10
Calculate
7x2+x−70x−10
Rewrite the expression
x×7x+x−10×7x−10
Factor out x from the expression
x(7x+1)−10×7x−10
Factor out −10 from the expression
x(7x+1)−10(7x+1)
Factor out 7x+1 from the expression
(x−10)(7x+1)
(x−10)(7x+1)=0
When the product of factors equals 0,at least one factor is 0
x−10=07x+1=0
Solve the equation for x
More Steps
Evaluate
x−10=0
Move the constant to the right-hand side and change its sign
x=0+10
Removing 0 doesn't change the value,so remove it from the expression
x=10
x=107x+1=0
Solve the equation for x
More Steps
Evaluate
7x+1=0
Move the constant to the right-hand side and change its sign
7x=0−1
Removing 0 doesn't change the value,so remove it from the expression
7x=−1
Divide both sides
77x=7−1
Divide the numbers
x=7−1
Use b−a=−ba=−ba to rewrite the fraction
x=−71
x=10x=−71
Solution
x1=−71,x2=10
Alternative Form
x1=−0.1˙42857˙,x2=10
Show Solution