Solve for p 7p^2+23p-1=-7

Math
Move to the left side of the equation by adding it to both sides.
Add and .
Factor by grouping.
Tap for more steps…
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps…
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Tap for more steps…
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Tap for more steps…
Set the first factor equal to .
Subtract from both sides of the equation.
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Set the next factor equal to and solve.
Tap for more steps…
Set the next factor equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for p 7p^2+23p-1=-7
Scroll to top