3p^2-p-3=-7

Simple and best practice solution for 3p^2-p-3=-7 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3p^2-p-3=-7 equation: 


Simplifying
3p2 + -1p + -3 = -7

Reorder the terms:
-3 + -1p + 3p2 = -7

Solving
-3 + -1p + 3p2 = -7

Solving for variable 'p'.

Reorder the terms:
-3 + 7 + -1p + 3p2 = -7 + 7

Combine like terms: -3 + 7 = 4
4 + -1p + 3p2 = -7 + 7

Combine like terms: -7 + 7 = 0
4 + -1p + 3p2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1.333333333 + -0.3333333333p + p2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.3333333333p + -1.333333333 + p2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.3333333333p + p2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.3333333333p + p2 = 0 + -1.333333333
-0.3333333333p + p2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.3333333333p + p2 = -1.333333333

The p term is -0.3333333333p.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333p + 0.02777777779 + p2 = -1.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333p + p2 = -1.333333333 + 0.02777777779

Combine like terms: -1.333333333 + 0.02777777779 = -1.30555555521
0.02777777779 + -0.3333333333p + p2 = -1.30555555521

Factor a perfect square on the left side:
(p + -0.1666666667)(p + -0.1666666667) = -1.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 49=-105-14x | | 40a+50b=8400 | | -.5x^2+4x=11 | | 28j=756 | | 7500=100timesh | | 8(z^2)=(x^2)+(y^2)-6(x*y*z) | | 9(x+3)-7=3x+6(3+x) | | -5+7(-n-6)=-31+n | | 14=b+22 | | 1+2m-5-2m=0 | | 21-5x^2=0 | | y=x+40 | | x^4+2x^3-3x^2-14x-28=0 | | x^2-4x+1=x^2-3x+10 | | 17x-5x+10=4(8x-9) | | x^2-10x+20=8-2x | | 6*r=36 | | -6(-6b-7)=7b+13 | | 84-84= | | 2x*x=7800 | | 4(8x-2)-8=3(7x-4)-20 | | y+y+120=180 | | 7m+2-m=10+2m | | 7n-4=5 | | x^2-5x-30=6 | | 0.3t+0.7(t-0.2)=3.94 | | -5=5v-25-7v | | 6d-15d-99=0 | | 5(x-2)-5=8-3(2x+7) | | 11=2n-6+9 | | x+2=(x-4)(x-4) | | 7+9q=-11 |

Equations solver categories