3(p-3)(p-3)-2(p-3)+4=0

Simple and best practice solution for 3(p-3)(p-3)-2(p-3)+4=0 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 3(p-3)(p-3)-2(p-3)+4=0 equation: 


Simplifying
3(p + -3)(p + -3) + -2(p + -3) + 4 = 0

Reorder the terms:
3(-3 + p)(p + -3) + -2(p + -3) + 4 = 0

Reorder the terms:
3(-3 + p)(-3 + p) + -2(p + -3) + 4 = 0

Multiply (-3 + p) * (-3 + p)
3(-3(-3 + p) + p(-3 + p)) + -2(p + -3) + 4 = 0
3((-3 * -3 + p * -3) + p(-3 + p)) + -2(p + -3) + 4 = 0
3((9 + -3p) + p(-3 + p)) + -2(p + -3) + 4 = 0
3(9 + -3p + (-3 * p + p * p)) + -2(p + -3) + 4 = 0
3(9 + -3p + (-3p + p2)) + -2(p + -3) + 4 = 0

Combine like terms: -3p + -3p = -6p
3(9 + -6p + p2) + -2(p + -3) + 4 = 0
(9 * 3 + -6p * 3 + p2 * 3) + -2(p + -3) + 4 = 0
(27 + -18p + 3p2) + -2(p + -3) + 4 = 0

Reorder the terms:
27 + -18p + 3p2 + -2(-3 + p) + 4 = 0
27 + -18p + 3p2 + (-3 * -2 + p * -2) + 4 = 0
27 + -18p + 3p2 + (6 + -2p) + 4 = 0

Reorder the terms:
27 + 6 + 4 + -18p + -2p + 3p2 = 0

Combine like terms: 27 + 6 = 33
33 + 4 + -18p + -2p + 3p2 = 0

Combine like terms: 33 + 4 = 37
37 + -18p + -2p + 3p2 = 0

Combine like terms: -18p + -2p = -20p
37 + -20p + 3p2 = 0

Solving
37 + -20p + 3p2 = 0

Solving for variable 'p'.

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

Divide each side by '3'.
12.33333333 + -6.666666667p + p2 = 0

Move the constant term to the right:

Add '-12.33333333' to each side of the equation.
12.33333333 + -6.666666667p + -12.33333333 + p2 = 0 + -12.33333333

Reorder the terms:
12.33333333 + -12.33333333 + -6.666666667p + p2 = 0 + -12.33333333

Combine like terms: 12.33333333 + -12.33333333 = 0.00000000
0.00000000 + -6.666666667p + p2 = 0 + -12.33333333
-6.666666667p + p2 = 0 + -12.33333333

Combine like terms: 0 + -12.33333333 = -12.33333333
-6.666666667p + p2 = -12.33333333

The p term is -6.666666667p.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667p + 11.11111112 + p2 = -12.33333333 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667p + p2 = -12.33333333 + 11.11111112

Combine like terms: -12.33333333 + 11.11111112 = -1.22222221
11.11111112 + -6.666666667p + p2 = -1.22222221

Factor a perfect square on the left side:
(p + -3.333333334)(p + -3.333333334) = -1.22222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| A=1/22916 | | 1/2a-3=4 | | -22+5n=6(n-3) | | -6(7n+6)=-2n+4 | | 5(5a-5)-[3(4a-2)+1]= | | 5=6-3w | | 7+8(2w-3)=31 | | -3x-11x=84 | | -5-4x-2x-3+8x= | | x^5-10x^4+9x^2=0 | | -8+x=-8(1+8x) | | x=702/20 | | -4.15(6.5-7.9v)=-6.8+6.9(2.2v-0.5) | | 15+3m-2=4 | | x=702.00+.20 | | 8m+14+m=59 | | 180p+60c=3000 | | 480/x-1/2=480/x+4 | | .9(9x+5)=1.6-(x-3) | | x^2(x-5)+12(x-5)= | | -13x=377 | | 0.6x+12.3=x-9.74 | | .9(9x+4)=.7-(x-3) | | 16x^2+24x= | | x/2=1+(x-20/5) | | 3(4x-2.6)=2x-7.8 | | 107=-5(3m-7)+6m | | -1/5-(7/10) | | -4r+2-5+4+r-1= | | 9+6v=6v-6+7v | | -0.3x+9.96=0.1x+8.36 | | -133=7(1+5r) |

Equations solver categories