3(3p+3)3p=-3

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


Simplifying
3(3p + 3) * 3p = -3

Reorder the terms:
3(3 + 3p) * 3p = -3

Reorder the terms for easier multiplication:
3 * 3p(3 + 3p) = -3

Multiply 3 * 3
9p(3 + 3p) = -3
(3 * 9p + 3p * 9p) = -3
(27p + 27p2) = -3

Solving
27p + 27p2 = -3

Solving for variable 'p'.

Reorder the terms:
3 + 27p + 27p2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 27p + 27p2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 9p + 9p2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(1 + 9p + 9p2)' equal to zero and attempt to solve: Simplifying 1 + 9p + 9p2 = 0 Solving 1 + 9p + 9p2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.1111111111 + p + p2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + p + -0.1111111111 + p2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + p + p2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + p + p2 = 0 + -0.1111111111 p + p2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 p + p2 = -0.1111111111 The p term is p. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + p2 = -0.1111111111 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + p2 = -0.1111111111 + 0.25 Combine like terms: -0.1111111111 + 0.25 = 0.1388888889 1.25 + p2 = 0.1388888889 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = 0.1388888889 Calculate the square root of the right side: 0.372677996 Break this problem into two subproblems by setting (p + 0.5) equal to 0.372677996 and -0.372677996.

Subproblem 1

p + 0.5 = 0.372677996 Simplifying p + 0.5 = 0.372677996 Reorder the terms: 0.5 + p = 0.372677996 Solving 0.5 + p = 0.372677996 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + p = 0.372677996 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + p = 0.372677996 + -0.5 p = 0.372677996 + -0.5 Combine like terms: 0.372677996 + -0.5 = -0.127322004 p = -0.127322004 Simplifying p = -0.127322004

Subproblem 2

p + 0.5 = -0.372677996 Simplifying p + 0.5 = -0.372677996 Reorder the terms: 0.5 + p = -0.372677996 Solving 0.5 + p = -0.372677996 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + p = -0.372677996 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + p = -0.372677996 + -0.5 p = -0.372677996 + -0.5 Combine like terms: -0.372677996 + -0.5 = -0.872677996 p = -0.872677996 Simplifying p = -0.872677996

Solution

The solution to the problem is based on the solutions from the subproblems. p = {-0.127322004, -0.872677996}

Solution

p = {-0.127322004, -0.872677996}

See similar equations:

| 5x-2x=-6 | | 0.2y+5.23=-12.45 | | 4(2w+1)-3=17 | | -6y+-37=95 | | 50a^2-72=0 | | (1/(x+1))+(4/(x+7))=1 | | 3x+30=1x+20 | | 4/5x^2-5=0 | | 1-3x=-5 | | 3x=56-4x | | 2x+50=3x+40 | | 6(b-2)=54 | | x/z+4=12 | | 4(y+2)+2(3y-7)=3(3y-1) | | 39/3 | | x^2+8x+5=2 | | (-4/3)p+6=12 | | ln(x+3)+ln(x-3)=ln(x+11) | | -4/3p+6=12 | | 11x^2+5x-3=0 | | a/-10=7 | | -12-4= | | -3/4x=6 | | x+10+2x+2x+20+3x-20=360 | | y^2+13+8=6y-4 | | (1/x+1)+(4/x+7)=1 | | -22+x/5+15=-12-4 | | 15+3t=17-5 | | x+x+x+20+x-20=360 | | x+x+x+x+20+x-20=360 | | 2(3p-6)=3p-9 | | 3-9c=7 |

Equations solver categories