If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2(p2 + 9p + -18) = 0 Reorder the terms: 2(-18 + 9p + p2) = 0 (-18 * 2 + 9p * 2 + p2 * 2) = 0 (-36 + 18p + 2p2) = 0 Solving -36 + 18p + 2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 9p + p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + 9p + p2)' equal to zero and attempt to solve: Simplifying -18 + 9p + p2 = 0 Solving -18 + 9p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '18' to each side of the equation. -18 + 9p + 18 + p2 = 0 + 18 Reorder the terms: -18 + 18 + 9p + p2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9p + p2 = 0 + 18 9p + p2 = 0 + 18 Combine like terms: 0 + 18 = 18 9p + p2 = 18 The p term is 9p. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9p + 20.25 + p2 = 18 + 20.25 Reorder the terms: 20.25 + 9p + p2 = 18 + 20.25 Combine like terms: 18 + 20.25 = 38.25 20.25 + 9p + p2 = 38.25 Factor a perfect square on the left side: (p + 4.5)(p + 4.5) = 38.25 Calculate the square root of the right side: 6.184658438 Break this problem into two subproblems by setting (p + 4.5) equal to 6.184658438 and -6.184658438.Subproblem 1
p + 4.5 = 6.184658438 Simplifying p + 4.5 = 6.184658438 Reorder the terms: 4.5 + p = 6.184658438 Solving 4.5 + p = 6.184658438 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + p = 6.184658438 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + p = 6.184658438 + -4.5 p = 6.184658438 + -4.5 Combine like terms: 6.184658438 + -4.5 = 1.684658438 p = 1.684658438 Simplifying p = 1.684658438Subproblem 2
p + 4.5 = -6.184658438 Simplifying p + 4.5 = -6.184658438 Reorder the terms: 4.5 + p = -6.184658438 Solving 4.5 + p = -6.184658438 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + p = -6.184658438 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + p = -6.184658438 + -4.5 p = -6.184658438 + -4.5 Combine like terms: -6.184658438 + -4.5 = -10.684658438 p = -10.684658438 Simplifying p = -10.684658438Solution
The solution to the problem is based on the solutions from the subproblems. p = {1.684658438, -10.684658438}Solution
p = {1.684658438, -10.684658438}
| 35x+12=38x | | -10=6h-(4h+1) | | X^2+2x=4x+20 | | 4k+k=15 | | 7x+13=11x+13 | | 4x+41-5x=2-8x+4 | | 4z-3z=15-22 | | 6.78j-5.2=4.33j | | 8x+4+7x=4 | | log(x)=.56 | | 2=6y+19 | | 8x+4+7x=7 | | -5p+4=4p+13 | | 2(x-4)-3(x+5)=2x-2 | | 306=18(3+2x) | | k-7.7=0 | | 5d-8-(5-6d)= | | -2+4x=-3+7x | | 3x/8+4=x/6-1 | | 3.75=v+1.25 | | t^5-4t=0 | | 0y=-3x+2 | | 6p-5-5(p+3)= | | 150x=3000+9x+.1x^2 | | 3(4x+1)+2(1+-5x)=2+x | | 41-2x=11-8x | | 25+2x=5x+10 | | 13x+4y=-24 | | 2x+40=45 | | 2(4x+1)+2(1-5x)=2+x | | 12x+5y=9 | | 1.8=r-3.9 |