If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying p2 + 3p + -9 = 0 Reorder the terms: -9 + 3p + p2 = 0 Solving -9 + 3p + p2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '9' to each side of the equation. -9 + 3p + 9 + p2 = 0 + 9 Reorder the terms: -9 + 9 + 3p + p2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3p + p2 = 0 + 9 3p + p2 = 0 + 9 Combine like terms: 0 + 9 = 9 3p + p2 = 9 The p term is 3p. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3p + 2.25 + p2 = 9 + 2.25 Reorder the terms: 2.25 + 3p + p2 = 9 + 2.25 Combine like terms: 9 + 2.25 = 11.25 2.25 + 3p + p2 = 11.25 Factor a perfect square on the left side: (p + 1.5)(p + 1.5) = 11.25 Calculate the square root of the right side: 3.354101966 Break this problem into two subproblems by setting (p + 1.5) equal to 3.354101966 and -3.354101966.Subproblem 1
p + 1.5 = 3.354101966 Simplifying p + 1.5 = 3.354101966 Reorder the terms: 1.5 + p = 3.354101966 Solving 1.5 + p = 3.354101966 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + p = 3.354101966 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + p = 3.354101966 + -1.5 p = 3.354101966 + -1.5 Combine like terms: 3.354101966 + -1.5 = 1.854101966 p = 1.854101966 Simplifying p = 1.854101966Subproblem 2
p + 1.5 = -3.354101966 Simplifying p + 1.5 = -3.354101966 Reorder the terms: 1.5 + p = -3.354101966 Solving 1.5 + p = -3.354101966 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + p = -3.354101966 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + p = -3.354101966 + -1.5 p = -3.354101966 + -1.5 Combine like terms: -3.354101966 + -1.5 = -4.854101966 p = -4.854101966 Simplifying p = -4.854101966Solution
The solution to the problem is based on the solutions from the subproblems. p = {1.854101966, -4.854101966}
| t^2+1-t=0 | | r^2+20x+67=3 | | z^2=-100 | | r^2-20r+74=-4 | | 31-13+5x=28 | | -4(x+2)+2x+5=6x+10 | | m^2-12m-6=7 | | 4(2x-5)=5x+4 | | -13-12m-m^2=0 | | (2X-10)(X+3)=0 | | 5(x+2)=5x+10 | | 7=9y-(10-8y) | | 4x^2+5=9x | | 9(x+1)-3x=2(x+3)-9 | | -5x+20y=0 | | v^2-8v-6=0 | | 4(5z-1)-5(z+6)=3(z+1) | | p^2-16p+51=-4 | | 7x+4=2x-11 | | 5x+7(x-11)=5(x-14) | | 4x-2=180 | | x^2-14x-56=-5 | | 7=-d+17 | | -3(x-14)=42 | | 0.1(1-x)=0.3(x+2) | | x+-8=-6 | | 5x^2+25=90 | | 46-2x=7x+20 | | 7x^2+8=16 | | x^2-2x-40=0 | | 5(x+7)=2(2x+7) | | 5x+4=x^2-6 |