If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4p2 + 9p = 5 Reorder the terms: 9p + 4p2 = 5 Solving 9p + 4p2 = 5 Solving for variable 'p'. Reorder the terms: -5 + 9p + 4p2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 9p + 4p2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.25 + 2.25p + p2 = 0 Move the constant term to the right: Add '1.25' to each side of the equation. -1.25 + 2.25p + 1.25 + p2 = 0 + 1.25 Reorder the terms: -1.25 + 1.25 + 2.25p + p2 = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + 2.25p + p2 = 0 + 1.25 2.25p + p2 = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 2.25p + p2 = 1.25 The p term is 2.25p. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25p + 1.265625 + p2 = 1.25 + 1.265625 Reorder the terms: 1.265625 + 2.25p + p2 = 1.25 + 1.265625 Combine like terms: 1.25 + 1.265625 = 2.515625 1.265625 + 2.25p + p2 = 2.515625 Factor a perfect square on the left side: (p + 1.125)(p + 1.125) = 2.515625 Calculate the square root of the right side: 1.586072193 Break this problem into two subproblems by setting (p + 1.125) equal to 1.586072193 and -1.586072193.Subproblem 1
p + 1.125 = 1.586072193 Simplifying p + 1.125 = 1.586072193 Reorder the terms: 1.125 + p = 1.586072193 Solving 1.125 + p = 1.586072193 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + p = 1.586072193 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + p = 1.586072193 + -1.125 p = 1.586072193 + -1.125 Combine like terms: 1.586072193 + -1.125 = 0.461072193 p = 0.461072193 Simplifying p = 0.461072193Subproblem 2
p + 1.125 = -1.586072193 Simplifying p + 1.125 = -1.586072193 Reorder the terms: 1.125 + p = -1.586072193 Solving 1.125 + p = -1.586072193 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + p = -1.586072193 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + p = -1.586072193 + -1.125 p = -1.586072193 + -1.125 Combine like terms: -1.586072193 + -1.125 = -2.711072193 p = -2.711072193 Simplifying p = -2.711072193Solution
The solution to the problem is based on the solutions from the subproblems. p = {0.461072193, -2.711072193}
| 6xy-3xy= | | 3*x^3=24 | | 9t-8=28 | | -6a-17=-19 | | t+-7+b=yfort | | -22y=-2y-96 | | 2x^2-17x-15=0 | | -2x+7+7x=-8 | | -8(3x-4)=4(5x-50)-3 | | 10x^4+9x^2+1=0 | | (X+25)=(2x-2) | | -(-6+22n)-16= | | -2x-34=-6(x+9) | | 2y+6=2 | | 10x-11=79-5x | | 31w-4w=10w+10 | | 2x-10y=-2 | | (X+-24)=(2x-2) | | x+0.40x=56 | | -8x+4(x-6)=-16 | | 14x+6=x+16 | | 17=g-15 | | ax+7=3x+a | | 4x+15=37 | | 8(x-3)+8=5x | | -8x+9=-10x-3 | | 9-6x=8-7x | | 9x+1-7x=-15 | | (x-9)(9-0)=0 | | x+0.40x=36 | | 17x+(x-31)=2(5x-50)-3 | | m^2-9x=m-3 |