If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9p2 + 18p = 10 Reorder the terms: 18p + 9p2 = 10 Solving 18p + 9p2 = 10 Solving for variable 'p'. Reorder the terms: -10 + 18p + 9p2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 18p + 9p2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -1.111111111 + 2p + p2 = 0 Move the constant term to the right: Add '1.111111111' to each side of the equation. -1.111111111 + 2p + 1.111111111 + p2 = 0 + 1.111111111 Reorder the terms: -1.111111111 + 1.111111111 + 2p + p2 = 0 + 1.111111111 Combine like terms: -1.111111111 + 1.111111111 = 0.000000000 0.000000000 + 2p + p2 = 0 + 1.111111111 2p + p2 = 0 + 1.111111111 Combine like terms: 0 + 1.111111111 = 1.111111111 2p + p2 = 1.111111111 The p term is 2p. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2p + 1 + p2 = 1.111111111 + 1 Reorder the terms: 1 + 2p + p2 = 1.111111111 + 1 Combine like terms: 1.111111111 + 1 = 2.111111111 1 + 2p + p2 = 2.111111111 Factor a perfect square on the left side: (p + 1)(p + 1) = 2.111111111 Calculate the square root of the right side: 1.452966314 Break this problem into two subproblems by setting (p + 1) equal to 1.452966314 and -1.452966314.Subproblem 1
p + 1 = 1.452966314 Simplifying p + 1 = 1.452966314 Reorder the terms: 1 + p = 1.452966314 Solving 1 + p = 1.452966314 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 1.452966314 + -1 Combine like terms: 1 + -1 = 0 0 + p = 1.452966314 + -1 p = 1.452966314 + -1 Combine like terms: 1.452966314 + -1 = 0.452966314 p = 0.452966314 Simplifying p = 0.452966314Subproblem 2
p + 1 = -1.452966314 Simplifying p + 1 = -1.452966314 Reorder the terms: 1 + p = -1.452966314 Solving 1 + p = -1.452966314 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = -1.452966314 + -1 Combine like terms: 1 + -1 = 0 0 + p = -1.452966314 + -1 p = -1.452966314 + -1 Combine like terms: -1.452966314 + -1 = -2.452966314 p = -2.452966314 Simplifying p = -2.452966314Solution
The solution to the problem is based on the solutions from the subproblems. p = {0.452966314, -2.452966314}
| x^2-5x=6 | | 2x^2-4=-204 | | 2x^2-8=-170 | | x(5x+10)=2x^2-3x+30 | | 8x^2-8x-1=0 | | 2x^2-9x-2=0 | | 2x^2=10x+3 | | y^2-4y+8=0 | | 42t^2-13tv-42v^2= | | 6s^2-13s+6= | | 2w^2+9w+9= | | 4x^7-20x^5+16x^8= | | x^2-16=0 | | x^2=81 | | 3x^2+6x=0 | | x^2-7x=0 | | y^2+6y+8=0 | | 5x^4+31x^2+6=0 | | x^2-10-4x-11=0 | | 5x^3+(2x-12)=1 | | m^2-6m+8=0 | | m^2+10m+9=0 | | m^2+5m+6=0 | | 5x^2+10x+5=180 | | 6(1+8x^3)=9 | | x^3+6x^2=4x+24 | | 5x^2-7x+2=0 | | 2x^2-11x+15=0 | | 4x^2=12x | | 8x^2=72x | | 2x^2-2=-5x-1 | | 0=3x^2-5x-9 |