If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying p2 + -13p + -97 = -8 Reorder the terms: -97 + -13p + p2 = -8 Solving -97 + -13p + p2 = -8 Solving for variable 'p'. Reorder the terms: -97 + 8 + -13p + p2 = -8 + 8 Combine like terms: -97 + 8 = -89 -89 + -13p + p2 = -8 + 8 Combine like terms: -8 + 8 = 0 -89 + -13p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '89' to each side of the equation. -89 + -13p + 89 + p2 = 0 + 89 Reorder the terms: -89 + 89 + -13p + p2 = 0 + 89 Combine like terms: -89 + 89 = 0 0 + -13p + p2 = 0 + 89 -13p + p2 = 0 + 89 Combine like terms: 0 + 89 = 89 -13p + p2 = 89 The p term is -13p. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13p + 42.25 + p2 = 89 + 42.25 Reorder the terms: 42.25 + -13p + p2 = 89 + 42.25 Combine like terms: 89 + 42.25 = 131.25 42.25 + -13p + p2 = 131.25 Factor a perfect square on the left side: (p + -6.5)(p + -6.5) = 131.25 Calculate the square root of the right side: 11.456439237 Break this problem into two subproblems by setting (p + -6.5) equal to 11.456439237 and -11.456439237.Subproblem 1
p + -6.5 = 11.456439237 Simplifying p + -6.5 = 11.456439237 Reorder the terms: -6.5 + p = 11.456439237 Solving -6.5 + p = 11.456439237 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + p = 11.456439237 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + p = 11.456439237 + 6.5 p = 11.456439237 + 6.5 Combine like terms: 11.456439237 + 6.5 = 17.956439237 p = 17.956439237 Simplifying p = 17.956439237Subproblem 2
p + -6.5 = -11.456439237 Simplifying p + -6.5 = -11.456439237 Reorder the terms: -6.5 + p = -11.456439237 Solving -6.5 + p = -11.456439237 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + p = -11.456439237 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + p = -11.456439237 + 6.5 p = -11.456439237 + 6.5 Combine like terms: -11.456439237 + 6.5 = -4.956439237 p = -4.956439237 Simplifying p = -4.956439237Solution
The solution to the problem is based on the solutions from the subproblems. p = {17.956439237, -4.956439237}
| 8x+132=16x+12 | | -15a=-14 | | 0.5(5x+3)=0.25(8x-6) | | 6k^2+3k-5=0 | | (3y^2+2xy)dx-(2xy+x^3)dy=0 | | n-12=13n | | 0.5(5x+3)=0.25(8x+6) | | 5x+87=12x-11 | | 4x+5y=-45 | | k^2-11k+6=-4 | | 10y^2-26y+16=0 | | 1.5x=37 | | 4p+(p-4)(2)=8p-7 | | 6+x=5x-34 | | -17x+4+4x^2=0 | | 4(x-3)=40 | | 69=x+5x+3 | | 6g+6=-6 | | 9+5x=3x+19 | | 4x+5y=42 | | 3X^2-42X=-144 | | .2c-.6+.5c=5 | | x^2-7x-9=-5 | | 3.25n+2.95=41.95 | | -3/17= | | -3=8x^2 | | r^2+3r-34=6 | | 11x+y=42 | | -5*(-9/5)= | | 2.88+0.27x=0.21(x+16) | | x+y-15=0 | | 4n+3=67 |