If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2p2 + 6p = 1 Reorder the terms: 6p + 2p2 = 1 Solving 6p + 2p2 = 1 Solving for variable 'p'. Reorder the terms: -1 + 6p + 2p2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 6p + 2p2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + 3p + p2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 3p + 0.5 + p2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 3p + p2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 3p + p2 = 0 + 0.5 3p + p2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 3p + p2 = 0.5 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 = 0.5 + 2.25 Reorder the terms: 2.25 + 3p + p2 = 0.5 + 2.25 Combine like terms: 0.5 + 2.25 = 2.75 2.25 + 3p + p2 = 2.75 Factor a perfect square on the left side: (p + 1.5)(p + 1.5) = 2.75 Calculate the square root of the right side: 1.658312395 Break this problem into two subproblems by setting (p + 1.5) equal to 1.658312395 and -1.658312395.Subproblem 1
p + 1.5 = 1.658312395 Simplifying p + 1.5 = 1.658312395 Reorder the terms: 1.5 + p = 1.658312395 Solving 1.5 + p = 1.658312395 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 = 1.658312395 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + p = 1.658312395 + -1.5 p = 1.658312395 + -1.5 Combine like terms: 1.658312395 + -1.5 = 0.158312395 p = 0.158312395 Simplifying p = 0.158312395Subproblem 2
p + 1.5 = -1.658312395 Simplifying p + 1.5 = -1.658312395 Reorder the terms: 1.5 + p = -1.658312395 Solving 1.5 + p = -1.658312395 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 = -1.658312395 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + p = -1.658312395 + -1.5 p = -1.658312395 + -1.5 Combine like terms: -1.658312395 + -1.5 = -3.158312395 p = -3.158312395 Simplifying p = -3.158312395Solution
The solution to the problem is based on the solutions from the subproblems. p = {0.158312395, -3.158312395}
| 19x^2+10x+54=0 | | 3q^2=4q+6 | | z^2=(2z-3)(z-2) | | (x-20)+x+40=180 | | 8-5x=x(x-7) | | 61-x=172 | | 5k^2+6=0 | | 2-(3x-1)=3-(8x+1) | | a+12=a^2 | | -90=45+x | | -30=45-x | | t^2+5=2t | | 97=-103+x | | f=5(-x)+4 | | 2q+7=0 | | 3n^2+10n=-1 | | x(x+2)+3=0 | | -74=-75+x | | f=5(x+9)+4 | | 13x+25=3x-10 | | 4b+3(b-5)=48 | | xIn=5 | | (2x+3y)*(px+qy)=rx^2+23xy+12y^2 | | 0.02(y-4)+0.04y=0.18y-0.5 | | 8+6y=15y+35 | | 3x+44=5x-3 | | ae+yd=y^2 | | 5x^2+12+4=0 | | 7+10-4t=11 | | (7-2x)*(2x-7)=-9 | | -3(x-1)=7x-5 | | -(x-3)=-20 |