If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2r2 + r + -14 = 0 Reorder the terms: -14 + r + 2r2 = 0 Solving -14 + r + 2r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7 + 0.5r + r2 = 0 Move the constant term to the right: Add '7' to each side of the equation. -7 + 0.5r + 7 + r2 = 0 + 7 Reorder the terms: -7 + 7 + 0.5r + r2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 0.5r + r2 = 0 + 7 0.5r + r2 = 0 + 7 Combine like terms: 0 + 7 = 7 0.5r + r2 = 7 The r term is r. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5r + 0.25 + r2 = 7 + 0.25 Reorder the terms: 0.25 + 0.5r + r2 = 7 + 0.25 Combine like terms: 7 + 0.25 = 7.25 0.25 + 0.5r + r2 = 7.25 Factor a perfect square on the left side: (r + 0.5)(r + 0.5) = 7.25 Calculate the square root of the right side: 2.692582404 Break this problem into two subproblems by setting (r + 0.5) equal to 2.692582404 and -2.692582404.Subproblem 1
r + 0.5 = 2.692582404 Simplifying r + 0.5 = 2.692582404 Reorder the terms: 0.5 + r = 2.692582404 Solving 0.5 + r = 2.692582404 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + r = 2.692582404 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + r = 2.692582404 + -0.5 r = 2.692582404 + -0.5 Combine like terms: 2.692582404 + -0.5 = 2.192582404 r = 2.192582404 Simplifying r = 2.192582404Subproblem 2
r + 0.5 = -2.692582404 Simplifying r + 0.5 = -2.692582404 Reorder the terms: 0.5 + r = -2.692582404 Solving 0.5 + r = -2.692582404 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + r = -2.692582404 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + r = -2.692582404 + -0.5 r = -2.692582404 + -0.5 Combine like terms: -2.692582404 + -0.5 = -3.192582404 r = -3.192582404 Simplifying r = -3.192582404Solution
The solution to the problem is based on the solutions from the subproblems. r = {2.192582404, -3.192582404}
| -2=9x-5 | | 9(3-5y)+45y=27 | | 4+2z-1=9z+21-5z | | 35-7q=-8 | | -5x+7=37 | | 27=6y^3 | | 38=8-14p | | 3(2-x)+4=5-(3x-10)-x | | -38=-8a-30 | | 5p+9p=28 | | -6x+5=-19 | | 10x+31+-4x=7 | | 11-4c=18 | | 3(x+6)=7x+6-4x+12 | | -10.4x=20.8 | | 9x-2=9(x+6) | | 2+5x=3x+18 | | 1y+3(8-2y)=12 | | 7x+10=-25 | | 0.94y+2=y-0.4 | | 12t=75 | | 3.2x=2.4x+6.4 | | 3(x+1)+2=2(x-1) | | 2+5q=3x+18 | | X^2+x-25=2x-5 | | -4(2b+3)+(9b-3)=0 | | -6(9x+6)+6= | | 2x-8x+56=4x+36 | | 3(x+1)+7(2-x)-10(x-0.5)= | | 4.2q-4.5-4.1q=-0.9q-2.8 | | -5x-3=-58 | | 8-6p=-7p+5 |