If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2r2 + 8r + -12 + r + -5 + 15r2 + -2r + 11 = 0 Reorder the terms: -12 + -5 + 11 + 8r + r + -2r + 2r2 + 15r2 = 0 Combine like terms: -12 + -5 = -17 -17 + 11 + 8r + r + -2r + 2r2 + 15r2 = 0 Combine like terms: -17 + 11 = -6 -6 + 8r + r + -2r + 2r2 + 15r2 = 0 Combine like terms: 8r + r = 9r -6 + 9r + -2r + 2r2 + 15r2 = 0 Combine like terms: 9r + -2r = 7r -6 + 7r + 2r2 + 15r2 = 0 Combine like terms: 2r2 + 15r2 = 17r2 -6 + 7r + 17r2 = 0 Solving -6 + 7r + 17r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. -0.3529411765 + 0.4117647059r + r2 = 0 Move the constant term to the right: Add '0.3529411765' to each side of the equation. -0.3529411765 + 0.4117647059r + 0.3529411765 + r2 = 0 + 0.3529411765 Reorder the terms: -0.3529411765 + 0.3529411765 + 0.4117647059r + r2 = 0 + 0.3529411765 Combine like terms: -0.3529411765 + 0.3529411765 = 0.0000000000 0.0000000000 + 0.4117647059r + r2 = 0 + 0.3529411765 0.4117647059r + r2 = 0 + 0.3529411765 Combine like terms: 0 + 0.3529411765 = 0.3529411765 0.4117647059r + r2 = 0.3529411765 The r term is 0.4117647059r. Take half its coefficient (0.205882353). Square it (0.04238754328) and add it to both sides. Add '0.04238754328' to each side of the equation. 0.4117647059r + 0.04238754328 + r2 = 0.3529411765 + 0.04238754328 Reorder the terms: 0.04238754328 + 0.4117647059r + r2 = 0.3529411765 + 0.04238754328 Combine like terms: 0.3529411765 + 0.04238754328 = 0.39532871978 0.04238754328 + 0.4117647059r + r2 = 0.39532871978 Factor a perfect square on the left side: (r + 0.205882353)(r + 0.205882353) = 0.39532871978 Calculate the square root of the right side: 0.628751716 Break this problem into two subproblems by setting (r + 0.205882353) equal to 0.628751716 and -0.628751716.Subproblem 1
r + 0.205882353 = 0.628751716 Simplifying r + 0.205882353 = 0.628751716 Reorder the terms: 0.205882353 + r = 0.628751716 Solving 0.205882353 + r = 0.628751716 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.205882353' to each side of the equation. 0.205882353 + -0.205882353 + r = 0.628751716 + -0.205882353 Combine like terms: 0.205882353 + -0.205882353 = 0.000000000 0.000000000 + r = 0.628751716 + -0.205882353 r = 0.628751716 + -0.205882353 Combine like terms: 0.628751716 + -0.205882353 = 0.422869363 r = 0.422869363 Simplifying r = 0.422869363Subproblem 2
r + 0.205882353 = -0.628751716 Simplifying r + 0.205882353 = -0.628751716 Reorder the terms: 0.205882353 + r = -0.628751716 Solving 0.205882353 + r = -0.628751716 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.205882353' to each side of the equation. 0.205882353 + -0.205882353 + r = -0.628751716 + -0.205882353 Combine like terms: 0.205882353 + -0.205882353 = 0.000000000 0.000000000 + r = -0.628751716 + -0.205882353 r = -0.628751716 + -0.205882353 Combine like terms: -0.628751716 + -0.205882353 = -0.834634069 r = -0.834634069 Simplifying r = -0.834634069Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.422869363, -0.834634069}
| 6.2i(8+24i)=0 | | -5(1-x)=6x-7 | | x-82= | | 9x+4=3x+28 | | x+x=d | | (13-3x)-x=5 | | 13x+72=23x | | 3=-16t^2+30t+12 | | rad(13-3x)-x=5 | | 7m=14*.5 | | 3.45t=3.58*6.57 | | 2.5n=.5*3.5 | | y=ln(sin^2x) | | .32=0.8x | | 4d+9-1d-8= | | 2=3.666666666666667t | | (2x-3y)dx-3(x-2y^2)dy=0 | | cos(7X)+cos(x)+cos(4x)=0 | | 49b+15=3 | | 10x=16x+2 | | 10x^2-10x-8=0 | | 3x^3+4x^2+4x+3=0 | | 2tanx=secx | | 5k=7+5k | | (X+4)x=6(6) | | -3-7p+7p=-14+1-p+3 | | (sin*2x)+(cos*3x)=0 | | 4+5=9 | | 8x-5z=1 | | =x^9ln(e^9x+1) | | (x+4)x=36 | | 5(3r-6)=11r-14 |