If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 11a2 + 10a + -31 = -12 + 5a Reorder the terms: -31 + 10a + 11a2 = -12 + 5a Solving -31 + 10a + 11a2 = -12 + 5a Solving for variable 'a'. Reorder the terms: -31 + 12 + 10a + -5a + 11a2 = -12 + 5a + 12 + -5a Combine like terms: -31 + 12 = -19 -19 + 10a + -5a + 11a2 = -12 + 5a + 12 + -5a Combine like terms: 10a + -5a = 5a -19 + 5a + 11a2 = -12 + 5a + 12 + -5a Reorder the terms: -19 + 5a + 11a2 = -12 + 12 + 5a + -5a Combine like terms: -12 + 12 = 0 -19 + 5a + 11a2 = 0 + 5a + -5a -19 + 5a + 11a2 = 5a + -5a Combine like terms: 5a + -5a = 0 -19 + 5a + 11a2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. -1.727272727 + 0.4545454545a + a2 = 0 Move the constant term to the right: Add '1.727272727' to each side of the equation. -1.727272727 + 0.4545454545a + 1.727272727 + a2 = 0 + 1.727272727 Reorder the terms: -1.727272727 + 1.727272727 + 0.4545454545a + a2 = 0 + 1.727272727 Combine like terms: -1.727272727 + 1.727272727 = 0.000000000 0.000000000 + 0.4545454545a + a2 = 0 + 1.727272727 0.4545454545a + a2 = 0 + 1.727272727 Combine like terms: 0 + 1.727272727 = 1.727272727 0.4545454545a + a2 = 1.727272727 The a term is 0.4545454545a. Take half its coefficient (0.2272727273). Square it (0.05165289257) and add it to both sides. Add '0.05165289257' to each side of the equation. 0.4545454545a + 0.05165289257 + a2 = 1.727272727 + 0.05165289257 Reorder the terms: 0.05165289257 + 0.4545454545a + a2 = 1.727272727 + 0.05165289257 Combine like terms: 1.727272727 + 0.05165289257 = 1.77892561957 0.05165289257 + 0.4545454545a + a2 = 1.77892561957 Factor a perfect square on the left side: (a + 0.2272727273)(a + 0.2272727273) = 1.77892561957 Calculate the square root of the right side: 1.333763705 Break this problem into two subproblems by setting (a + 0.2272727273) equal to 1.333763705 and -1.333763705.Subproblem 1
a + 0.2272727273 = 1.333763705 Simplifying a + 0.2272727273 = 1.333763705 Reorder the terms: 0.2272727273 + a = 1.333763705 Solving 0.2272727273 + a = 1.333763705 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2272727273' to each side of the equation. 0.2272727273 + -0.2272727273 + a = 1.333763705 + -0.2272727273 Combine like terms: 0.2272727273 + -0.2272727273 = 0.0000000000 0.0000000000 + a = 1.333763705 + -0.2272727273 a = 1.333763705 + -0.2272727273 Combine like terms: 1.333763705 + -0.2272727273 = 1.1064909777 a = 1.1064909777 Simplifying a = 1.1064909777Subproblem 2
a + 0.2272727273 = -1.333763705 Simplifying a + 0.2272727273 = -1.333763705 Reorder the terms: 0.2272727273 + a = -1.333763705 Solving 0.2272727273 + a = -1.333763705 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2272727273' to each side of the equation. 0.2272727273 + -0.2272727273 + a = -1.333763705 + -0.2272727273 Combine like terms: 0.2272727273 + -0.2272727273 = 0.0000000000 0.0000000000 + a = -1.333763705 + -0.2272727273 a = -1.333763705 + -0.2272727273 Combine like terms: -1.333763705 + -0.2272727273 = -1.5610364323 a = -1.5610364323 Simplifying a = -1.5610364323Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.1064909777, -1.5610364323}
| m+38=86-3m | | 50=(2X-43)+(X) | | 3x+7=-41 | | 4n^2=108+6n | | 8(x+y)=4 | | 15x+y=-12 | | 3(-0.2)-5y=-15 | | y=ln(7-6x) | | 6x+7y=-1 | | -6x^2-x+14=-8 | | 8xy=4 | | 9x^2-16x-256=0 | | 6w-60=4w-4 | | 4x^2-47=-11 | | 3x-5*2=-15 | | 35x+3y=86 | | -3m^2+4m+1=-3 | | 6w-60=-4+4w | | 3-5(1-5r)=-127 | | -69+11x=41 | | 12(x+3)=-4(x-1) | | 180-x=20+3(90-x) | | 4m-7m=6 | | 6-3w=-7 | | 3x^2-x-41=11 | | -20-2y=15 | | 6x^3+x^2-5x=0 | | Lnx^6=30 | | 7v+6v=13v | | 3x-2+5x+86=180 | | 6m^2-7m-149=-6 | | -3+18=m-2 |