If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.39a2 + 12a + -40 = 0 Reorder the terms: -40 + 12a + -0.39a2 = 0 Solving -40 + 12a + -0.39a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by -0.39 the coefficient of the squared term: Divide each side by '-0.39'. 102.5641026 + -30.76923077a + a2 = 0 Move the constant term to the right: Add '-102.5641026' to each side of the equation. 102.5641026 + -30.76923077a + -102.5641026 + a2 = 0 + -102.5641026 Reorder the terms: 102.5641026 + -102.5641026 + -30.76923077a + a2 = 0 + -102.5641026 Combine like terms: 102.5641026 + -102.5641026 = 0.0000000 0.0000000 + -30.76923077a + a2 = 0 + -102.5641026 -30.76923077a + a2 = 0 + -102.5641026 Combine like terms: 0 + -102.5641026 = -102.5641026 -30.76923077a + a2 = -102.5641026 The a term is -30.76923077a. Take half its coefficient (-15.38461539). Square it (236.6863907) and add it to both sides. Add '236.6863907' to each side of the equation. -30.76923077a + 236.6863907 + a2 = -102.5641026 + 236.6863907 Reorder the terms: 236.6863907 + -30.76923077a + a2 = -102.5641026 + 236.6863907 Combine like terms: -102.5641026 + 236.6863907 = 134.1222881 236.6863907 + -30.76923077a + a2 = 134.1222881 Factor a perfect square on the left side: (a + -15.38461539)(a + -15.38461539) = 134.1222881 Calculate the square root of the right side: 11.58111774 Break this problem into two subproblems by setting (a + -15.38461539) equal to 11.58111774 and -11.58111774.Subproblem 1
a + -15.38461539 = 11.58111774 Simplifying a + -15.38461539 = 11.58111774 Reorder the terms: -15.38461539 + a = 11.58111774 Solving -15.38461539 + a = 11.58111774 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15.38461539' to each side of the equation. -15.38461539 + 15.38461539 + a = 11.58111774 + 15.38461539 Combine like terms: -15.38461539 + 15.38461539 = 0.00000000 0.00000000 + a = 11.58111774 + 15.38461539 a = 11.58111774 + 15.38461539 Combine like terms: 11.58111774 + 15.38461539 = 26.96573313 a = 26.96573313 Simplifying a = 26.96573313Subproblem 2
a + -15.38461539 = -11.58111774 Simplifying a + -15.38461539 = -11.58111774 Reorder the terms: -15.38461539 + a = -11.58111774 Solving -15.38461539 + a = -11.58111774 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15.38461539' to each side of the equation. -15.38461539 + 15.38461539 + a = -11.58111774 + 15.38461539 Combine like terms: -15.38461539 + 15.38461539 = 0.00000000 0.00000000 + a = -11.58111774 + 15.38461539 a = -11.58111774 + 15.38461539 Combine like terms: -11.58111774 + 15.38461539 = 3.80349765 a = 3.80349765 Simplifying a = 3.80349765Solution
The solution to the problem is based on the solutions from the subproblems. a = {26.96573313, 3.80349765}
| n^2+10n-20=o | | -10(x-10)-15=-4x-(x-5) | | 3=-2+b | | 1/6(x+7) | | m=(-9+2)/(-7+1) | | m=(-5+6)/(-1+7) | | 2(x-7)=7x+11 | | 24-7p=2p-3(2p-6) | | x/x+y=0.25 | | 2(-7b-3)+5b=-18-7b | | 2m-n+(5m-6n)i=-8-13i | | -24-4n=-4(1+2n) | | -7x+12x^2=49 | | 80a+60b=10000 | | -31-6n=5(n-4) | | -4(4+6x)=22-5x | | 10x-9=x-72 | | 1-(x+1-9)=-2(x-3) | | (x^2+3x-4)/(x^2-1) | | 2+5(5+7m)=-37+3m | | -7-6v=-(-7v+7) | | -3(2x-4)+7x=12x-15 | | x+20=-6(1+2x) | | 3x+12=-24-7x | | -5p+7=-1-(2p+4) | | -5p+7=-1(2p+4) | | x^2-12=8(3x) | | x^2-12=8 | | 2x^2-20=142 | | 7/8*9 | | 26-n=5n-8(3+7n) | | x=500y^2-500y |