If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a2 + a + 0.25 = 0 Reorder the terms: 0.25 + a + 2a2 = 0 Solving 0.25 + a + 2a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.125 + 0.5a + a2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + 0.5a + -0.125 + a2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + 0.5a + a2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 0.5a + a2 = 0 + -0.125 0.5a + a2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 0.5a + a2 = -0.125 The a term is a. 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. 0.5a + 0.25 + a2 = -0.125 + 0.25 Reorder the terms: 0.25 + 0.5a + a2 = -0.125 + 0.25 Combine like terms: -0.125 + 0.25 = 0.125 0.25 + 0.5a + a2 = 0.125 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = 0.125 Calculate the square root of the right side: 0.353553391 Break this problem into two subproblems by setting (a + 0.5) equal to 0.353553391 and -0.353553391.Subproblem 1
a + 0.5 = 0.353553391 Simplifying a + 0.5 = 0.353553391 Reorder the terms: 0.5 + a = 0.353553391 Solving 0.5 + a = 0.353553391 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = 0.353553391 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = 0.353553391 + -0.5 a = 0.353553391 + -0.5 Combine like terms: 0.353553391 + -0.5 = -0.146446609 a = -0.146446609 Simplifying a = -0.146446609Subproblem 2
a + 0.5 = -0.353553391 Simplifying a + 0.5 = -0.353553391 Reorder the terms: 0.5 + a = -0.353553391 Solving 0.5 + a = -0.353553391 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = -0.353553391 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = -0.353553391 + -0.5 a = -0.353553391 + -0.5 Combine like terms: -0.353553391 + -0.5 = -0.853553391 a = -0.853553391 Simplifying a = -0.853553391Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.146446609, -0.853553391}
| 6w-9w=-12 | | -3x^2+24x-2=0 | | 47y=23(2y+10) | | 2t^2-8=120 | | 5x+16-4x=-6-13 | | (w-8)(w+6)=-33 | | 123+x=180 | | 5m-8+3-9m-4+m=-2-m | | 5x-23=2x+9 | | 8n^2-2n+5= | | 100=29x+116 | | (x^2-10)+(12n-4)=90 | | (x^2-10)+(12n-4)=180 | | -3xy2-z/-3xz | | (x^2-10)=(12n-4) | | (5-w)(3w-4)=0 | | 10=36-5b | | 32n^3-80n^2-2n+5= | | -3-4x+5x=12+6 | | 4x+72= | | .6m-4=14 | | x+(x*0.0825)=1750 | | 2t+10=3z-15 | | 1.4x-8=x | | 4x^4+9x^2-2=0 | | h(x)=2xsquared-6x-36 | | 43-4x=53-2x | | (7x+34)=(9x+22) | | 4g+82.8=73 | | 3x(x-2)=-9 | | 8(3n-2)=(2n+3)+4 | | Ln(x)+ln(4)=5 |