If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2a + -2) * a + -5 = 0 Reorder the terms: (-2 + 2a) * a + -5 = 0 Reorder the terms for easier multiplication: a(-2 + 2a) + -5 = 0 (-2 * a + 2a * a) + -5 = 0 (-2a + 2a2) + -5 = 0 Reorder the terms: -5 + -2a + 2a2 = 0 Solving -5 + -2a + 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'. -2.5 + -1a + a2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + -1a + 2.5 + a2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + -1a + a2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -1a + a2 = 0 + 2.5 -1a + a2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 -1a + a2 = 2.5 The a term is -1a. 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. -1a + 0.25 + a2 = 2.5 + 0.25 Reorder the terms: 0.25 + -1a + a2 = 2.5 + 0.25 Combine like terms: 2.5 + 0.25 = 2.75 0.25 + -1a + a2 = 2.75 Factor a perfect square on the left side: (a + -0.5)(a + -0.5) = 2.75 Calculate the square root of the right side: 1.658312395 Break this problem into two subproblems by setting (a + -0.5) equal to 1.658312395 and -1.658312395.Subproblem 1
a + -0.5 = 1.658312395 Simplifying a + -0.5 = 1.658312395 Reorder the terms: -0.5 + a = 1.658312395 Solving -0.5 + a = 1.658312395 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 = 1.658312395 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + a = 1.658312395 + 0.5 a = 1.658312395 + 0.5 Combine like terms: 1.658312395 + 0.5 = 2.158312395 a = 2.158312395 Simplifying a = 2.158312395Subproblem 2
a + -0.5 = -1.658312395 Simplifying a + -0.5 = -1.658312395 Reorder the terms: -0.5 + a = -1.658312395 Solving -0.5 + a = -1.658312395 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 = -1.658312395 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + a = -1.658312395 + 0.5 a = -1.658312395 + 0.5 Combine like terms: -1.658312395 + 0.5 = -1.158312395 a = -1.158312395 Simplifying a = -1.158312395Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.158312395, -1.158312395}
| 2.27k-0.27k+0.6=11.0 | | 144s^2+169= | | -3+2z=1.2 | | 3.5b+7=8.1b-19.4 | | -50-2(120)= | | 8x*8x+4x=24 | | -2-7(-7p-7)=341 | | -50-2x= | | -2=13-22n | | -2x-1= | | 3x-21+5=26 | | 254+54x=900 | | 7x-5/7-3=12 | | 5-2(4x+3)+6x= | | 20=g+5-14 | | .8333333333x-.375=.5833333333 | | -10+8=7p+12 | | -10p+8=7+12 | | -4=a+8-2a | | 15-3(x+4)=11-5x | | -(r+8)=12-5r | | 0=8x-9 | | x^2+y^2+12x+47y+39=0 | | 8x+3=4x-7-x | | 21+p-32=47 | | 7z+11-3z+4=-85 | | 18-7n+1=-9 | | -1n-1=11 | | 7(r+2)+8=4r+16 | | n-10=44 | | 4(x-7)-2x+20=-12 | | 2x^2=3x^2-64 |