If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (8a2 + 4a + -1) + (-6a2 + -5a + -4) = 0 Reorder the terms: (-1 + 4a + 8a2) + (-6a2 + -5a + -4) = 0 Remove parenthesis around (-1 + 4a + 8a2) -1 + 4a + 8a2 + (-6a2 + -5a + -4) = 0 Reorder the terms: -1 + 4a + 8a2 + (-4 + -5a + -6a2) = 0 Remove parenthesis around (-4 + -5a + -6a2) -1 + 4a + 8a2 + -4 + -5a + -6a2 = 0 Reorder the terms: -1 + -4 + 4a + -5a + 8a2 + -6a2 = 0 Combine like terms: -1 + -4 = -5 -5 + 4a + -5a + 8a2 + -6a2 = 0 Combine like terms: 4a + -5a = -1a -5 + -1a + 8a2 + -6a2 = 0 Combine like terms: 8a2 + -6a2 = 2a2 -5 + -1a + 2a2 = 0 Solving -5 + -1a + 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 + -0.5a + a2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + -0.5a + 2.5 + a2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + -0.5a + a2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.5a + a2 = 0 + 2.5 -0.5a + a2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 -0.5a + a2 = 2.5 The a term is -0.5a. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5a + 0.0625 + a2 = 2.5 + 0.0625 Reorder the terms: 0.0625 + -0.5a + a2 = 2.5 + 0.0625 Combine like terms: 2.5 + 0.0625 = 2.5625 0.0625 + -0.5a + a2 = 2.5625 Factor a perfect square on the left side: (a + -0.25)(a + -0.25) = 2.5625 Calculate the square root of the right side: 1.600781059 Break this problem into two subproblems by setting (a + -0.25) equal to 1.600781059 and -1.600781059.Subproblem 1
a + -0.25 = 1.600781059 Simplifying a + -0.25 = 1.600781059 Reorder the terms: -0.25 + a = 1.600781059 Solving -0.25 + a = 1.600781059 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + a = 1.600781059 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + a = 1.600781059 + 0.25 a = 1.600781059 + 0.25 Combine like terms: 1.600781059 + 0.25 = 1.850781059 a = 1.850781059 Simplifying a = 1.850781059Subproblem 2
a + -0.25 = -1.600781059 Simplifying a + -0.25 = -1.600781059 Reorder the terms: -0.25 + a = -1.600781059 Solving -0.25 + a = -1.600781059 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + a = -1.600781059 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + a = -1.600781059 + 0.25 a = -1.600781059 + 0.25 Combine like terms: -1.600781059 + 0.25 = -1.350781059 a = -1.350781059 Simplifying a = -1.350781059Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.850781059, -1.350781059}
| 63-147/49 | | 4x+4+3=8x+3 | | 2x-3(4-2x)=4+x | | n^2=-2-5n | | 50.9+64.1=13.2 | | 10w-4w=48 | | b/4=5=2 | | 5x(x-3)+8x=-5+x | | 6+3.4x=20-3.6x | | 4y=54 | | -50.9+64.1=13.2 | | 9n^2-6=39 | | 67a+67= | | (7v+8)+(v^2+8v+1)= | | -77.3+64.1=13.2 | | (-5z+-8)+(-z+8)= | | 9x+7-3x=2x-13 | | 6:30=x/25 | | 7[x-2]-3=2[x+2] | | Y=-6+150 | | -8x+5=53 | | (4x^2-1)(x+2)=4 | | B=2k+12 | | (4x^2-1)(x+1)=4 | | -9-3r^2=-69 | | (5j^3+4j^2+2j)+(-3j^3+-2j)= | | 5(4x^2-8x+7)=0 | | 2n+(7n)+8=n+8 | | 5 = y-1+ 2 | | -6sin^2x+11sinx+10=0 | | =5+(n-1)(2) | | 4b^2+21b=-5 |