If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 25a2 + 2a = 5868 Reorder the terms: 2a + 25a2 = 5868 Solving 2a + 25a2 = 5868 Solving for variable 'a'. Reorder the terms: -5868 + 2a + 25a2 = 5868 + -5868 Combine like terms: 5868 + -5868 = 0 -5868 + 2a + 25a2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. -234.72 + 0.08a + a2 = 0 Move the constant term to the right: Add '234.72' to each side of the equation. -234.72 + 0.08a + 234.72 + a2 = 0 + 234.72 Reorder the terms: -234.72 + 234.72 + 0.08a + a2 = 0 + 234.72 Combine like terms: -234.72 + 234.72 = 0.00 0.00 + 0.08a + a2 = 0 + 234.72 0.08a + a2 = 0 + 234.72 Combine like terms: 0 + 234.72 = 234.72 0.08a + a2 = 234.72 The a term is 0.08a. Take half its coefficient (0.04). Square it (0.0016) and add it to both sides. Add '0.0016' to each side of the equation. 0.08a + 0.0016 + a2 = 234.72 + 0.0016 Reorder the terms: 0.0016 + 0.08a + a2 = 234.72 + 0.0016 Combine like terms: 234.72 + 0.0016 = 234.7216 0.0016 + 0.08a + a2 = 234.7216 Factor a perfect square on the left side: (a + 0.04)(a + 0.04) = 234.7216 Calculate the square root of the right side: 15.320626619 Break this problem into two subproblems by setting (a + 0.04) equal to 15.320626619 and -15.320626619.Subproblem 1
a + 0.04 = 15.320626619 Simplifying a + 0.04 = 15.320626619 Reorder the terms: 0.04 + a = 15.320626619 Solving 0.04 + a = 15.320626619 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + a = 15.320626619 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + a = 15.320626619 + -0.04 a = 15.320626619 + -0.04 Combine like terms: 15.320626619 + -0.04 = 15.280626619 a = 15.280626619 Simplifying a = 15.280626619Subproblem 2
a + 0.04 = -15.320626619 Simplifying a + 0.04 = -15.320626619 Reorder the terms: 0.04 + a = -15.320626619 Solving 0.04 + a = -15.320626619 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + a = -15.320626619 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + a = -15.320626619 + -0.04 a = -15.320626619 + -0.04 Combine like terms: -15.320626619 + -0.04 = -15.360626619 a = -15.360626619 Simplifying a = -15.360626619Solution
The solution to the problem is based on the solutions from the subproblems. a = {15.280626619, -15.360626619}
| 3x-10=-22+4x | | 2x+20=92 | | 13a+9b=13750 | | 9x=10+3x | | 13a+9b=13 | | x+3.1=1.6 | | x+.1=1.6 | | -x+3=-45+5x | | a^2+a=25 | | 7-2x=-4+23 | | y=100+75 | | 2a^2-16ab+14b^2=0 | | 40x+8(1.5)=525 | | (x-(2-5i))(x-(2+5i))=0 | | 4x-2-5x=-7 | | 81+256=625 | | 3-6x=3x-2x-46 | | 0.000579a^2-a+286.25=0 | | 6-5n=n+9 | | p+7=1.1 | | -7/8x-1/2=3/16x+5 | | 1x+2x+3x=82 | | 18+32=50 | | -(7x^3+2x^2-3)+(5x^2-30)= | | -6=2x-5x+3 | | 35x^2+21x= | | 5(6t-3)=6(3t-1) | | 2x+y(0.4+0.1)=5 | | 8b-7(1-19b)=17(b-15) | | 9x(x+2)=0 | | 5x-9-x=2 | | -4+3x+x=-40 |