If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 109x2 + 2x + -1 = 0 Reorder the terms: -1 + 2x + 109x2 = 0 Solving -1 + 2x + 109x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 109 the coefficient of the squared term: Divide each side by '109'. -0.009174311927 + 0.01834862385x + x2 = 0 Move the constant term to the right: Add '0.009174311927' to each side of the equation. -0.009174311927 + 0.01834862385x + 0.009174311927 + x2 = 0 + 0.009174311927 Reorder the terms: -0.009174311927 + 0.009174311927 + 0.01834862385x + x2 = 0 + 0.009174311927 Combine like terms: -0.009174311927 + 0.009174311927 = 0.000000000000 0.000000000000 + 0.01834862385x + x2 = 0 + 0.009174311927 0.01834862385x + x2 = 0 + 0.009174311927 Combine like terms: 0 + 0.009174311927 = 0.009174311927 0.01834862385x + x2 = 0.009174311927 The x term is 0.01834862385x. Take half its coefficient (0.009174311925). Square it (0.00008416799930) and add it to both sides. Add '0.00008416799930' to each side of the equation. 0.01834862385x + 0.00008416799930 + x2 = 0.009174311927 + 0.00008416799930 Reorder the terms: 0.00008416799930 + 0.01834862385x + x2 = 0.009174311927 + 0.00008416799930 Combine like terms: 0.009174311927 + 0.00008416799930 = 0.0092584799263 0.00008416799930 + 0.01834862385x + x2 = 0.0092584799263 Factor a perfect square on the left side: (x + 0.009174311925)(x + 0.009174311925) = 0.0092584799263 Calculate the square root of the right side: 0.096220995 Break this problem into two subproblems by setting (x + 0.009174311925) equal to 0.096220995 and -0.096220995.Subproblem 1
x + 0.009174311925 = 0.096220995 Simplifying x + 0.009174311925 = 0.096220995 Reorder the terms: 0.009174311925 + x = 0.096220995 Solving 0.009174311925 + x = 0.096220995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.009174311925' to each side of the equation. 0.009174311925 + -0.009174311925 + x = 0.096220995 + -0.009174311925 Combine like terms: 0.009174311925 + -0.009174311925 = 0.000000000000 0.000000000000 + x = 0.096220995 + -0.009174311925 x = 0.096220995 + -0.009174311925 Combine like terms: 0.096220995 + -0.009174311925 = 0.087046683075 x = 0.087046683075 Simplifying x = 0.087046683075Subproblem 2
x + 0.009174311925 = -0.096220995 Simplifying x + 0.009174311925 = -0.096220995 Reorder the terms: 0.009174311925 + x = -0.096220995 Solving 0.009174311925 + x = -0.096220995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.009174311925' to each side of the equation. 0.009174311925 + -0.009174311925 + x = -0.096220995 + -0.009174311925 Combine like terms: 0.009174311925 + -0.009174311925 = 0.000000000000 0.000000000000 + x = -0.096220995 + -0.009174311925 x = -0.096220995 + -0.009174311925 Combine like terms: -0.096220995 + -0.009174311925 = -0.105395306925 x = -0.105395306925 Simplifying x = -0.105395306925Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.087046683075, -0.105395306925}
| 30=8+2x | | 2s=7s-18 | | 9d-3d+6d-5=4d | | 3a-5=-7 | | 15x^2=15x | | m/7-2=10 | | 2b+(b-1)=5(b-1) | | 2w-10=6w+6 | | 5-x=-2x+1 | | 19x+47-2x=3x-1 | | 3v+9=18 | | 11x^2-22=0 | | -3(4-x)=21 | | 3x^2+35=7x^2-4x | | 6-a=5+3a | | 16+2n-5+8n=65 | | (30-x)+(4x-6)+(2x+16)=180 | | 6r-2(r+8)=11 | | 2p-12=12-2 | | 9d-d+4d-7=3d | | 3t^2+2t-8=0 | | -1/3=x-3/5 | | d=-7(x)-2(12) | | 8+5n=2(n+1) | | 41-20-13x=8x | | 9n^2=1 | | 6s+8=4s+16 | | (x+12)(x+12)=360 | | 30-x+4x+6+2x+16=180 | | 3+0.11x=19.83 | | 100+15r=455 | | 2x^2-29x=-3x^2-8x-18 |