If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10x2 + 10x + 1 = 0 Reorder the terms: 1 + 10x + 10x2 = 0 Solving 1 + 10x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.1 + x + x2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + x + -0.1 + x2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + x + x2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + x + x2 = 0 + -0.1 x + x2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 x + x2 = -0.1 The x term is x. 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. + 0.25 + x2 = -0.1 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -0.1 + 0.25 Combine like terms: -0.1 + 0.25 = 0.15 1.25 + x2 = 0.15 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 0.15 Calculate the square root of the right side: 0.387298335 Break this problem into two subproblems by setting (x + 0.5) equal to 0.387298335 and -0.387298335.Subproblem 1
x + 0.5 = 0.387298335 Simplifying x + 0.5 = 0.387298335 Reorder the terms: 0.5 + x = 0.387298335 Solving 0.5 + x = 0.387298335 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.387298335 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.387298335 + -0.5 x = 0.387298335 + -0.5 Combine like terms: 0.387298335 + -0.5 = -0.112701665 x = -0.112701665 Simplifying x = -0.112701665Subproblem 2
x + 0.5 = -0.387298335 Simplifying x + 0.5 = -0.387298335 Reorder the terms: 0.5 + x = -0.387298335 Solving 0.5 + x = -0.387298335 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -0.387298335 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.387298335 + -0.5 x = -0.387298335 + -0.5 Combine like terms: -0.387298335 + -0.5 = -0.887298335 x = -0.887298335 Simplifying x = -0.887298335Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.112701665, -0.887298335}
| 3x^2+300x-2300=0 | | 3x^2+300x-3000=0 | | 0=3x^2+10x-5 | | 2e^5*x=7 | | 4x^2-63x-16=0 | | -4x^2+63x+16=0 | | (q+14)=2q+1 | | 5X+174=11X-6 | | x+y=x-y+20 | | 21x+3=-60 | | 130=2x-2 | | 3X+9=-27X-9X | | 9v^2+12v+4= | | 4(b-3)+5=17 | | -37+4X=8-9X | | 5.6=1.8x | | x(6x-1)-4/2x-1 | | 3(x-2)(x+1)-4=2(x-1)(x+1) | | 3(x-2)(x+1)-4=2(x^2+1) | | 3(x-2)(x+1)-4=2(x^2-1) | | l(11-l)=24 | | (u^3z-^1)(3xu^-3/z^-3)^3 | | (80-2x)(40-2x)=1904 | | 5a-9=5(a+1)+17a+4 | | 4x^2-220x+2800=1456 | | n^2+3n-80=0 | | n^2+3n-180=0 | | 7(w-3)-6=-3(-8w+6)-5w | | 16t^2=1425 | | 1/4p^-5 | | 1/2w-7/5=-2/5w-4 | | -1/3X+2/5X=-8-3/4 |