If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.002x2 + x = 1 Reorder the terms: x + 0.002x2 = 1 Solving x + 0.002x2 = 1 Solving for variable 'x'. Reorder the terms: -1 + x + 0.002x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + x + 0.002x2 = 0 Begin completing the square. Divide all terms by 0.002 the coefficient of the squared term: Divide each side by '0.002'. -500 + 500x + x2 = 0 Move the constant term to the right: Add '500' to each side of the equation. -500 + 500x + 500 + x2 = 0 + 500 Reorder the terms: -500 + 500 + 500x + x2 = 0 + 500 Combine like terms: -500 + 500 = 0 0 + 500x + x2 = 0 + 500 500x + x2 = 0 + 500 Combine like terms: 0 + 500 = 500 500x + x2 = 500 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. 500x + 0.25 + x2 = 500 + 0.25 Reorder the terms: 0.25 + 500x + x2 = 500 + 0.25 Combine like terms: 500 + 0.25 = 500.25 0.25 + 500x + x2 = 500.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 500.25 Calculate the square root of the right side: 22.366269246 Break this problem into two subproblems by setting (x + 0.5) equal to 22.366269246 and -22.366269246.Subproblem 1
x + 0.5 = 22.366269246 Simplifying x + 0.5 = 22.366269246 Reorder the terms: 0.5 + x = 22.366269246 Solving 0.5 + x = 22.366269246 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 = 22.366269246 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 22.366269246 + -0.5 x = 22.366269246 + -0.5 Combine like terms: 22.366269246 + -0.5 = 21.866269246 x = 21.866269246 Simplifying x = 21.866269246Subproblem 2
x + 0.5 = -22.366269246 Simplifying x + 0.5 = -22.366269246 Reorder the terms: 0.5 + x = -22.366269246 Solving 0.5 + x = -22.366269246 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 = -22.366269246 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -22.366269246 + -0.5 x = -22.366269246 + -0.5 Combine like terms: -22.366269246 + -0.5 = -22.866269246 x = -22.866269246 Simplifying x = -22.866269246Solution
The solution to the problem is based on the solutions from the subproblems. x = {21.866269246, -22.866269246}
| 6x-9y=-54 | | 14.4+1.2r=p | | 55+5k=p | | 4x^2-4x-168=0 | | 72=6(3X) | | 11.5=k*48 | | 22x-4= | | 72=(x+2)3x | | 8s+12t=16 | | 4.6r-4.6=p | | 4.6e-4.6=p | | X+(x+2)=54 | | P+1.5p=16 | | 13x=-5-6x^2 | | 14=1.5x+1 | | 13=1.5x | | 1.25p=62.5 | | -9x-2=-3x+2 | | X+(X-30)=146 | | 6y-18=4(2y-10) | | 0.6x+5y=11 | | 9c+16-c-11+4c= | | x-(-3)=26 | | 4-5h=-7h | | 5(3j-d)=2d+1 | | (x+3)(2x+4)=4x^2 | | -10b+21+19b-8-b= | | 3(2x-4)=(x-2) | | -4x+28x=0 | | (2x+6)3x-24= | | 2x^2+21x+141=0 | | (2x-6)(2x-2)= |