If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 0.0001x2 + 4x + -3 Reorder the terms: 0 = -3 + 4x + 0.0001x2 Solving 0 = -3 + 4x + 0.0001x2 Solving for variable 'x'. Combine like terms: 0 + 3 = 3 3 + -4x + -0.0001x2 = -3 + 4x + 0.0001x2 + 3 + -4x + -0.0001x2 Reorder the terms: 3 + -4x + -0.0001x2 = -3 + 3 + 4x + -4x + 0.0001x2 + -0.0001x2 Combine like terms: -3 + 3 = 0 3 + -4x + -0.0001x2 = 0 + 4x + -4x + 0.0001x2 + -0.0001x2 3 + -4x + -0.0001x2 = 4x + -4x + 0.0001x2 + -0.0001x2 Combine like terms: 4x + -4x = 0 3 + -4x + -0.0001x2 = 0 + 0.0001x2 + -0.0001x2 3 + -4x + -0.0001x2 = 0.0001x2 + -0.0001x2 Combine like terms: 0.0001x2 + -0.0001x2 = 0.0000 3 + -4x + -0.0001x2 = 0.0000 Begin completing the square. Divide all terms by -0.0001 the coefficient of the squared term: Divide each side by '-0.0001'. -30000 + 40000x + x2 = 0 Move the constant term to the right: Add '30000' to each side of the equation. -30000 + 40000x + 30000 + x2 = 0 + 30000 Reorder the terms: -30000 + 30000 + 40000x + x2 = 0 + 30000 Combine like terms: -30000 + 30000 = 0 0 + 40000x + x2 = 0 + 30000 40000x + x2 = 0 + 30000 Combine like terms: 0 + 30000 = 30000 40000x + x2 = 30000 The x term is 40000x. Take half its coefficient (20000). Square it (400000000) and add it to both sides. Add '400000000' to each side of the equation. 40000x + 400000000 + x2 = 30000 + 400000000 Reorder the terms: 400000000 + 40000x + x2 = 30000 + 400000000 Combine like terms: 30000 + 400000000 = 400030000 400000000 + 40000x + x2 = 400030000 Factor a perfect square on the left side: (x + 20000)(x + 20000) = 400030000 Calculate the square root of the right side: 20000.749985938 Break this problem into two subproblems by setting (x + 20000) equal to 20000.749985938 and -20000.749985938.Subproblem 1
x + 20000 = 20000.749985938 Simplifying x + 20000 = 20000.749985938 Reorder the terms: 20000 + x = 20000.749985938 Solving 20000 + x = 20000.749985938 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20000' to each side of the equation. 20000 + -20000 + x = 20000.749985938 + -20000 Combine like terms: 20000 + -20000 = 0 0 + x = 20000.749985938 + -20000 x = 20000.749985938 + -20000 Combine like terms: 20000.749985938 + -20000 = 0.749985938 x = 0.749985938 Simplifying x = 0.749985938Subproblem 2
x + 20000 = -20000.749985938 Simplifying x + 20000 = -20000.749985938 Reorder the terms: 20000 + x = -20000.749985938 Solving 20000 + x = -20000.749985938 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20000' to each side of the equation. 20000 + -20000 + x = -20000.749985938 + -20000 Combine like terms: 20000 + -20000 = 0 0 + x = -20000.749985938 + -20000 x = -20000.749985938 + -20000 Combine like terms: -20000.749985938 + -20000 = -40000.749985938 x = -40000.749985938 Simplifying x = -40000.749985938Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.749985938, -40000.749985938}
| 88-4x=14x+20 | | 4(w+14)=3(4w+6) | | 2(3x+5)-7+4x=5(x+2)+4 | | 28=-9a+10 | | -6g+3g+12= | | 2r+r-14=0 | | -1+y/8= | | 6x+3=3+8x-8 | | 11x+4= | | 6-7a= | | 8x-5(x-3)+7= | | 5x+5=-125-8x | | 193-6x=6x+13 | | 4x+11=7x+1 | | -2+1/2= | | 5+3x-4x^2=0 | | 8t^2+15t+15=0 | | x/3-1=6.5 | | 5x-117x-3= | | 0=2x^2-5x | | 4s+100=40s | | x-11=x+1.5 | | 2x+3=9-x | | x^5-5x^2+3x+2=0 | | 2=8y-6 | | 2+3x=5x | | 7(2x+4)=4 | | x+4x-2=43 | | 1-(4-x)=3x+1 | | 3n^2+24n+45=0 | | 89-116=-4(-4y)-9(2y)+y | | z-6z=7z-7-z |