If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x + -12x2 + 6 = 0 Reorder the terms: 6 + 4x + -12x2 = 0 Solving 6 + 4x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 2x + -6x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 2x + -6x2)' equal to zero and attempt to solve: Simplifying 3 + 2x + -6x2 = 0 Solving 3 + 2x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. -0.5 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + -0.3333333333x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + -0.3333333333x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.3333333333x + x2 = 0 + 0.5 -0.3333333333x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -0.3333333333x + x2 = 0.5 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = 0.5 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = 0.5 + 0.02777777779 Combine like terms: 0.5 + 0.02777777779 = 0.52777777779 0.02777777779 + -0.3333333333x + x2 = 0.52777777779 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = 0.52777777779 Calculate the square root of the right side: 0.726483157 Break this problem into two subproblems by setting (x + -0.1666666667) equal to 0.726483157 and -0.726483157.Subproblem 1
x + -0.1666666667 = 0.726483157 Simplifying x + -0.1666666667 = 0.726483157 Reorder the terms: -0.1666666667 + x = 0.726483157 Solving -0.1666666667 + x = 0.726483157 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = 0.726483157 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = 0.726483157 + 0.1666666667 x = 0.726483157 + 0.1666666667 Combine like terms: 0.726483157 + 0.1666666667 = 0.8931498237 x = 0.8931498237 Simplifying x = 0.8931498237Subproblem 2
x + -0.1666666667 = -0.726483157 Simplifying x + -0.1666666667 = -0.726483157 Reorder the terms: -0.1666666667 + x = -0.726483157 Solving -0.1666666667 + x = -0.726483157 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = -0.726483157 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = -0.726483157 + 0.1666666667 x = -0.726483157 + 0.1666666667 Combine like terms: -0.726483157 + 0.1666666667 = -0.5598164903 x = -0.5598164903 Simplifying x = -0.5598164903Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.8931498237, -0.5598164903}Solution
x = {0.8931498237, -0.5598164903}
| 2k+1=227/7-6/7k | | d-1/6=29/6+1/2d | | 3+5m=7m-7 | | 7-2/5a=7a+331/5 | | -5/7m+4/9=481/1386-5/6m | | 5b+2/3=11/3-b | | -6a+4=8/5+6a | | 3a-3/8=a-17/24 | | 10+3w=5/7w+318/35 | | 5w-8/9=-839/630+4/7w | | 3n-2/7=9/7+4/5n | | 3m+5/9=5m-71/99 | | 4n+9=-1/4n+121/4 | | 3/4-1/2d=3/7d+59/70 | | -8-n=-1/2n-33/4 | | -2/3-5n=n-28/15 | | -2/7b+4/7=7b-353/7 | | -7w+6=-9/5+4/5w | | -m+1=-5m+3 | | -1/3w+1=109/75+4/5w | | -7k+3/8=-2k+307/72 | | -5/7+1/2b=2b+121/7 | | a-1=7+3a | | 1/2m+1=6/7+m | | 3m-3/7=-3/5m-33/35 | | 2/7n+5/8=317/56+7n | | 6a+1/2=-1/6a+109/33 | | w+1/3=-w+25/21 | | 2/3t+3/4=-153/4+5t | | 1/3+1/3x=2x-1/27 | | k+1=5k+13/3 | | 4t-2=2t-8/7 |