If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 6x + -1 = 0 Reorder the terms: -1 + 6x + 6x2 = 0 Solving -1 + 6x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.1666666667 + x + x2 = 0 Move the constant term to the right: Add '0.1666666667' to each side of the equation. -0.1666666667 + x + 0.1666666667 + x2 = 0 + 0.1666666667 Reorder the terms: -0.1666666667 + 0.1666666667 + x + x2 = 0 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x + x2 = 0 + 0.1666666667 x + x2 = 0 + 0.1666666667 Combine like terms: 0 + 0.1666666667 = 0.1666666667 x + x2 = 0.1666666667 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 = 0.1666666667 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 0.1666666667 + 0.25 Combine like terms: 0.1666666667 + 0.25 = 0.4166666667 1.25 + x2 = 0.4166666667 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 0.4166666667 Calculate the square root of the right side: 0.645497224 Break this problem into two subproblems by setting (x + 0.5) equal to 0.645497224 and -0.645497224.Subproblem 1
x + 0.5 = 0.645497224 Simplifying x + 0.5 = 0.645497224 Reorder the terms: 0.5 + x = 0.645497224 Solving 0.5 + x = 0.645497224 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 = 0.645497224 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.645497224 + -0.5 x = 0.645497224 + -0.5 Combine like terms: 0.645497224 + -0.5 = 0.145497224 x = 0.145497224 Simplifying x = 0.145497224Subproblem 2
x + 0.5 = -0.645497224 Simplifying x + 0.5 = -0.645497224 Reorder the terms: 0.5 + x = -0.645497224 Solving 0.5 + x = -0.645497224 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 = -0.645497224 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.645497224 + -0.5 x = -0.645497224 + -0.5 Combine like terms: -0.645497224 + -0.5 = -1.145497224 x = -1.145497224 Simplifying x = -1.145497224Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.145497224, -1.145497224}
| -5(y+6)=4 | | 3z=14-41 | | 6+3x=5x-4 | | 6x-7x+3=4 | | 3z=14-14 | | 1.50+10.50+2=n | | 12=2x+4-4x | | 6x^2+5xy-6y^2+x+8y-2=0 | | -12+3=m-10 | | 67.7=29.7-0.2w | | x-5=-2+9 | | m+13=37 | | a+15=-4a | | 5x-3=13-51 | | (6m^2+3m-4)+(-2m^2-4m+7)= | | d-6=-25 | | h-12=-5 | | 14=2(x+10) | | -2(x-y)= | | x+2+16=14 | | 7x-11=66 | | 7(1+c)=6(c-1) | | x+4+1=2 | | -3p+8p-p+10p= | | 5(b-3)=15 | | z^1*129[4]= | | 6(7n-5m)+3m= | | 9b^2+24b+13=-3 | | 16(9c-1)-16=142c+16 | | z^1=z | | 11(-5)=c | | -4x+6x=26 |