If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 2x + -21 = 0 Reorder the terms: -21 + 2x + 6x2 = 0 Solving -21 + 2x + 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'. -3.5 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + 0.3333333333x + 3.5 + x2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + 0.3333333333x + x2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.3333333333x + x2 = 0 + 3.5 0.3333333333x + x2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 0.3333333333x + x2 = 3.5 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 = 3.5 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333x + x2 = 3.5 + 0.02777777779 Combine like terms: 3.5 + 0.02777777779 = 3.52777777779 0.02777777779 + 0.3333333333x + x2 = 3.52777777779 Factor a perfect square on the left side: (x + 0.1666666667)(x + 0.1666666667) = 3.52777777779 Calculate the square root of the right side: 1.878237945 Break this problem into two subproblems by setting (x + 0.1666666667) equal to 1.878237945 and -1.878237945.Subproblem 1
x + 0.1666666667 = 1.878237945 Simplifying x + 0.1666666667 = 1.878237945 Reorder the terms: 0.1666666667 + x = 1.878237945 Solving 0.1666666667 + x = 1.878237945 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 = 1.878237945 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + x = 1.878237945 + -0.1666666667 x = 1.878237945 + -0.1666666667 Combine like terms: 1.878237945 + -0.1666666667 = 1.7115712783 x = 1.7115712783 Simplifying x = 1.7115712783Subproblem 2
x + 0.1666666667 = -1.878237945 Simplifying x + 0.1666666667 = -1.878237945 Reorder the terms: 0.1666666667 + x = -1.878237945 Solving 0.1666666667 + x = -1.878237945 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 = -1.878237945 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + x = -1.878237945 + -0.1666666667 x = -1.878237945 + -0.1666666667 Combine like terms: -1.878237945 + -0.1666666667 = -2.0449046117 x = -2.0449046117 Simplifying x = -2.0449046117Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.7115712783, -2.0449046117}
| 7p+5=3p^2+9p | | r=(sqrt12m^3)/(22/7×3m) | | 2x-8=80-9x | | 4cos(2x)=8sin(x)cos(x) | | f+3f-2f=6+6+6 | | 10n^2=8n+7 | | (x+4)(x-5)(x+6)(x-7)=504 | | 9k-8k+7k=56 | | 12-16a=-5a^2 | | 7t-3t-3t=8-7 | | 5r^2-20=-r | | 8u+2u=44-4 | | 5x^2+23x-2=0 | | 19t+36=6t^2 | | 19+36=6t^2 | | 4x^2-n+12=0 | | 5m+m=39-9 | | 5*111+5-5=555 | | 1n^2-1n+12=0 | | 5x+5-5=555 | | n^2-1n+12=0 | | 5x+5+5=555 | | y=3x^2+4x+4 | | 4k+3k=84 | | 5*108+5+5=555 | | -2x^2+3x+7=0 | | 11x-(-3)=-19 | | 11n^2+n-11=0 | | 5x+5+5+5=555 | | -2-7x+x=-38 | | 84=7-7h | | p^2-32=4p |