If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -9x2 + -82x + 213 = 0 Reorder the terms: 213 + -82x + -9x2 = 0 Solving 213 + -82x + -9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. -23.66666667 + 9.111111111x + x2 = 0 Move the constant term to the right: Add '23.66666667' to each side of the equation. -23.66666667 + 9.111111111x + 23.66666667 + x2 = 0 + 23.66666667 Reorder the terms: -23.66666667 + 23.66666667 + 9.111111111x + x2 = 0 + 23.66666667 Combine like terms: -23.66666667 + 23.66666667 = 0.00000000 0.00000000 + 9.111111111x + x2 = 0 + 23.66666667 9.111111111x + x2 = 0 + 23.66666667 Combine like terms: 0 + 23.66666667 = 23.66666667 9.111111111x + x2 = 23.66666667 The x term is 9.111111111x. Take half its coefficient (4.555555556). Square it (20.75308642) and add it to both sides. Add '20.75308642' to each side of the equation. 9.111111111x + 20.75308642 + x2 = 23.66666667 + 20.75308642 Reorder the terms: 20.75308642 + 9.111111111x + x2 = 23.66666667 + 20.75308642 Combine like terms: 23.66666667 + 20.75308642 = 44.41975309 20.75308642 + 9.111111111x + x2 = 44.41975309 Factor a perfect square on the left side: (x + 4.555555556)(x + 4.555555556) = 44.41975309 Calculate the square root of the right side: 6.664814558 Break this problem into two subproblems by setting (x + 4.555555556) equal to 6.664814558 and -6.664814558.Subproblem 1
x + 4.555555556 = 6.664814558 Simplifying x + 4.555555556 = 6.664814558 Reorder the terms: 4.555555556 + x = 6.664814558 Solving 4.555555556 + x = 6.664814558 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.555555556' to each side of the equation. 4.555555556 + -4.555555556 + x = 6.664814558 + -4.555555556 Combine like terms: 4.555555556 + -4.555555556 = 0.000000000 0.000000000 + x = 6.664814558 + -4.555555556 x = 6.664814558 + -4.555555556 Combine like terms: 6.664814558 + -4.555555556 = 2.109259002 x = 2.109259002 Simplifying x = 2.109259002Subproblem 2
x + 4.555555556 = -6.664814558 Simplifying x + 4.555555556 = -6.664814558 Reorder the terms: 4.555555556 + x = -6.664814558 Solving 4.555555556 + x = -6.664814558 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.555555556' to each side of the equation. 4.555555556 + -4.555555556 + x = -6.664814558 + -4.555555556 Combine like terms: 4.555555556 + -4.555555556 = 0.000000000 0.000000000 + x = -6.664814558 + -4.555555556 x = -6.664814558 + -4.555555556 Combine like terms: -6.664814558 + -4.555555556 = -11.220370114 x = -11.220370114 Simplifying x = -11.220370114Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.109259002, -11.220370114}
| -9x^2-90x+225=0 | | 17(t-2)+4t=7(3t+5)-12 | | 4(x+1)+1=6x-2(-1+x) | | (2x-3)=-11-2(2-5x) | | n^3+11n+17=0 | | 3(2y-.3)=19.4-y | | 4(3+2x)-1=35 | | -(6y+1)-(-5y-6)=0 | | 8(2n-1)=(8n+5)+9 | | z+21=14 | | 3x^4+5x^2=13 | | 9m-16=14+3m | | 2w*l-5=272 | | 7(2n-4)=(2n+8)+1 | | 5x-4=3(x+1)+2x-7 | | 7=5+w | | 0.7x-5.2=0.4 | | 6-9(-y+4)=6(8y-1)+3 | | 5y+2(y-7)=3(y+2)-5 | | -3(t-5)+5t=6t-6 | | 3(2x-2)-5=6x-11 | | 6x+7=6(x-6) | | 8(n+8)=2(32+4n) | | 6x+24=8x-16 | | 9z-[7z-(18z+3)]=0 | | x+y=18 | | x^2-8x+64=0 | | 0.80x+0.20(140)=0.40(118) | | s^2-6s=16 | | 0.30x+0.15(130)=0.5(30) | | 6(3t-4)+10=5(r-2)-(3t+4) | | x^2+36x+29=0 |