If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 9x = 1 Reorder the terms: 9x + 2x2 = 1 Solving 9x + 2x2 = 1 Solving for variable 'x'. Reorder the terms: -1 + 9x + 2x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + 4.5x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 4.5x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 4.5x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 4.5x + x2 = 0 + 0.5 4.5x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 4.5x + x2 = 0.5 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = 0.5 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = 0.5 + 5.0625 Combine like terms: 0.5 + 5.0625 = 5.5625 5.0625 + 4.5x + x2 = 5.5625 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = 5.5625 Calculate the square root of the right side: 2.358495283 Break this problem into two subproblems by setting (x + 2.25) equal to 2.358495283 and -2.358495283.Subproblem 1
x + 2.25 = 2.358495283 Simplifying x + 2.25 = 2.358495283 Reorder the terms: 2.25 + x = 2.358495283 Solving 2.25 + x = 2.358495283 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = 2.358495283 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = 2.358495283 + -2.25 x = 2.358495283 + -2.25 Combine like terms: 2.358495283 + -2.25 = 0.108495283 x = 0.108495283 Simplifying x = 0.108495283Subproblem 2
x + 2.25 = -2.358495283 Simplifying x + 2.25 = -2.358495283 Reorder the terms: 2.25 + x = -2.358495283 Solving 2.25 + x = -2.358495283 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = -2.358495283 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = -2.358495283 + -2.25 x = -2.358495283 + -2.25 Combine like terms: -2.358495283 + -2.25 = -4.608495283 x = -4.608495283 Simplifying x = -4.608495283Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.108495283, -4.608495283}
| 1.857z+3=-15.5z+3 | | 10-7x=158-35x | | 10y-10z-45=12y+21z-51 | | 10y-10z-45=12y-21z-51 | | 10-9x=130-30x | | 2a-2=5 | | w-z=w+fx | | 7-9x=97-30x | | 154-4x=5x+24 | | h=5t^2-2 | | 13-4x=12-9x | | 10x+17=6x+3 | | 6x+9=97-56 | | -3y+9z+3=4y-4z-18 | | 3p+8=8 | | -2p+7=-3-(5p+1) | | 2m^2-m^4=0.5 | | 6b=1 | | 6b+4=5 | | 10a-3=7 | | 2p+7=-3-(5p+1) | | 23x-27=16x-13 | | x*2+x=0 | | 2y+8.1=17.7 | | 9x^2-x+24=0 | | X^2+(k-4)X+2k-11=0 | | -12X-15+11X=-14 | | (3t+5)(3t+5)= | | 12x-16=7x-1 | | (3t+5)2= | | -15X+17X+2X=14+2 | | -6x+1.5=5.7 |