If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 45x + 24 = 0 Reorder the terms: 24 + 45x + 2x2 = 0 Solving 24 + 45x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12 + 22.5x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 22.5x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 22.5x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 22.5x + x2 = 0 + -12 22.5x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 22.5x + x2 = -12 The x term is 22.5x. Take half its coefficient (11.25). Square it (126.5625) and add it to both sides. Add '126.5625' to each side of the equation. 22.5x + 126.5625 + x2 = -12 + 126.5625 Reorder the terms: 126.5625 + 22.5x + x2 = -12 + 126.5625 Combine like terms: -12 + 126.5625 = 114.5625 126.5625 + 22.5x + x2 = 114.5625 Factor a perfect square on the left side: (x + 11.25)(x + 11.25) = 114.5625 Calculate the square root of the right side: 10.703387314 Break this problem into two subproblems by setting (x + 11.25) equal to 10.703387314 and -10.703387314.Subproblem 1
x + 11.25 = 10.703387314 Simplifying x + 11.25 = 10.703387314 Reorder the terms: 11.25 + x = 10.703387314 Solving 11.25 + x = 10.703387314 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.25' to each side of the equation. 11.25 + -11.25 + x = 10.703387314 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + x = 10.703387314 + -11.25 x = 10.703387314 + -11.25 Combine like terms: 10.703387314 + -11.25 = -0.546612686 x = -0.546612686 Simplifying x = -0.546612686Subproblem 2
x + 11.25 = -10.703387314 Simplifying x + 11.25 = -10.703387314 Reorder the terms: 11.25 + x = -10.703387314 Solving 11.25 + x = -10.703387314 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.25' to each side of the equation. 11.25 + -11.25 + x = -10.703387314 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + x = -10.703387314 + -11.25 x = -10.703387314 + -11.25 Combine like terms: -10.703387314 + -11.25 = -21.953387314 x = -21.953387314 Simplifying x = -21.953387314Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.546612686, -21.953387314}
| 56(x^2-1)=15x | | 3x=(2x-3)(m+4) | | (9x)2-49x-30= | | 3-(4-2)*(5)+2= | | 0.2x+3.6=1.2 | | 4(7x-2)-5(3x-17)=12x+12 | | x+3.6=1.2 | | 13+2m^2+14m=0 | | 8x^2+16x=x^3 | | x^6-8x^3-20=0 | | 12t^2+18t+2=0 | | 45x+5=50 | | 26-5x=8 | | 8s+5s= | | 3r^2-12r-15=0 | | 5y-3x=xy | | 6c^2-3c-3=0 | | y^2-10y+3=0 | | 3x-12=4x+8 | | p^2-8p+4=0 | | z+8-3=8 | | 2(x-7)=3(x+9) | | 6z-3=15 | | 7x+1=6x | | 3z-10=14 | | y-7+12=40 | | 2x-4=2(x-4) | | 6y-11=9 | | 6(6x+4)=36x+24 | | 5y+(-3)=27 | | 5y+-3=27 | | 0.50x+0.15(30)=47.5 |