If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 54x + 523 = 0 Reorder the terms: 523 + 54x + x2 = 0 Solving 523 + 54x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-523' to each side of the equation. 523 + 54x + -523 + x2 = 0 + -523 Reorder the terms: 523 + -523 + 54x + x2 = 0 + -523 Combine like terms: 523 + -523 = 0 0 + 54x + x2 = 0 + -523 54x + x2 = 0 + -523 Combine like terms: 0 + -523 = -523 54x + x2 = -523 The x term is 54x. Take half its coefficient (27). Square it (729) and add it to both sides. Add '729' to each side of the equation. 54x + 729 + x2 = -523 + 729 Reorder the terms: 729 + 54x + x2 = -523 + 729 Combine like terms: -523 + 729 = 206 729 + 54x + x2 = 206 Factor a perfect square on the left side: (x + 27)(x + 27) = 206 Calculate the square root of the right side: 14.352700094 Break this problem into two subproblems by setting (x + 27) equal to 14.352700094 and -14.352700094.Subproblem 1
x + 27 = 14.352700094 Simplifying x + 27 = 14.352700094 Reorder the terms: 27 + x = 14.352700094 Solving 27 + x = 14.352700094 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 14.352700094 + -27 Combine like terms: 27 + -27 = 0 0 + x = 14.352700094 + -27 x = 14.352700094 + -27 Combine like terms: 14.352700094 + -27 = -12.647299906 x = -12.647299906 Simplifying x = -12.647299906Subproblem 2
x + 27 = -14.352700094 Simplifying x + 27 = -14.352700094 Reorder the terms: 27 + x = -14.352700094 Solving 27 + x = -14.352700094 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = -14.352700094 + -27 Combine like terms: 27 + -27 = 0 0 + x = -14.352700094 + -27 x = -14.352700094 + -27 Combine like terms: -14.352700094 + -27 = -41.352700094 x = -41.352700094 Simplifying x = -41.352700094Solution
The solution to the problem is based on the solutions from the subproblems. x = {-12.647299906, -41.352700094}
| 13x^2=30 | | ax-5y=6 | | 3x+17=-11+1x | | 13n=4 | | -1(c-8)=6 | | (ax-3)2=0 | | 16x^5-8x^3+x=0 | | 4l-8=36 | | x=8*(-18-y) | | -5(2t+6)=-60 | | 7x-9=14x-5 | | X*X=0.03 | | 12b-5=31 | | 3(f-8)=-30 | | 4a-2b=22 | | 10(s-8)=-147 | | 7m^3+3mn+7m^2+3n=0 | | 2r-21=-42+9r | | 8x^2-36x-10x+12= | | 8x+14y=210 | | X(.10)=200 | | H(t)=-16t^2+50t+3 | | 5x+12=2x+5 | | 2X-5=6-1X | | Ln(X+1)-ln(x^2)=ln(C) | | 2(4s+7)=46 | | 90=3x+16+6x-34 | | 7n+11b=138 | | -5x+11=-8x+5 | | 2(2l+4)=40 | | y^2+20*y-200=0 | | 22-9=13 |