If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 13x + 41 = 0 Reorder the terms: 41 + 13x + x2 = 0 Solving 41 + 13x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + 13x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + 13x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 13x + x2 = 0 + -41 13x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 13x + x2 = -41 The x term is 13x. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13x + 42.25 + x2 = -41 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -41 + 42.25 Combine like terms: -41 + 42.25 = 1.25 42.25 + 13x + x2 = 1.25 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + 6.5) equal to 1.118033989 and -1.118033989.Subproblem 1
x + 6.5 = 1.118033989 Simplifying x + 6.5 = 1.118033989 Reorder the terms: 6.5 + x = 1.118033989 Solving 6.5 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + x = 1.118033989 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = 1.118033989 + -6.5 x = 1.118033989 + -6.5 Combine like terms: 1.118033989 + -6.5 = -5.381966011 x = -5.381966011 Simplifying x = -5.381966011Subproblem 2
x + 6.5 = -1.118033989 Simplifying x + 6.5 = -1.118033989 Reorder the terms: 6.5 + x = -1.118033989 Solving 6.5 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + x = -1.118033989 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = -1.118033989 + -6.5 x = -1.118033989 + -6.5 Combine like terms: -1.118033989 + -6.5 = -7.618033989 x = -7.618033989 Simplifying x = -7.618033989Solution
The solution to the problem is based on the solutions from the subproblems. x = {-5.381966011, -7.618033989}
| 3x-39=3 | | 3q^2=5q+2 | | 5r+10=45 | | 9x-14=49 | | (8a^3)(b^3)+(27a^6)= | | 2x(x+4)(6)=16 | | 2w-5w=12 | | -5(3p+4)-10=4(4p+8) | | 8=y-10 | | -86+5y+6=5(3y-3)-5 | | 7(6x-8)=70 | | 5x^3+20x^2+20= | | 5(c-3)=6(c-6) | | 21x^2-5x-4=0 | | 4(3x+5)=44 | | 18=6x-12 | | y^4-y=0 | | 6x^4-24x^2=0 | | 3x^2+3x-7=0 | | m^2=-4 | | 18(5c-1)-16=88c+18 | | 104-92=32y-35y | | -15s-34+5(3s+8)=0 | | x-56=53 | | 12m-3m^2=9 | | 5m-11m=18 | | 8-8=19t-18t | | 3r-13r=20 | | 2(x+3)-4x=3x-2(2x-1) | | 10x+8=8x+9 | | -2+12=4b-8-3b | | 7x^2+5x-2=0 |