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 + 28 = 0 Reorder the terms: 28 + 13x + x2 = 0 Solving 28 + 13x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 13x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + 13x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 13x + x2 = 0 + -28 13x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 13x + x2 = -28 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 = -28 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -28 + 42.25 Combine like terms: -28 + 42.25 = 14.25 42.25 + 13x + x2 = 14.25 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = 14.25 Calculate the square root of the right side: 3.774917218 Break this problem into two subproblems by setting (x + 6.5) equal to 3.774917218 and -3.774917218.Subproblem 1
x + 6.5 = 3.774917218 Simplifying x + 6.5 = 3.774917218 Reorder the terms: 6.5 + x = 3.774917218 Solving 6.5 + x = 3.774917218 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 = 3.774917218 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = 3.774917218 + -6.5 x = 3.774917218 + -6.5 Combine like terms: 3.774917218 + -6.5 = -2.725082782 x = -2.725082782 Simplifying x = -2.725082782Subproblem 2
x + 6.5 = -3.774917218 Simplifying x + 6.5 = -3.774917218 Reorder the terms: 6.5 + x = -3.774917218 Solving 6.5 + x = -3.774917218 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 = -3.774917218 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = -3.774917218 + -6.5 x = -3.774917218 + -6.5 Combine like terms: -3.774917218 + -6.5 = -10.274917218 x = -10.274917218 Simplifying x = -10.274917218Solution
The solution to the problem is based on the solutions from the subproblems. x = {-2.725082782, -10.274917218}
| 5n+3=24 | | x/0.22=0.6/0.33 | | 3x-91=x+3 | | (xlny+xy)dx+(ylnx+xy)dy=0 | | 5/11-x=35 | | 64=6y | | 16-2.6a=42 | | 1/2z-8=24 | | 5.75x+4.10y=834.05 | | 2x/3+1/5=4/5 | | 2x+7=4(z-1)+2 | | 11/(t-6)=7/3 | | [4x+5]-3=8 | | (3x-4)=22 | | x+8/5x=130 | | 5x+5-5=0 | | x+95+50+47=180 | | 1/41/3 | | 4w^2=-9w-5 | | 3(5y)= | | 4x-6y=5 | | 7x+80+51=180 | | x(x-33)=0 | | 17X-7Y=22 | | 8x-38=5x+9 | | -16x^2+20x+30=0 | | -16x^2+20x+3=0 | | [3x-2]-6=1 | | 2x+-6=180 | | -9x+7y=18 | | 25y+10x=5.10 | | 10x+25y=5.10 |