If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 21x + 49 = 0 Reorder the terms: 49 + 21x + x2 = 0 Solving 49 + 21x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + 21x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + 21x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 21x + x2 = 0 + -49 21x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 21x + x2 = -49 The x term is 21x. Take half its coefficient (10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. 21x + 110.25 + x2 = -49 + 110.25 Reorder the terms: 110.25 + 21x + x2 = -49 + 110.25 Combine like terms: -49 + 110.25 = 61.25 110.25 + 21x + x2 = 61.25 Factor a perfect square on the left side: (x + 10.5)(x + 10.5) = 61.25 Calculate the square root of the right side: 7.826237921 Break this problem into two subproblems by setting (x + 10.5) equal to 7.826237921 and -7.826237921.Subproblem 1
x + 10.5 = 7.826237921 Simplifying x + 10.5 = 7.826237921 Reorder the terms: 10.5 + x = 7.826237921 Solving 10.5 + x = 7.826237921 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + x = 7.826237921 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + x = 7.826237921 + -10.5 x = 7.826237921 + -10.5 Combine like terms: 7.826237921 + -10.5 = -2.673762079 x = -2.673762079 Simplifying x = -2.673762079Subproblem 2
x + 10.5 = -7.826237921 Simplifying x + 10.5 = -7.826237921 Reorder the terms: 10.5 + x = -7.826237921 Solving 10.5 + x = -7.826237921 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + x = -7.826237921 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + x = -7.826237921 + -10.5 x = -7.826237921 + -10.5 Combine like terms: -7.826237921 + -10.5 = -18.326237921 x = -18.326237921 Simplifying x = -18.326237921Solution
The solution to the problem is based on the solutions from the subproblems. x = {-2.673762079, -18.326237921}
| x^2+21+49=0 | | 3(5-t)=18 | | x^2-21-49=0 | | -8(p-10)=80 | | -7k-2=-86 | | 12.25=1.75x | | -36+6m=3(8+6m) | | -29=3a-5 | | 18+n=28 | | 80=-4n | | 5x+5=-15+3x | | 16a=128 | | 30/451=x | | 48/3=x | | -4(-8+k)=104 | | 185-30=x | | 185-30= | | 177=403+w | | -17=x-11 | | 216=u-129 | | -2x+x=10 | | -3x-9=4x+68 | | -13+t=10 | | x+(-10)=38 | | -7(x+4)+3=-25 | | 4x^2-9=7 | | x^5=11.5 | | -8y=24 | | 8n-27=3(5n+5)+7 | | -5-2x=x+16 | | 1.1x=0.99 | | 2(7)-x=6 |