If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2b2 + -28b + 196 = 1225 Reorder the terms: 196 + -28b + 2b2 = 1225 Solving 196 + -28b + 2b2 = 1225 Solving for variable 'b'. Reorder the terms: 196 + -1225 + -28b + 2b2 = 1225 + -1225 Combine like terms: 196 + -1225 = -1029 -1029 + -28b + 2b2 = 1225 + -1225 Combine like terms: 1225 + -1225 = 0 -1029 + -28b + 2b2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -514.5 + -14b + b2 = 0 Move the constant term to the right: Add '514.5' to each side of the equation. -514.5 + -14b + 514.5 + b2 = 0 + 514.5 Reorder the terms: -514.5 + 514.5 + -14b + b2 = 0 + 514.5 Combine like terms: -514.5 + 514.5 = 0.0 0.0 + -14b + b2 = 0 + 514.5 -14b + b2 = 0 + 514.5 Combine like terms: 0 + 514.5 = 514.5 -14b + b2 = 514.5 The b term is -14b. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14b + 49 + b2 = 514.5 + 49 Reorder the terms: 49 + -14b + b2 = 514.5 + 49 Combine like terms: 514.5 + 49 = 563.5 49 + -14b + b2 = 563.5 Factor a perfect square on the left side: (b + -7)(b + -7) = 563.5 Calculate the square root of the right side: 23.738154941 Break this problem into two subproblems by setting (b + -7) equal to 23.738154941 and -23.738154941.Subproblem 1
b + -7 = 23.738154941 Simplifying b + -7 = 23.738154941 Reorder the terms: -7 + b = 23.738154941 Solving -7 + b = 23.738154941 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + b = 23.738154941 + 7 Combine like terms: -7 + 7 = 0 0 + b = 23.738154941 + 7 b = 23.738154941 + 7 Combine like terms: 23.738154941 + 7 = 30.738154941 b = 30.738154941 Simplifying b = 30.738154941Subproblem 2
b + -7 = -23.738154941 Simplifying b + -7 = -23.738154941 Reorder the terms: -7 + b = -23.738154941 Solving -7 + b = -23.738154941 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + b = -23.738154941 + 7 Combine like terms: -7 + 7 = 0 0 + b = -23.738154941 + 7 b = -23.738154941 + 7 Combine like terms: -23.738154941 + 7 = -16.738154941 b = -16.738154941 Simplifying b = -16.738154941Solution
The solution to the problem is based on the solutions from the subproblems. b = {30.738154941, -16.738154941}
| 2b^2+28b+196=1225 | | x+.25x(x-54)=180 | | 12r^2=-68r+112 | | 3x-5+5x=8x-5 | | 4y^2+5y+2=0 | | (6m^2n^-2)^-2/(5m^-1n)^-1 | | 2.8b-2=8.4b+22 | | -2x+y-3=0 | | 68=441+2x+2x^2 | | 7x-13=3x-23 | | 3x-8=3x-9 | | 2w^2-3w-52=0 | | x^2+4x+4=27 | | -3g-g= | | 2z^2+11z+6=0 | | Xsquare+7x+8=0 | | 77-7x=20x+17 | | 2601=441+2x+2x^2 | | a^2+2a+1=39 | | sin^2x=2+2cosx | | 3x-4=3x-7 | | 0.5x-4=2x+7 | | 5m=a | | 5(2+3x)=44 | | 2(w+4)+2w=64 | | 7x=3.14 | | 2log(x+1)=6 | | 5x+2=8x-5 | | 8h-15=7-3h | | 4n+8p= | | -17x=34 | | -17=34 |