If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying b2 + -12b + -42 = 0 Reorder the terms: -42 + -12b + b2 = 0 Solving -42 + -12b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '42' to each side of the equation. -42 + -12b + 42 + b2 = 0 + 42 Reorder the terms: -42 + 42 + -12b + b2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -12b + b2 = 0 + 42 -12b + b2 = 0 + 42 Combine like terms: 0 + 42 = 42 -12b + b2 = 42 The b term is -12b. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12b + 36 + b2 = 42 + 36 Reorder the terms: 36 + -12b + b2 = 42 + 36 Combine like terms: 42 + 36 = 78 36 + -12b + b2 = 78 Factor a perfect square on the left side: (b + -6)(b + -6) = 78 Calculate the square root of the right side: 8.831760866 Break this problem into two subproblems by setting (b + -6) equal to 8.831760866 and -8.831760866.Subproblem 1
b + -6 = 8.831760866 Simplifying b + -6 = 8.831760866 Reorder the terms: -6 + b = 8.831760866 Solving -6 + b = 8.831760866 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + b = 8.831760866 + 6 Combine like terms: -6 + 6 = 0 0 + b = 8.831760866 + 6 b = 8.831760866 + 6 Combine like terms: 8.831760866 + 6 = 14.831760866 b = 14.831760866 Simplifying b = 14.831760866Subproblem 2
b + -6 = -8.831760866 Simplifying b + -6 = -8.831760866 Reorder the terms: -6 + b = -8.831760866 Solving -6 + b = -8.831760866 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + b = -8.831760866 + 6 Combine like terms: -6 + 6 = 0 0 + b = -8.831760866 + 6 b = -8.831760866 + 6 Combine like terms: -8.831760866 + 6 = -2.831760866 b = -2.831760866 Simplifying b = -2.831760866Solution
The solution to the problem is based on the solutions from the subproblems. b = {14.831760866, -2.831760866}
| 6(c-2)+3=2+c-11 | | -2(t+5)=8 | | -90-(-29)-41-(-58)= | | -91+2y+7=3(3y-4)-9 | | m^2+4m-55=0 | | 2m=20 | | a=b-y | | b=y-a | | -30=6(y+2) | | r^2+14r+40=0 | | -5=-p | | 1=4x+3 | | n^2-4n-61=0 | | 5t+6t=11+20-9 | | 5-v=13 | | k^2-4k-10=0 | | 6-26=5a | | -72=9n | | 12=6-9y | | 7z=0 | | 4x^4+7x^2-36=0 | | 3b=33 | | -45=-15s | | 49=7n | | k^2-12k+27=0 | | 8-8=5y-4y | | -16m+8m=17-89 | | p^2-4p-45=0 | | -r=3 | | p^2-4p-54=0 | | 8=-n | | 3m^2+6m+1=0 |