If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 18 = 0.5b(2b + 1) Reorder the terms: 18 = 0.5b(1 + 2b) 18 = (1 * 0.5b + 2b * 0.5b) 18 = (0.5b + 1b2) Solving 18 = 0.5b + 1b2 Solving for variable 'b'. Reorder the terms: 18 + -0.5b + -1b2 = 0.5b + -0.5b + 1b2 + -1b2 Combine like terms: 0.5b + -0.5b = 0.0 18 + -0.5b + -1b2 = 0.0 + 1b2 + -1b2 18 + -0.5b + -1b2 = 1b2 + -1b2 Combine like terms: 1b2 + -1b2 = 0 18 + -0.5b + -1b2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -18 + 0.5b + b2 = 0 Move the constant term to the right: Add '18' to each side of the equation. -18 + 0.5b + 18 + b2 = 0 + 18 Reorder the terms: -18 + 18 + 0.5b + b2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 0.5b + b2 = 0 + 18 0.5b + b2 = 0 + 18 Combine like terms: 0 + 18 = 18 0.5b + b2 = 18 The b term is 0.5b. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5b + 0.0625 + b2 = 18 + 0.0625 Reorder the terms: 0.0625 + 0.5b + b2 = 18 + 0.0625 Combine like terms: 18 + 0.0625 = 18.0625 0.0625 + 0.5b + b2 = 18.0625 Factor a perfect square on the left side: (b + 0.25)(b + 0.25) = 18.0625 Calculate the square root of the right side: 4.25 Break this problem into two subproblems by setting (b + 0.25) equal to 4.25 and -4.25.Subproblem 1
b + 0.25 = 4.25 Simplifying b + 0.25 = 4.25 Reorder the terms: 0.25 + b = 4.25 Solving 0.25 + b = 4.25 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + b = 4.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + b = 4.25 + -0.25 b = 4.25 + -0.25 Combine like terms: 4.25 + -0.25 = 4 b = 4 Simplifying b = 4Subproblem 2
b + 0.25 = -4.25 Simplifying b + 0.25 = -4.25 Reorder the terms: 0.25 + b = -4.25 Solving 0.25 + b = -4.25 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + b = -4.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + b = -4.25 + -0.25 b = -4.25 + -0.25 Combine like terms: -4.25 + -0.25 = -4.5 b = -4.5 Simplifying b = -4.5Solution
The solution to the problem is based on the solutions from the subproblems. b = {4, -4.5}
| 7x-3x+x-7+4x= | | x^2+20x+59= | | -49=-7v | | 2X+9Y=-8 | | 3(5y+5)-2(y-3)= | | 6u+4u+u-10u=19 | | 5x=2.7 | | 6-x-x=6 | | 2b-2b+b+2b-b=12 | | x^2+25x+1296=0 | | 5x^2y^2+20xy+1= | | 42x+3y=16 | | 4x^3+28x^2+4x+28= | | 8-10x=56-38x | | 61=(10x+1)-(5x-1) | | y-6-y=6 | | 3(1+3m)=7+5m | | 9=x+6 | | -3+39x-36x^2= | | 12y-11y+16=-22 | | -z^2+z+4=0 | | 5n+20=25 | | y-1.1=5.1 | | 5x+9=-95+-8x | | 16p^4-104p^3+169p^2= | | u+4=2 | | -n-26=2(1-4n) | | -2(7x-4)+1=-14x+9 | | 4.5x+6.75=13.95 | | 8.5n-7.5n+8.5=4.8 | | 5x+5=-95-8x | | 21+7c=6c-12 |