If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying b(b + 45) + 90(2b + -90) + 1.5b = 540 Reorder the terms: b(45 + b) + 90(2b + -90) + 1.5b = 540 (45 * b + b * b) + 90(2b + -90) + 1.5b = 540 (45b + b2) + 90(2b + -90) + 1.5b = 540 Reorder the terms: 45b + b2 + 90(-90 + 2b) + 1.5b = 540 45b + b2 + (-90 * 90 + 2b * 90) + 1.5b = 540 45b + b2 + (-8100 + 180b) + 1.5b = 540 Reorder the terms: -8100 + 45b + 180b + 1.5b + b2 = 540 Combine like terms: 45b + 180b = 225b -8100 + 225b + 1.5b + b2 = 540 Combine like terms: 225b + 1.5b = 226.5b -8100 + 226.5b + b2 = 540 Solving -8100 + 226.5b + b2 = 540 Solving for variable 'b'. Reorder the terms: -8100 + -540 + 226.5b + b2 = 540 + -540 Combine like terms: -8100 + -540 = -8640 -8640 + 226.5b + b2 = 540 + -540 Combine like terms: 540 + -540 = 0 -8640 + 226.5b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '8640' to each side of the equation. -8640 + 226.5b + 8640 + b2 = 0 + 8640 Reorder the terms: -8640 + 8640 + 226.5b + b2 = 0 + 8640 Combine like terms: -8640 + 8640 = 0 0 + 226.5b + b2 = 0 + 8640 226.5b + b2 = 0 + 8640 Combine like terms: 0 + 8640 = 8640 226.5b + b2 = 8640 The b term is 226.5b. Take half its coefficient (113.25). Square it (12825.5625) and add it to both sides. Add '12825.5625' to each side of the equation. 226.5b + 12825.5625 + b2 = 8640 + 12825.5625 Reorder the terms: 12825.5625 + 226.5b + b2 = 8640 + 12825.5625 Combine like terms: 8640 + 12825.5625 = 21465.5625 12825.5625 + 226.5b + b2 = 21465.5625 Factor a perfect square on the left side: (b + 113.25)(b + 113.25) = 21465.5625 Calculate the square root of the right side: 146.511305025 Break this problem into two subproblems by setting (b + 113.25) equal to 146.511305025 and -146.511305025.Subproblem 1
b + 113.25 = 146.511305025 Simplifying b + 113.25 = 146.511305025 Reorder the terms: 113.25 + b = 146.511305025 Solving 113.25 + b = 146.511305025 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-113.25' to each side of the equation. 113.25 + -113.25 + b = 146.511305025 + -113.25 Combine like terms: 113.25 + -113.25 = 0.00 0.00 + b = 146.511305025 + -113.25 b = 146.511305025 + -113.25 Combine like terms: 146.511305025 + -113.25 = 33.261305025 b = 33.261305025 Simplifying b = 33.261305025Subproblem 2
b + 113.25 = -146.511305025 Simplifying b + 113.25 = -146.511305025 Reorder the terms: 113.25 + b = -146.511305025 Solving 113.25 + b = -146.511305025 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-113.25' to each side of the equation. 113.25 + -113.25 + b = -146.511305025 + -113.25 Combine like terms: 113.25 + -113.25 = 0.00 0.00 + b = -146.511305025 + -113.25 b = -146.511305025 + -113.25 Combine like terms: -146.511305025 + -113.25 = -259.761305025 b = -259.761305025 Simplifying b = -259.761305025Solution
The solution to the problem is based on the solutions from the subproblems. b = {33.261305025, -259.761305025}
| 325/80=x | | -2y+5x=-16 | | -130+7x=5x+146 | | 20x+12=25x-18 | | 175m-100m+48750=50000-175m | | 600x-200y=500x | | 3(g-7)=z(10+9) | | X+11.9=20.1 | | yx=6 | | 7abc+7abc= | | 320/80=x | | -0.002x^2+1.2x+4=0 | | 3x^2-8+83=o | | -71-8x=-11x+35 | | 3(x+1)=29(x+11) | | 2028x^2+2496x+768=0 | | 10-7x+x=58 | | 15x+5(20x)=415 | | 2+5a=6+3a | | 205-225=x | | 0.3+0.05y= | | 10.4=x+6.8 | | 11x-31=7x+17 | | r/3+5=12 | | 5+4f=3+14f | | 3[x-2]=5[x-2]-7 | | (x^4)+(4x^2)=0 | | 4x-9+x+8=5 | | 15x+5(15x+5x)=415 | | 2x+25=.285714285x | | 0=.002x^2+1.2x+4 | | 891x^3+539x=0 |