If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (r + -3)(r + 13) = 16 Reorder the terms: (-3 + r)(r + 13) = 16 Reorder the terms: (-3 + r)(13 + r) = 16 Multiply (-3 + r) * (13 + r) (-3(13 + r) + r(13 + r)) = 16 ((13 * -3 + r * -3) + r(13 + r)) = 16 ((-39 + -3r) + r(13 + r)) = 16 (-39 + -3r + (13 * r + r * r)) = 16 (-39 + -3r + (13r + r2)) = 16 Combine like terms: -3r + 13r = 10r (-39 + 10r + r2) = 16 Solving -39 + 10r + r2 = 16 Solving for variable 'r'. Reorder the terms: -39 + -16 + 10r + r2 = 16 + -16 Combine like terms: -39 + -16 = -55 -55 + 10r + r2 = 16 + -16 Combine like terms: 16 + -16 = 0 -55 + 10r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '55' to each side of the equation. -55 + 10r + 55 + r2 = 0 + 55 Reorder the terms: -55 + 55 + 10r + r2 = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 10r + r2 = 0 + 55 10r + r2 = 0 + 55 Combine like terms: 0 + 55 = 55 10r + r2 = 55 The r term is 10r. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10r + 25 + r2 = 55 + 25 Reorder the terms: 25 + 10r + r2 = 55 + 25 Combine like terms: 55 + 25 = 80 25 + 10r + r2 = 80 Factor a perfect square on the left side: (r + 5)(r + 5) = 80 Calculate the square root of the right side: 8.94427191 Break this problem into two subproblems by setting (r + 5) equal to 8.94427191 and -8.94427191.Subproblem 1
r + 5 = 8.94427191 Simplifying r + 5 = 8.94427191 Reorder the terms: 5 + r = 8.94427191 Solving 5 + r = 8.94427191 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r = 8.94427191 + -5 Combine like terms: 5 + -5 = 0 0 + r = 8.94427191 + -5 r = 8.94427191 + -5 Combine like terms: 8.94427191 + -5 = 3.94427191 r = 3.94427191 Simplifying r = 3.94427191Subproblem 2
r + 5 = -8.94427191 Simplifying r + 5 = -8.94427191 Reorder the terms: 5 + r = -8.94427191 Solving 5 + r = -8.94427191 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r = -8.94427191 + -5 Combine like terms: 5 + -5 = 0 0 + r = -8.94427191 + -5 r = -8.94427191 + -5 Combine like terms: -8.94427191 + -5 = -13.94427191 r = -13.94427191 Simplifying r = -13.94427191Solution
The solution to the problem is based on the solutions from the subproblems. r = {3.94427191, -13.94427191}
| 2(x-1)/1/3x-1=4 | | y=10x^3-9x^2+6x+5 | | 3/4(44.50) | | F(X)=.071x^2-.426x+8.05 | | Sqrt(2x^2-6x)+sqrt(6x^2-30x)+sqrt(3x^2-12x)=18 | | 4+2n-1=6n+7-2n | | Sqrt(2x^2-6x)=18 | | 1.5(3y-2)-1=-8.7+5.1y+4.3 | | 48=5c-2 | | 3-r=10 | | 1.6X+28=40-1.4x | | 2a^2=1 | | -1/2(x+2)+1/3(x-3)=7 | | 2.5(y-6)=5 | | 8.5=2.49 | | -2+3x=-3+8x# | | 5c+2=47 | | -4=x^5+80x^2 | | 12-8x=0 | | -4=x^5+80x | | 5x-9=2x+19 | | 26+40=14x-15 | | 33-2b=25 | | 26+40=14x-15x | | -6(x-1)-2x=6-8(x+6) | | 4x+7-6x=5+-4x+4 | | 10x+5=42 | | 17=2a+7 | | (-3x)(x-2)=0 | | 9x+6(9x-7)=7x-26 | | 24x+96=72 | | 8x-6-9x=3 |