If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (r + -5)(r + 9) = -31 Reorder the terms: (-5 + r)(r + 9) = -31 Reorder the terms: (-5 + r)(9 + r) = -31 Multiply (-5 + r) * (9 + r) (-5(9 + r) + r(9 + r)) = -31 ((9 * -5 + r * -5) + r(9 + r)) = -31 ((-45 + -5r) + r(9 + r)) = -31 (-45 + -5r + (9 * r + r * r)) = -31 (-45 + -5r + (9r + r2)) = -31 Combine like terms: -5r + 9r = 4r (-45 + 4r + r2) = -31 Solving -45 + 4r + r2 = -31 Solving for variable 'r'. Reorder the terms: -45 + 31 + 4r + r2 = -31 + 31 Combine like terms: -45 + 31 = -14 -14 + 4r + r2 = -31 + 31 Combine like terms: -31 + 31 = 0 -14 + 4r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '14' to each side of the equation. -14 + 4r + 14 + r2 = 0 + 14 Reorder the terms: -14 + 14 + 4r + r2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 4r + r2 = 0 + 14 4r + r2 = 0 + 14 Combine like terms: 0 + 14 = 14 4r + r2 = 14 The r term is 4r. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4r + 4 + r2 = 14 + 4 Reorder the terms: 4 + 4r + r2 = 14 + 4 Combine like terms: 14 + 4 = 18 4 + 4r + r2 = 18 Factor a perfect square on the left side: (r + 2)(r + 2) = 18 Calculate the square root of the right side: 4.242640687 Break this problem into two subproblems by setting (r + 2) equal to 4.242640687 and -4.242640687.Subproblem 1
r + 2 = 4.242640687 Simplifying r + 2 = 4.242640687 Reorder the terms: 2 + r = 4.242640687 Solving 2 + r = 4.242640687 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 4.242640687 + -2 Combine like terms: 2 + -2 = 0 0 + r = 4.242640687 + -2 r = 4.242640687 + -2 Combine like terms: 4.242640687 + -2 = 2.242640687 r = 2.242640687 Simplifying r = 2.242640687Subproblem 2
r + 2 = -4.242640687 Simplifying r + 2 = -4.242640687 Reorder the terms: 2 + r = -4.242640687 Solving 2 + r = -4.242640687 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = -4.242640687 + -2 Combine like terms: 2 + -2 = 0 0 + r = -4.242640687 + -2 r = -4.242640687 + -2 Combine like terms: -4.242640687 + -2 = -6.242640687 r = -6.242640687 Simplifying r = -6.242640687Solution
The solution to the problem is based on the solutions from the subproblems. r = {2.242640687, -6.242640687}
| x=-0.60x+108 | | t+t+t+27=t+51+72+94 | | y=-0.60x+108 | | y=-0.60+108 | | 257+63x=0 | | 3x/6=5/5+4x+9/2 | | (3/4)^2-2x+1/2=0 | | 3-9(1-4x)=-21 | | 3/4^2-2x+1/2=0 | | -x/9 | | 3/4x2-2x+1/2=0 | | 4x+28+9x=54 | | 14=-z+8 | | 11y+1=4y-9+-4 | | 24/X+4=8/X | | 6.3x=37.8 | | (r-2)(r+8)=55 | | 41=3(2-3h) | | -(-8x)=(-24) | | X^2-15=16x | | 4x+28+9x=9.6 | | 25(x+4)=5(2x+5) | | (x+3)/44=42/24 | | 7n=2n-5+-5 | | 2.5+1x=27.5 | | -8w-10=-9-4w+8w | | 5x^2+22x+11=0 | | Sqrtx+12=x | | Sortx+12=x | | -(-5x)=(-84) | | 16+2(4m-8)=64 | | 2-4x=2x+44 |