If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying r2 + -10r + -87 = 5 Reorder the terms: -87 + -10r + r2 = 5 Solving -87 + -10r + r2 = 5 Solving for variable 'r'. Reorder the terms: -87 + -5 + -10r + r2 = 5 + -5 Combine like terms: -87 + -5 = -92 -92 + -10r + r2 = 5 + -5 Combine like terms: 5 + -5 = 0 -92 + -10r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '92' to each side of the equation. -92 + -10r + 92 + r2 = 0 + 92 Reorder the terms: -92 + 92 + -10r + r2 = 0 + 92 Combine like terms: -92 + 92 = 0 0 + -10r + r2 = 0 + 92 -10r + r2 = 0 + 92 Combine like terms: 0 + 92 = 92 -10r + r2 = 92 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 = 92 + 25 Reorder the terms: 25 + -10r + r2 = 92 + 25 Combine like terms: 92 + 25 = 117 25 + -10r + r2 = 117 Factor a perfect square on the left side: (r + -5)(r + -5) = 117 Calculate the square root of the right side: 10.816653826 Break this problem into two subproblems by setting (r + -5) equal to 10.816653826 and -10.816653826.Subproblem 1
r + -5 = 10.816653826 Simplifying r + -5 = 10.816653826 Reorder the terms: -5 + r = 10.816653826 Solving -5 + r = 10.816653826 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 = 10.816653826 + 5 Combine like terms: -5 + 5 = 0 0 + r = 10.816653826 + 5 r = 10.816653826 + 5 Combine like terms: 10.816653826 + 5 = 15.816653826 r = 15.816653826 Simplifying r = 15.816653826Subproblem 2
r + -5 = -10.816653826 Simplifying r + -5 = -10.816653826 Reorder the terms: -5 + r = -10.816653826 Solving -5 + r = -10.816653826 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 = -10.816653826 + 5 Combine like terms: -5 + 5 = 0 0 + r = -10.816653826 + 5 r = -10.816653826 + 5 Combine like terms: -10.816653826 + 5 = -5.816653826 r = -5.816653826 Simplifying r = -5.816653826Solution
The solution to the problem is based on the solutions from the subproblems. r = {15.816653826, -5.816653826}
| -1-8x-3= | | 2n-(-6)=60 | | 9x+2+5x+10=180 | | x^3+4x^2+10x+15=0 | | 0-8x-3= | | n+2=-6+3n | | 0.9354=-638*X+1.087 | | y=(x^3-3)(4x^2+7) | | 2x+4=7x-28 | | 15y-120=12y | | (25-25)/(5-5)=0 | | 2+5+2=250 | | 2cos(4x)=-1 | | 60-2x=76-3x | | 2/x=4/x+2 | | (25-25)/(5-5) | | 4x-30=3x+13 | | -4(2x+3)=-6x+5 | | 2x^2-11x+21=9 | | 5cos^2+4cos=1 | | 3x^2+12x+7=-2 | | 12-3/5x-1/5x-16 | | 2x-3/9-x/6=31-2x/2 | | 16cosx=7 | | 2x^3-32x^2+128x=0 | | y=14+8 | | y=41+8 | | -5=-2u+1 | | -18=4y-2 | | 3(4x-7)=2x+5 | | 2w+1=-3 | | 2x-23=23 |