If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying r2 + 6r + -80 = -10 Reorder the terms: -80 + 6r + r2 = -10 Solving -80 + 6r + r2 = -10 Solving for variable 'r'. Reorder the terms: -80 + 10 + 6r + r2 = -10 + 10 Combine like terms: -80 + 10 = -70 -70 + 6r + r2 = -10 + 10 Combine like terms: -10 + 10 = 0 -70 + 6r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '70' to each side of the equation. -70 + 6r + 70 + r2 = 0 + 70 Reorder the terms: -70 + 70 + 6r + r2 = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 6r + r2 = 0 + 70 6r + r2 = 0 + 70 Combine like terms: 0 + 70 = 70 6r + r2 = 70 The r term is 6r. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6r + 9 + r2 = 70 + 9 Reorder the terms: 9 + 6r + r2 = 70 + 9 Combine like terms: 70 + 9 = 79 9 + 6r + r2 = 79 Factor a perfect square on the left side: (r + 3)(r + 3) = 79 Calculate the square root of the right side: 8.888194417 Break this problem into two subproblems by setting (r + 3) equal to 8.888194417 and -8.888194417.Subproblem 1
r + 3 = 8.888194417 Simplifying r + 3 = 8.888194417 Reorder the terms: 3 + r = 8.888194417 Solving 3 + r = 8.888194417 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = 8.888194417 + -3 Combine like terms: 3 + -3 = 0 0 + r = 8.888194417 + -3 r = 8.888194417 + -3 Combine like terms: 8.888194417 + -3 = 5.888194417 r = 5.888194417 Simplifying r = 5.888194417Subproblem 2
r + 3 = -8.888194417 Simplifying r + 3 = -8.888194417 Reorder the terms: 3 + r = -8.888194417 Solving 3 + r = -8.888194417 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = -8.888194417 + -3 Combine like terms: 3 + -3 = 0 0 + r = -8.888194417 + -3 r = -8.888194417 + -3 Combine like terms: -8.888194417 + -3 = -11.888194417 r = -11.888194417 Simplifying r = -11.888194417Solution
The solution to the problem is based on the solutions from the subproblems. r = {5.888194417, -11.888194417}
| 3-2b=2 | | -8(-7+10x)+4=-4 | | y=6y-10 | | 5y+7=-13 | | 4x+10y-20=0 | | 5m+11=61 | | y=35x-3 | | 3/10x=15 | | 26+m= | | 5/3x-x=x/6-2/3 | | -9r+12=-12 | | 77=18+z | | 6x-7=8x | | 41x=429 | | 3(g-4)=-g | | x-0.05x=10000 | | s+5+9=48 | | 36=y-13 | | 5(x+3.1)=42 | | 14x+2+4x+2=110 | | 3[5-2(x-1)]+2x=-3 | | -27=x^2-16.8x | | 0.6=X/5 | | 10=3/4s | | 7-3n=6n+12 | | t=-0.005x^2+0.45x+125 | | 7+0.2p=5+0.3p | | 4/x-1-2/3x-3=-5/6 | | -4f+2(3f+3)=9 | | (5x+7)(4x-1)= | | -4x-12x-3x=40 | | (6x+7)(4x-1)= |