If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 50r2 + 99r + 48 = 0 Reorder the terms: 48 + 99r + 50r2 = 0 Solving 48 + 99r + 50r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 0.96 + 1.98r + r2 = 0 Move the constant term to the right: Add '-0.96' to each side of the equation. 0.96 + 1.98r + -0.96 + r2 = 0 + -0.96 Reorder the terms: 0.96 + -0.96 + 1.98r + r2 = 0 + -0.96 Combine like terms: 0.96 + -0.96 = 0.00 0.00 + 1.98r + r2 = 0 + -0.96 1.98r + r2 = 0 + -0.96 Combine like terms: 0 + -0.96 = -0.96 1.98r + r2 = -0.96 The r term is 1.98r. Take half its coefficient (0.99). Square it (0.9801) and add it to both sides. Add '0.9801' to each side of the equation. 1.98r + 0.9801 + r2 = -0.96 + 0.9801 Reorder the terms: 0.9801 + 1.98r + r2 = -0.96 + 0.9801 Combine like terms: -0.96 + 0.9801 = 0.0201 0.9801 + 1.98r + r2 = 0.0201 Factor a perfect square on the left side: (r + 0.99)(r + 0.99) = 0.0201 Calculate the square root of the right side: 0.141774469 Break this problem into two subproblems by setting (r + 0.99) equal to 0.141774469 and -0.141774469.Subproblem 1
r + 0.99 = 0.141774469 Simplifying r + 0.99 = 0.141774469 Reorder the terms: 0.99 + r = 0.141774469 Solving 0.99 + r = 0.141774469 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.99' to each side of the equation. 0.99 + -0.99 + r = 0.141774469 + -0.99 Combine like terms: 0.99 + -0.99 = 0.00 0.00 + r = 0.141774469 + -0.99 r = 0.141774469 + -0.99 Combine like terms: 0.141774469 + -0.99 = -0.848225531 r = -0.848225531 Simplifying r = -0.848225531Subproblem 2
r + 0.99 = -0.141774469 Simplifying r + 0.99 = -0.141774469 Reorder the terms: 0.99 + r = -0.141774469 Solving 0.99 + r = -0.141774469 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.99' to each side of the equation. 0.99 + -0.99 + r = -0.141774469 + -0.99 Combine like terms: 0.99 + -0.99 = 0.00 0.00 + r = -0.141774469 + -0.99 r = -0.141774469 + -0.99 Combine like terms: -0.141774469 + -0.99 = -1.131774469 r = -1.131774469 Simplifying r = -1.131774469Solution
The solution to the problem is based on the solutions from the subproblems. r = {-0.848225531, -1.131774469}
| 3(3x+3)=36 | | 2y-y+2=7 | | 6x+4=2x-1 | | 4+4x=-2x+64 | | 3y-6=12 | | -5=-5x-7x+7 | | 2x^2-x+5=0 | | 9f+7=1+5f | | 2a-4=20 | | h^2-4h=-4 | | 12-3e=6-5e | | 4a+3a-4=10 | | 2b-18=5b | | z^2-12z+36=0 | | 2+d=5d+4 | | 3c-5=2-4c | | 3q^3-12q=0 | | 20x+33+x=180 | | 5b-10=8b-1 | | 2x+33+x=180 | | -2=-3x-7x+8 | | 3c^3=3c(c+2) | | 5x+2=6x-1 | | 3+7a=5-a | | 2v^2=2-3v | | 1+2q=11-3q | | -1+7x-2x=24 | | 6+7x=76 | | x^3-50x-60=0 | | P+2=5-3p | | x^3-50x=60 | | 2-t=2t+8 |