If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9r2 = 1 + 2r Solving 9r2 = 1 + 2r Solving for variable 'r'. Reorder the terms: -1 + -2r + 9r2 = 1 + 2r + -1 + -2r Reorder the terms: -1 + -2r + 9r2 = 1 + -1 + 2r + -2r Combine like terms: 1 + -1 = 0 -1 + -2r + 9r2 = 0 + 2r + -2r -1 + -2r + 9r2 = 2r + -2r Combine like terms: 2r + -2r = 0 -1 + -2r + 9r2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -0.1111111111 + -0.2222222222r + r2 = 0 Move the constant term to the right: Add '0.1111111111' to each side of the equation. -0.1111111111 + -0.2222222222r + 0.1111111111 + r2 = 0 + 0.1111111111 Reorder the terms: -0.1111111111 + 0.1111111111 + -0.2222222222r + r2 = 0 + 0.1111111111 Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000 0.0000000000 + -0.2222222222r + r2 = 0 + 0.1111111111 -0.2222222222r + r2 = 0 + 0.1111111111 Combine like terms: 0 + 0.1111111111 = 0.1111111111 -0.2222222222r + r2 = 0.1111111111 The r term is -0.2222222222r. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222r + 0.01234567901 + r2 = 0.1111111111 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222r + r2 = 0.1111111111 + 0.01234567901 Combine like terms: 0.1111111111 + 0.01234567901 = 0.12345679011 0.01234567901 + -0.2222222222r + r2 = 0.12345679011 Factor a perfect square on the left side: (r + -0.1111111111)(r + -0.1111111111) = 0.12345679011 Calculate the square root of the right side: 0.351364184 Break this problem into two subproblems by setting (r + -0.1111111111) equal to 0.351364184 and -0.351364184.Subproblem 1
r + -0.1111111111 = 0.351364184 Simplifying r + -0.1111111111 = 0.351364184 Reorder the terms: -0.1111111111 + r = 0.351364184 Solving -0.1111111111 + r = 0.351364184 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.1111111111' to each side of the equation. -0.1111111111 + 0.1111111111 + r = 0.351364184 + 0.1111111111 Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000 0.0000000000 + r = 0.351364184 + 0.1111111111 r = 0.351364184 + 0.1111111111 Combine like terms: 0.351364184 + 0.1111111111 = 0.4624752951 r = 0.4624752951 Simplifying r = 0.4624752951Subproblem 2
r + -0.1111111111 = -0.351364184 Simplifying r + -0.1111111111 = -0.351364184 Reorder the terms: -0.1111111111 + r = -0.351364184 Solving -0.1111111111 + r = -0.351364184 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.1111111111' to each side of the equation. -0.1111111111 + 0.1111111111 + r = -0.351364184 + 0.1111111111 Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000 0.0000000000 + r = -0.351364184 + 0.1111111111 r = -0.351364184 + 0.1111111111 Combine like terms: -0.351364184 + 0.1111111111 = -0.2402530729 r = -0.2402530729 Simplifying r = -0.2402530729Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.4624752951, -0.2402530729}
| 8x+4=12+6x | | x=2/4 | | 5/8f=9 | | 9x-184=2x-9 | | 4y^2-8y-8=13 | | M=1/5(3) | | 2a^2-11=4a | | c^2+4=28 | | 6y+6=12+8y | | x+2y=777 | | 5x+5=25-10x | | 14a=1/4 | | 2v^2+11v=63 | | 2b^2=162 | | 2/9z=5 | | T/3+21=74 | | 2n^2-10=n | | -4x^2+11x+24=-5x^2 | | (4x-3/5y)^3 | | -x-96=-12x+223 | | 3p^2+16p+7=-14 | | 4x+4=9x-35 | | 3(m-1)=-17+m | | -26+11x=8x+43 | | x+2y=770 | | 1nx=5 | | 1/4x=3-1/16x | | 2(x-7)=3(2x-5) | | (4y-3)(3y+8)=0 | | -25-3x=-7+51 | | 3b^2-4=-b | | 2x-9=5(x+3) |