If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3r2 + -2r + -3 = 0 Reorder the terms: -3 + -2r + 3r2 = 0 Solving -3 + -2r + 3r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1 + -0.6666666667r + r2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -0.6666666667r + 1 + r2 = 0 + 1 Reorder the terms: -1 + 1 + -0.6666666667r + r2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -0.6666666667r + r2 = 0 + 1 -0.6666666667r + r2 = 0 + 1 Combine like terms: 0 + 1 = 1 -0.6666666667r + r2 = 1 The r term is -0.6666666667r. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667r + 0.1111111112 + r2 = 1 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667r + r2 = 1 + 0.1111111112 Combine like terms: 1 + 0.1111111112 = 1.1111111112 0.1111111112 + -0.6666666667r + r2 = 1.1111111112 Factor a perfect square on the left side: (r + -0.3333333334)(r + -0.3333333334) = 1.1111111112 Calculate the square root of the right side: 1.054092553 Break this problem into two subproblems by setting (r + -0.3333333334) equal to 1.054092553 and -1.054092553.Subproblem 1
r + -0.3333333334 = 1.054092553 Simplifying r + -0.3333333334 = 1.054092553 Reorder the terms: -0.3333333334 + r = 1.054092553 Solving -0.3333333334 + r = 1.054092553 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + r = 1.054092553 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + r = 1.054092553 + 0.3333333334 r = 1.054092553 + 0.3333333334 Combine like terms: 1.054092553 + 0.3333333334 = 1.3874258864 r = 1.3874258864 Simplifying r = 1.3874258864Subproblem 2
r + -0.3333333334 = -1.054092553 Simplifying r + -0.3333333334 = -1.054092553 Reorder the terms: -0.3333333334 + r = -1.054092553 Solving -0.3333333334 + r = -1.054092553 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + r = -1.054092553 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + r = -1.054092553 + 0.3333333334 r = -1.054092553 + 0.3333333334 Combine like terms: -1.054092553 + 0.3333333334 = -0.7207592196 r = -0.7207592196 Simplifying r = -0.7207592196Solution
The solution to the problem is based on the solutions from the subproblems. r = {1.3874258864, -0.7207592196}
| 6x-16=4x+30 | | x^2-5xy+6y^2=0 | | (7x-2)(-5x+6)= | | a^2+14a-99=0 | | -2m-5m=9m-12 | | 7n+1=2n-4 | | -x+19+3x+19=4 | | 50+2x=120-5x | | 24+8=24+2x | | 7y-4=-14 | | u(u^4-13u^2+36)=0 | | 11+m=m-.25 | | x+1=12+3x | | u(u^4-13u^2+63)=0 | | 8a-5a=3a | | 24+2x=24+8 | | 13.4=8.5-x | | -12x+3(x-5)=6-2x | | 24+8x=24+2 | | 2(n+1)+2=3n-4 | | 8x^2-2xy+7y^2=4 | | 5p-55=a | | c=1.50+0.75h | | 11+5y=2y+8 | | 32x-7=19x-7 | | x^2-xy-6y^2=0 | | 10y^2-12y+7=0 | | 2-3(x-4)=11 | | 2+6h+18=2.4h+22 | | 98+12= | | x+9=2x-1 | | -5n-2+3(2n+1)=4n-3 |