If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8r2 + -91 = -16r Reorder the terms: -91 + 8r2 = -16r Solving -91 + 8r2 = -16r Solving for variable 'r'. Reorder the terms: -91 + 16r + 8r2 = -16r + 16r Combine like terms: -16r + 16r = 0 -91 + 16r + 8r2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -11.375 + 2r + r2 = 0 Move the constant term to the right: Add '11.375' to each side of the equation. -11.375 + 2r + 11.375 + r2 = 0 + 11.375 Reorder the terms: -11.375 + 11.375 + 2r + r2 = 0 + 11.375 Combine like terms: -11.375 + 11.375 = 0.000 0.000 + 2r + r2 = 0 + 11.375 2r + r2 = 0 + 11.375 Combine like terms: 0 + 11.375 = 11.375 2r + r2 = 11.375 The r term is 2r. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2r + 1 + r2 = 11.375 + 1 Reorder the terms: 1 + 2r + r2 = 11.375 + 1 Combine like terms: 11.375 + 1 = 12.375 1 + 2r + r2 = 12.375 Factor a perfect square on the left side: (r + 1)(r + 1) = 12.375 Calculate the square root of the right side: 3.51781182 Break this problem into two subproblems by setting (r + 1) equal to 3.51781182 and -3.51781182.Subproblem 1
r + 1 = 3.51781182 Simplifying r + 1 = 3.51781182 Reorder the terms: 1 + r = 3.51781182 Solving 1 + r = 3.51781182 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 3.51781182 + -1 Combine like terms: 1 + -1 = 0 0 + r = 3.51781182 + -1 r = 3.51781182 + -1 Combine like terms: 3.51781182 + -1 = 2.51781182 r = 2.51781182 Simplifying r = 2.51781182Subproblem 2
r + 1 = -3.51781182 Simplifying r + 1 = -3.51781182 Reorder the terms: 1 + r = -3.51781182 Solving 1 + r = -3.51781182 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = -3.51781182 + -1 Combine like terms: 1 + -1 = 0 0 + r = -3.51781182 + -1 r = -3.51781182 + -1 Combine like terms: -3.51781182 + -1 = -4.51781182 r = -4.51781182 Simplifying r = -4.51781182Solution
The solution to the problem is based on the solutions from the subproblems. r = {2.51781182, -4.51781182}
| 45=-2x+7(4x+25) | | y=45x-.5x^2 | | 2(x-5)+1=6x-4(2+x) | | X-9=9+7x | | (X+1)+x+(3x-1)=30 | | 50+65h=505 | | 6(2a-1)6a=12 | | -5(6n-5)+3= | | -48=-7(1+5b)-6(-1+2b) | | y=5sec(2pix) | | x+.07x=2040.60 | | 3x+12-x+4=78 | | 16x^6y^5-40x^4y^3+8xy= | | 35x^2+55x-150=0 | | -6b+5+5b=-2b+5 | | 2aa+4=10 | | 15=b-7 | | 2x^2=-14 | | 5+3x=-x+49 | | -36=5w | | -6(2x-3)-2(2-8x)=14 | | -9=s+7 | | 8y-4=3(6y-7)+7-10y | | -5(-4m-8)=20 | | (7x-3)+x=69 | | 4x+6+2x=72 | | 2(5k+3)-26k+9+4= | | -x+3=2x-4-3x | | -5(7x+2)+8=-72 | | x(x-11)=-18 | | -1+x=-5x+23 | | -126=24k |