If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4r + -21)(r + 5) = -96 Reorder the terms: (-21 + 4r)(r + 5) = -96 Reorder the terms: (-21 + 4r)(5 + r) = -96 Multiply (-21 + 4r) * (5 + r) (-21(5 + r) + 4r * (5 + r)) = -96 ((5 * -21 + r * -21) + 4r * (5 + r)) = -96 ((-105 + -21r) + 4r * (5 + r)) = -96 (-105 + -21r + (5 * 4r + r * 4r)) = -96 (-105 + -21r + (20r + 4r2)) = -96 Combine like terms: -21r + 20r = -1r (-105 + -1r + 4r2) = -96 Solving -105 + -1r + 4r2 = -96 Solving for variable 'r'. Reorder the terms: -105 + 96 + -1r + 4r2 = -96 + 96 Combine like terms: -105 + 96 = -9 -9 + -1r + 4r2 = -96 + 96 Combine like terms: -96 + 96 = 0 -9 + -1r + 4r2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -2.25 + -0.25r + r2 = 0 Move the constant term to the right: Add '2.25' to each side of the equation. -2.25 + -0.25r + 2.25 + r2 = 0 + 2.25 Reorder the terms: -2.25 + 2.25 + -0.25r + r2 = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + -0.25r + r2 = 0 + 2.25 -0.25r + r2 = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 -0.25r + r2 = 2.25 The r term is -0.25r. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25r + 0.015625 + r2 = 2.25 + 0.015625 Reorder the terms: 0.015625 + -0.25r + r2 = 2.25 + 0.015625 Combine like terms: 2.25 + 0.015625 = 2.265625 0.015625 + -0.25r + r2 = 2.265625 Factor a perfect square on the left side: (r + -0.125)(r + -0.125) = 2.265625 Calculate the square root of the right side: 1.505199322 Break this problem into two subproblems by setting (r + -0.125) equal to 1.505199322 and -1.505199322.Subproblem 1
r + -0.125 = 1.505199322 Simplifying r + -0.125 = 1.505199322 Reorder the terms: -0.125 + r = 1.505199322 Solving -0.125 + r = 1.505199322 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + r = 1.505199322 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + r = 1.505199322 + 0.125 r = 1.505199322 + 0.125 Combine like terms: 1.505199322 + 0.125 = 1.630199322 r = 1.630199322 Simplifying r = 1.630199322Subproblem 2
r + -0.125 = -1.505199322 Simplifying r + -0.125 = -1.505199322 Reorder the terms: -0.125 + r = -1.505199322 Solving -0.125 + r = -1.505199322 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + r = -1.505199322 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + r = -1.505199322 + 0.125 r = -1.505199322 + 0.125 Combine like terms: -1.505199322 + 0.125 = -1.380199322 r = -1.380199322 Simplifying r = -1.380199322Solution
The solution to the problem is based on the solutions from the subproblems. r = {1.630199322, -1.380199322}
| (X-y)ydx=x^2dy | | 1/2x-4=20 | | 4r^2-r-201=0 | | 2t+10=3t-6 | | x(-0.02x^2-0.005x+3)=-24910 | | 4r^2-r-1=0 | | 2w^2+3w-3=0 | | 3=8/3y | | w(2w+3)=3 | | 10m^5=85 | | 20-2(2x-7)=3(4x+10) | | 7y(y+7)= | | 4x^2-9=x | | -4x^2-68x-280=0 | | 0.0075x^2-14x+1200=0 | | -5x^2+65x-150=0 | | 12m+9=25m+35 | | 1/x=4/3x-1 | | 6e^10/3e^2 | | -10x^2+90x+360=0 | | 6z^2-11z+3=0 | | x^2+85=0 | | X=99-98 | | 1/2x-8=1 | | 0.01125x^2-13.05x+1800=0 | | 0.0075x^2+2x+1200=0 | | 12.6/7=9/5 | | m/7=9/5 | | X-3=0.5x+2 | | -3(7x-51)-8(3+7x)=-36+78x | | X^3-2x^2-10=0 | | (2x+7)+(-10x-4)=3(-x+12) |