If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 965.3616 = 87.92r2 + 6.28r * 9.9 Reorder the terms for easier multiplication: 965.3616 = 87.92r2 + 6.28 * 9.9r Multiply 6.28 * 9.9 965.3616 = 87.92r2 + 62.172r Reorder the terms: 965.3616 = 62.172r + 87.92r2 Solving 965.3616 = 62.172r + 87.92r2 Solving for variable 'r'. Reorder the terms: 965.3616 + -62.172r + -87.92r2 = 62.172r + -62.172r + 87.92r2 + -87.92r2 Combine like terms: 62.172r + -62.172r = 0.000 965.3616 + -62.172r + -87.92r2 = 0.000 + 87.92r2 + -87.92r2 965.3616 + -62.172r + -87.92r2 = 87.92r2 + -87.92r2 Combine like terms: 87.92r2 + -87.92r2 = 0.00 965.3616 + -62.172r + -87.92r2 = 0.00 Begin completing the square. Divide all terms by -87.92 the coefficient of the squared term: Divide each side by '-87.92'. -10.98 + 0.7071428571r + r2 = 0 Move the constant term to the right: Add '10.98' to each side of the equation. -10.98 + 0.7071428571r + 10.98 + r2 = 0 + 10.98 Reorder the terms: -10.98 + 10.98 + 0.7071428571r + r2 = 0 + 10.98 Combine like terms: -10.98 + 10.98 = 0.00 0.00 + 0.7071428571r + r2 = 0 + 10.98 0.7071428571r + r2 = 0 + 10.98 Combine like terms: 0 + 10.98 = 10.98 0.7071428571r + r2 = 10.98 The r term is 0.7071428571r. Take half its coefficient (0.3535714286). Square it (0.1250127551) and add it to both sides. Add '0.1250127551' to each side of the equation. 0.7071428571r + 0.1250127551 + r2 = 10.98 + 0.1250127551 Reorder the terms: 0.1250127551 + 0.7071428571r + r2 = 10.98 + 0.1250127551 Combine like terms: 10.98 + 0.1250127551 = 11.1050127551 0.1250127551 + 0.7071428571r + r2 = 11.1050127551 Factor a perfect square on the left side: (r + 0.3535714286)(r + 0.3535714286) = 11.1050127551 Calculate the square root of the right side: 3.332418454 Break this problem into two subproblems by setting (r + 0.3535714286) equal to 3.332418454 and -3.332418454.Subproblem 1
r + 0.3535714286 = 3.332418454 Simplifying r + 0.3535714286 = 3.332418454 Reorder the terms: 0.3535714286 + r = 3.332418454 Solving 0.3535714286 + r = 3.332418454 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.3535714286' to each side of the equation. 0.3535714286 + -0.3535714286 + r = 3.332418454 + -0.3535714286 Combine like terms: 0.3535714286 + -0.3535714286 = 0.0000000000 0.0000000000 + r = 3.332418454 + -0.3535714286 r = 3.332418454 + -0.3535714286 Combine like terms: 3.332418454 + -0.3535714286 = 2.9788470254 r = 2.9788470254 Simplifying r = 2.9788470254Subproblem 2
r + 0.3535714286 = -3.332418454 Simplifying r + 0.3535714286 = -3.332418454 Reorder the terms: 0.3535714286 + r = -3.332418454 Solving 0.3535714286 + r = -3.332418454 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.3535714286' to each side of the equation. 0.3535714286 + -0.3535714286 + r = -3.332418454 + -0.3535714286 Combine like terms: 0.3535714286 + -0.3535714286 = 0.0000000000 0.0000000000 + r = -3.332418454 + -0.3535714286 r = -3.332418454 + -0.3535714286 Combine like terms: -3.332418454 + -0.3535714286 = -3.6859898826 r = -3.6859898826 Simplifying r = -3.6859898826Solution
The solution to the problem is based on the solutions from the subproblems. r = {2.9788470254, -3.6859898826}
| 2-2u=-2u+2 | | -2x+-1+x= | | 8(j-4)=2(4j-3) | | 0=5b-5b | | 5(5a+2)-4a=0 | | 6x-10=5x-11 | | -2p=-p+6 | | 8(j-4)=3(4j-16) | | 5t-45= | | 0=6s-6s | | 965.3616=6.28*14*r^2+6.28*r*9.9 | | 4x^4+12x=0 | | 0=10d-10d | | 7s+11= | | 2x-5=-6m-29 | | 2+10x+18=x+4 | | -6y+23=4-7 | | 40m^2+20m=0 | | -5t=15-6t | | 3(x-4)=-5(x-4) | | 20+16y+20=-20+12y | | X+4*4=2x-6*3 | | -19w+14=-4w-16 | | 6x+13=-47-9 | | -6v-8=-8v+10 | | 1000.00+5000.00d=1200.00 | | 8-z=-5z+2+5z | | 1000.00+5000.00d=1200 | | -7m+1=-3m+9 | | 0=3x^2+12x+4 | | -2q=2-3q | | 3d-6=4d |