If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16616.88 = 2(3.14r2) + 2 * 3.14r * 105 Remove parenthesis around (3.14r2) 16616.88 = 2 * 3.14r2 + 2 * 3.14r * 105 Multiply 2 * 3.14 16616.88 = 6.28r2 + 2 * 3.14r * 105 Reorder the terms for easier multiplication: 16616.88 = 6.28r2 + 2 * 3.14 * 105r Multiply 2 * 3.14 16616.88 = 6.28r2 + 6.28 * 105r Multiply 6.28 * 105 16616.88 = 6.28r2 + 659.4r Reorder the terms: 16616.88 = 659.4r + 6.28r2 Solving 16616.88 = 659.4r + 6.28r2 Solving for variable 'r'. Reorder the terms: 16616.88 + -659.4r + -6.28r2 = 659.4r + -659.4r + 6.28r2 + -6.28r2 Combine like terms: 659.4r + -659.4r = 0.0 16616.88 + -659.4r + -6.28r2 = 0.0 + 6.28r2 + -6.28r2 16616.88 + -659.4r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 16616.88 + -659.4r + -6.28r2 = 0.00 Begin completing the square. Divide all terms by -6.28 the coefficient of the squared term: Divide each side by '-6.28'. -2646 + 105r + r2 = 0 Move the constant term to the right: Add '2646' to each side of the equation. -2646 + 105r + 2646 + r2 = 0 + 2646 Reorder the terms: -2646 + 2646 + 105r + r2 = 0 + 2646 Combine like terms: -2646 + 2646 = 0 0 + 105r + r2 = 0 + 2646 105r + r2 = 0 + 2646 Combine like terms: 0 + 2646 = 2646 105r + r2 = 2646 The r term is 105r. Take half its coefficient (52.5). Square it (2756.25) and add it to both sides. Add '2756.25' to each side of the equation. 105r + 2756.25 + r2 = 2646 + 2756.25 Reorder the terms: 2756.25 + 105r + r2 = 2646 + 2756.25 Combine like terms: 2646 + 2756.25 = 5402.25 2756.25 + 105r + r2 = 5402.25 Factor a perfect square on the left side: (r + 52.5)(r + 52.5) = 5402.25 Calculate the square root of the right side: 73.5 Break this problem into two subproblems by setting (r + 52.5) equal to 73.5 and -73.5.Subproblem 1
r + 52.5 = 73.5 Simplifying r + 52.5 = 73.5 Reorder the terms: 52.5 + r = 73.5 Solving 52.5 + r = 73.5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-52.5' to each side of the equation. 52.5 + -52.5 + r = 73.5 + -52.5 Combine like terms: 52.5 + -52.5 = 0.0 0.0 + r = 73.5 + -52.5 r = 73.5 + -52.5 Combine like terms: 73.5 + -52.5 = 21 r = 21 Simplifying r = 21Subproblem 2
r + 52.5 = -73.5 Simplifying r + 52.5 = -73.5 Reorder the terms: 52.5 + r = -73.5 Solving 52.5 + r = -73.5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-52.5' to each side of the equation. 52.5 + -52.5 + r = -73.5 + -52.5 Combine like terms: 52.5 + -52.5 = 0.0 0.0 + r = -73.5 + -52.5 r = -73.5 + -52.5 Combine like terms: -73.5 + -52.5 = -126 r = -126 Simplifying r = -126Solution
The solution to the problem is based on the solutions from the subproblems. r = {21, -126}
| log(x)=21 | | ln(x)=21 | | -4(u+3)=9u-38 | | 12(x-7)=120 | | 2x-12=10x+8 | | lnx+ln(x+2)=7 | | 3=-4x+2 | | X+x+1+x+3=147 | | 3u-1=-8(u+7) | | P^2+5p+14=0 | | -2(u+5)=-9u+46 | | -2y(y-1)= | | 4w+34=-2(w-5) | | (2x+1)-1=3-(1-2x) | | 2x-1+4-8=5x-9 | | 285.9912=2(3.14r^2)+2*3.14*r*5.3 | | f(-1x)=2x^2+2x+3 | | 2(x+3)(x-4)=(2x-1)(x+2)-27 | | 40-y=25 | | 12(7+q)=24 | | 9+2(2u-8)=2(8u-1)+5u | | 7(w-8)=84 | | 4+51+36=0 | | sin(2x+40)=cos(2x) | | 4(x-1/2)=18 | | (3y+y)(y-2)=0 | | 320/60 | | x+21=15.625x | | x+(x+3)+2x+(x+x+3)=30 | | 3p+4=6p+19 | | (-2x-3)-(2x+4)=(3x-1)-(2x-3) | | 7x+3=3x-12 |