If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 756.74 = 2 * 3.14r2 + 2 * 3.14r * 19.1 Multiply 2 * 3.14 756.74 = 6.28r2 + 2 * 3.14r * 19.1 Reorder the terms for easier multiplication: 756.74 = 6.28r2 + 2 * 3.14 * 19.1r Multiply 2 * 3.14 756.74 = 6.28r2 + 6.28 * 19.1r Multiply 6.28 * 19.1 756.74 = 6.28r2 + 119.948r Reorder the terms: 756.74 = 119.948r + 6.28r2 Solving 756.74 = 119.948r + 6.28r2 Solving for variable 'r'. Reorder the terms: 756.74 + -119.948r + -6.28r2 = 119.948r + -119.948r + 6.28r2 + -6.28r2 Combine like terms: 119.948r + -119.948r = 0.000 756.74 + -119.948r + -6.28r2 = 0.000 + 6.28r2 + -6.28r2 756.74 + -119.948r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 756.74 + -119.948r + -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'. -120.5 + 19.1r + r2 = 0 Move the constant term to the right: Add '120.5' to each side of the equation. -120.5 + 19.1r + 120.5 + r2 = 0 + 120.5 Reorder the terms: -120.5 + 120.5 + 19.1r + r2 = 0 + 120.5 Combine like terms: -120.5 + 120.5 = 0.0 0.0 + 19.1r + r2 = 0 + 120.5 19.1r + r2 = 0 + 120.5 Combine like terms: 0 + 120.5 = 120.5 19.1r + r2 = 120.5 The r term is 19.1r. Take half its coefficient (9.55). Square it (91.2025) and add it to both sides. Add '91.2025' to each side of the equation. 19.1r + 91.2025 + r2 = 120.5 + 91.2025 Reorder the terms: 91.2025 + 19.1r + r2 = 120.5 + 91.2025 Combine like terms: 120.5 + 91.2025 = 211.7025 91.2025 + 19.1r + r2 = 211.7025 Factor a perfect square on the left side: (r + 9.55)(r + 9.55) = 211.7025 Calculate the square root of the right side: 14.55 Break this problem into two subproblems by setting (r + 9.55) equal to 14.55 and -14.55.Subproblem 1
r + 9.55 = 14.55 Simplifying r + 9.55 = 14.55 Reorder the terms: 9.55 + r = 14.55 Solving 9.55 + r = 14.55 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9.55' to each side of the equation. 9.55 + -9.55 + r = 14.55 + -9.55 Combine like terms: 9.55 + -9.55 = 0.00 0.00 + r = 14.55 + -9.55 r = 14.55 + -9.55 Combine like terms: 14.55 + -9.55 = 5 r = 5 Simplifying r = 5Subproblem 2
r + 9.55 = -14.55 Simplifying r + 9.55 = -14.55 Reorder the terms: 9.55 + r = -14.55 Solving 9.55 + r = -14.55 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9.55' to each side of the equation. 9.55 + -9.55 + r = -14.55 + -9.55 Combine like terms: 9.55 + -9.55 = 0.00 0.00 + r = -14.55 + -9.55 r = -14.55 + -9.55 Combine like terms: -14.55 + -9.55 = -24.1 r = -24.1 Simplifying r = -24.1Solution
The solution to the problem is based on the solutions from the subproblems. r = {5, -24.1}
| 2x+5-5x=-3x+2 | | 6b-8b=-3 | | 3(2x-8)-4=3(x-2)-7 | | 152=73.502+3.876 | | 41+x=2-2x | | 5x-92=97-2x | | x+x+1.81=68.11 | | Z+15=13 | | 5x-64=3x | | n*4-5=3 | | 3x=36-15x | | x+2(y-5)=2y+2 | | -4(3x+4)-2x+2=-2 | | 4(a+3)=18-2(3-2)a | | 3w+2=2-10 | | 7x-6=3x-54 | | 5(n+1)+2=3(n+1)+n | | 2x-20=10-3x | | 9x+4-7x=9x+4 | | 7(8x-1)=-7+6x | | 1133.9168=2*3.14*r^2+2*3.14*r*23.5 | | 9x+7y=35 | | -3(2x+9)=-4x | | 21x+6=17x-29 | | -3(5-2x)=4x+1 | | 4(x-6)=2(2x-12) | | 2x+3(7x-5)=192 | | x+23=35 | | 1b-73=-1b-3 | | 1+n=2n+9 | | 15b+2=-28 | | 5(2x+5)+3x=-74 |