If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 24115.2 = 6.28r2 + 6.28r * 195 Reorder the terms for easier multiplication: 24115.2 = 6.28r2 + 6.28 * 195r Multiply 6.28 * 195 24115.2 = 6.28r2 + 1224.6r Reorder the terms: 24115.2 = 1224.6r + 6.28r2 Solving 24115.2 = 1224.6r + 6.28r2 Solving for variable 'r'. Reorder the terms: 24115.2 + -1224.6r + -6.28r2 = 1224.6r + -1224.6r + 6.28r2 + -6.28r2 Combine like terms: 1224.6r + -1224.6r = 0.0 24115.2 + -1224.6r + -6.28r2 = 0.0 + 6.28r2 + -6.28r2 24115.2 + -1224.6r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 24115.2 + -1224.6r + -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'. -3840 + 195r + r2 = 0 Move the constant term to the right: Add '3840' to each side of the equation. -3840 + 195r + 3840 + r2 = 0 + 3840 Reorder the terms: -3840 + 3840 + 195r + r2 = 0 + 3840 Combine like terms: -3840 + 3840 = 0 0 + 195r + r2 = 0 + 3840 195r + r2 = 0 + 3840 Combine like terms: 0 + 3840 = 3840 195r + r2 = 3840 The r term is 195r. Take half its coefficient (97.5). Square it (9506.25) and add it to both sides. Add '9506.25' to each side of the equation. 195r + 9506.25 + r2 = 3840 + 9506.25 Reorder the terms: 9506.25 + 195r + r2 = 3840 + 9506.25 Combine like terms: 3840 + 9506.25 = 13346.25 9506.25 + 195r + r2 = 13346.25 Factor a perfect square on the left side: (r + 97.5)(r + 97.5) = 13346.25 Calculate the square root of the right side: 115.525971106 Break this problem into two subproblems by setting (r + 97.5) equal to 115.525971106 and -115.525971106.Subproblem 1
r + 97.5 = 115.525971106 Simplifying r + 97.5 = 115.525971106 Reorder the terms: 97.5 + r = 115.525971106 Solving 97.5 + r = 115.525971106 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-97.5' to each side of the equation. 97.5 + -97.5 + r = 115.525971106 + -97.5 Combine like terms: 97.5 + -97.5 = 0.0 0.0 + r = 115.525971106 + -97.5 r = 115.525971106 + -97.5 Combine like terms: 115.525971106 + -97.5 = 18.025971106 r = 18.025971106 Simplifying r = 18.025971106Subproblem 2
r + 97.5 = -115.525971106 Simplifying r + 97.5 = -115.525971106 Reorder the terms: 97.5 + r = -115.525971106 Solving 97.5 + r = -115.525971106 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-97.5' to each side of the equation. 97.5 + -97.5 + r = -115.525971106 + -97.5 Combine like terms: 97.5 + -97.5 = 0.0 0.0 + r = -115.525971106 + -97.5 r = -115.525971106 + -97.5 Combine like terms: -115.525971106 + -97.5 = -213.025971106 r = -213.025971106 Simplifying r = -213.025971106Solution
The solution to the problem is based on the solutions from the subproblems. r = {18.025971106, -213.025971106}
| 15=3x-1 | | 115+150=n | | 14a^4/35a | | 6y+7x+4y-x= | | F(x)=(25-4x)2/3^6 | | 110/70 | | -5x-2.8=-9+.4 | | y=6cosx+8sin(30-x)-2 | | Xdy-ydx=x^3y(xdy+ydx) | | 2a^2-16a+8=0 | | 15x+2x+x-3x= | | 4x^2-36x=3888 | | 5x-2.8=-9x+.4 | | -2+17x+13x+7+85=90 | | 5x-19=2y 3y+18=4x | | x-.60x=44 | | -7+8x=-5 | | 6(40x-16)=21(-27+9x) | | -3+4n=-3 | | 3x+3y-x+6y= | | 10(3c+8)=50 | | -1/2x^2-5/4x=-1/2 | | 2+3(5x-5)=5-3(2x+1) | | 0=2(x+12)(x-9) | | -2+4x=-4 | | 2x-(4-2x)=36 | | 0.3(y+4)=0.4(y-5) | | X^2+12x+24=-3 | | 5(xty)=-2 | | 2(4x-8)=6x-10 | | 9r-4=113 | | -(x-7)-3(4x+1)=5(x+2) |