If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5645.9084 = 6.28r2 + 390.616r Reorder the terms: 5645.9084 = 390.616r + 6.28r2 Solving 5645.9084 = 390.616r + 6.28r2 Solving for variable 'r'. Reorder the terms: 5645.9084 + -390.616r + -6.28r2 = 390.616r + -390.616r + 6.28r2 + -6.28r2 Combine like terms: 390.616r + -390.616r = 0.000 5645.9084 + -390.616r + -6.28r2 = 0.000 + 6.28r2 + -6.28r2 5645.9084 + -390.616r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 5645.9084 + -390.616r + -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'. -899.03 + 62.2r + r2 = 0 Move the constant term to the right: Add '899.03' to each side of the equation. -899.03 + 62.2r + 899.03 + r2 = 0 + 899.03 Reorder the terms: -899.03 + 899.03 + 62.2r + r2 = 0 + 899.03 Combine like terms: -899.03 + 899.03 = 0.00 0.00 + 62.2r + r2 = 0 + 899.03 62.2r + r2 = 0 + 899.03 Combine like terms: 0 + 899.03 = 899.03 62.2r + r2 = 899.03 The r term is 62.2r. Take half its coefficient (31.1). Square it (967.21) and add it to both sides. Add '967.21' to each side of the equation. 62.2r + 967.21 + r2 = 899.03 + 967.21 Reorder the terms: 967.21 + 62.2r + r2 = 899.03 + 967.21 Combine like terms: 899.03 + 967.21 = 1866.24 967.21 + 62.2r + r2 = 1866.24 Factor a perfect square on the left side: (r + 31.1)(r + 31.1) = 1866.24 Calculate the square root of the right side: 43.2 Break this problem into two subproblems by setting (r + 31.1) equal to 43.2 and -43.2.Subproblem 1
r + 31.1 = 43.2 Simplifying r + 31.1 = 43.2 Reorder the terms: 31.1 + r = 43.2 Solving 31.1 + r = 43.2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-31.1' to each side of the equation. 31.1 + -31.1 + r = 43.2 + -31.1 Combine like terms: 31.1 + -31.1 = 0.0 0.0 + r = 43.2 + -31.1 r = 43.2 + -31.1 Combine like terms: 43.2 + -31.1 = 12.1 r = 12.1 Simplifying r = 12.1Subproblem 2
r + 31.1 = -43.2 Simplifying r + 31.1 = -43.2 Reorder the terms: 31.1 + r = -43.2 Solving 31.1 + r = -43.2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-31.1' to each side of the equation. 31.1 + -31.1 + r = -43.2 + -31.1 Combine like terms: 31.1 + -31.1 = 0.0 0.0 + r = -43.2 + -31.1 r = -43.2 + -31.1 Combine like terms: -43.2 + -31.1 = -74.3 r = -74.3 Simplifying r = -74.3Solution
The solution to the problem is based on the solutions from the subproblems. r = {12.1, -74.3}
| 15=-16t^2+34t+5.7 | | Abs(2-5x)+6=23 | | 3x-2(x+10)=x-10 | | 5(x-2)=2-8x | | h=-25t^2+qt+b | | 56x^2-96x=32 | | 130-5m=95 | | ((3a*^(3/2)*y^3)/(a^2*y^(-1/2)))^-2 | | -15-2g+6g=1 | | 2A+2=3q-18 | | 7x=12(6x-(5x+(4x-1)))+5 | | 3+A=B | | 4x-3y+7=36 | | 4(r-2)+2(2+1)=12 | | 8f-3=7f+10 | | 3XA=B | | 6(5b-2)=3(2b+4) | | 3(6z-2)=246 | | 6v+1=4v+29 | | -6=23-2x | | 4-3(x+1)=7-3x | | 2(2j+2)=2(6j-2) | | x^3-6x^2-0x=0 | | 3x+11=-2+1 | | 282=6(4i+3) | | 9.4-x=1.5 | | 9s-2=8s+1 | | 6(2u-5)=3(3u-1) | | 3(m+2)=3m+2 | | 176=4(6s+2) | | X^2+16x-600=0 | | 4g-4=g+26 |