If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 1138.73 = 6.28r2 + 92.1r Reorder the terms: 1138.73 = 92.1r + 6.28r2 Solving 1138.73 = 92.1r + 6.28r2 Solving for variable 'r'. Reorder the terms: 1138.73 + -92.1r + -6.28r2 = 92.1r + -92.1r + 6.28r2 + -6.28r2 Combine like terms: 92.1r + -92.1r = 0.0 1138.73 + -92.1r + -6.28r2 = 0.0 + 6.28r2 + -6.28r2 1138.73 + -92.1r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 1138.73 + -92.1r + -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'. -181.3264331 + 14.6656051r + r2 = 0 Move the constant term to the right: Add '181.3264331' to each side of the equation. -181.3264331 + 14.6656051r + 181.3264331 + r2 = 0 + 181.3264331 Reorder the terms: -181.3264331 + 181.3264331 + 14.6656051r + r2 = 0 + 181.3264331 Combine like terms: -181.3264331 + 181.3264331 = 0.0000000 0.0000000 + 14.6656051r + r2 = 0 + 181.3264331 14.6656051r + r2 = 0 + 181.3264331 Combine like terms: 0 + 181.3264331 = 181.3264331 14.6656051r + r2 = 181.3264331 The r term is 14.6656051r. Take half its coefficient (7.33280255). Square it (53.76999324) and add it to both sides. Add '53.76999324' to each side of the equation. 14.6656051r + 53.76999324 + r2 = 181.3264331 + 53.76999324 Reorder the terms: 53.76999324 + 14.6656051r + r2 = 181.3264331 + 53.76999324 Combine like terms: 181.3264331 + 53.76999324 = 235.09642634 53.76999324 + 14.6656051r + r2 = 235.09642634 Factor a perfect square on the left side: (r + 7.33280255)(r + 7.33280255) = 235.09642634 Calculate the square root of the right side: 15.332854475 Break this problem into two subproblems by setting (r + 7.33280255) equal to 15.332854475 and -15.332854475.Subproblem 1
r + 7.33280255 = 15.332854475 Simplifying r + 7.33280255 = 15.332854475 Reorder the terms: 7.33280255 + r = 15.332854475 Solving 7.33280255 + r = 15.332854475 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.33280255' to each side of the equation. 7.33280255 + -7.33280255 + r = 15.332854475 + -7.33280255 Combine like terms: 7.33280255 + -7.33280255 = 0.00000000 0.00000000 + r = 15.332854475 + -7.33280255 r = 15.332854475 + -7.33280255 Combine like terms: 15.332854475 + -7.33280255 = 8.000051925 r = 8.000051925 Simplifying r = 8.000051925Subproblem 2
r + 7.33280255 = -15.332854475 Simplifying r + 7.33280255 = -15.332854475 Reorder the terms: 7.33280255 + r = -15.332854475 Solving 7.33280255 + r = -15.332854475 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.33280255' to each side of the equation. 7.33280255 + -7.33280255 + r = -15.332854475 + -7.33280255 Combine like terms: 7.33280255 + -7.33280255 = 0.00000000 0.00000000 + r = -15.332854475 + -7.33280255 r = -15.332854475 + -7.33280255 Combine like terms: -15.332854475 + -7.33280255 = -22.665657025 r = -22.665657025 Simplifying r = -22.665657025Solution
The solution to the problem is based on the solutions from the subproblems. r = {8.000051925, -22.665657025}
| 2x+3y=4z | | 5n^2+17n-52=0 | | 3.5d=6.2 | | 3y-13=-9 | | 3/5x9.5 | | px+qx+r=0 | | 12.5*250/100 | | 3=1(2)+b | | x^2-6x-k^2=0 | | 2x-5/x=11/3 | | 1224000/1/3 | | 7(5x+1)-7x=91 | | 5-y=2y-8y-5 | | 5x+6=2x+8+x | | -252=-5(7n-5)+3 | | 5000=20x-59+300x | | 7x+19y=-1 | | 9=-10(-1)+b | | Kx+12ky=63 | | 4(y-1)=-38 | | -28+8x=4-8(-5+8x) | | c=3h-ah | | 9a+3a-5=6+a | | 2x-8(x+12)=54-18x | | 8c-7=5c+8 | | f(-3)=-4x-5 | | .65728xY=.3890 | | 2(-5x-2)+2x+5=25 | | 4=7(1)+b | | 0=9(0)+b | | 5y^2-28y+40=0 | | 8=2(0)+b |