If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 6.28r2 + 101.736r + -633.024 Reorder the terms: 0 = -633.024 + 101.736r + 6.28r2 Solving 0 = -633.024 + 101.736r + 6.28r2 Solving for variable 'r'. Combine like terms: 0 + 633.024 = 633.024 633.024 + -101.736r + -6.28r2 = -633.024 + 101.736r + 6.28r2 + 633.024 + -101.736r + -6.28r2 Reorder the terms: 633.024 + -101.736r + -6.28r2 = -633.024 + 633.024 + 101.736r + -101.736r + 6.28r2 + -6.28r2 Combine like terms: -633.024 + 633.024 = 0.000 633.024 + -101.736r + -6.28r2 = 0.000 + 101.736r + -101.736r + 6.28r2 + -6.28r2 633.024 + -101.736r + -6.28r2 = 101.736r + -101.736r + 6.28r2 + -6.28r2 Combine like terms: 101.736r + -101.736r = 0.000 633.024 + -101.736r + -6.28r2 = 0.000 + 6.28r2 + -6.28r2 633.024 + -101.736r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 633.024 + -101.736r + -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'. -100.8 + 16.2r + r2 = 0 Move the constant term to the right: Add '100.8' to each side of the equation. -100.8 + 16.2r + 100.8 + r2 = 0 + 100.8 Reorder the terms: -100.8 + 100.8 + 16.2r + r2 = 0 + 100.8 Combine like terms: -100.8 + 100.8 = 0.0 0.0 + 16.2r + r2 = 0 + 100.8 16.2r + r2 = 0 + 100.8 Combine like terms: 0 + 100.8 = 100.8 16.2r + r2 = 100.8 The r term is 16.2r. Take half its coefficient (8.1). Square it (65.61) and add it to both sides. Add '65.61' to each side of the equation. 16.2r + 65.61 + r2 = 100.8 + 65.61 Reorder the terms: 65.61 + 16.2r + r2 = 100.8 + 65.61 Combine like terms: 100.8 + 65.61 = 166.41 65.61 + 16.2r + r2 = 166.41 Factor a perfect square on the left side: (r + 8.1)(r + 8.1) = 166.41 Calculate the square root of the right side: 12.9 Break this problem into two subproblems by setting (r + 8.1) equal to 12.9 and -12.9.Subproblem 1
r + 8.1 = 12.9 Simplifying r + 8.1 = 12.9 Reorder the terms: 8.1 + r = 12.9 Solving 8.1 + r = 12.9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8.1' to each side of the equation. 8.1 + -8.1 + r = 12.9 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + r = 12.9 + -8.1 r = 12.9 + -8.1 Combine like terms: 12.9 + -8.1 = 4.8 r = 4.8 Simplifying r = 4.8Subproblem 2
r + 8.1 = -12.9 Simplifying r + 8.1 = -12.9 Reorder the terms: 8.1 + r = -12.9 Solving 8.1 + r = -12.9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8.1' to each side of the equation. 8.1 + -8.1 + r = -12.9 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + r = -12.9 + -8.1 r = -12.9 + -8.1 Combine like terms: -12.9 + -8.1 = -21 r = -21 Simplifying r = -21Solution
The solution to the problem is based on the solutions from the subproblems. r = {4.8, -21}
| -32-4x=-5-51+5x | | x*x*X*x+17x+16=0 | | 2y+14=46 | | 6x^2-12x-38=10 | | 3x=1x+300 | | -x+6=25 | | 3x-4=3(x-1)+6 | | 15=-7u+5(u+7) | | 10(2+5y)=270 | | g-g+g-1=13 | | 2x-16y=-18 | | 3x-6=50-5x | | x^2+6x+y^2-8y=0 | | g(5a-2)+3g(2a)ifg(x)=x^2-5x+3 | | 2x-7=18-3x | | f(x)=300(1.16)x | | 11h-4h-6h+2h=9 | | -6x-7=-9x+17 | | 0.66x-1=0.75 | | -10n-n+-20=13 | | 0.7x+20=0.4 | | (4x-2)+(11x+17)= | | 2x-5(x+1)=7 | | X^2+12x+3=7 | | -21+9y=-19 | | 4x-7=65-4x | | 4x-5+2(3x)+17=-2+2x+(16-5) | | 2x(3x-1)=6x-4 | | 3t+0u=30 | | 10y^2-7=74 | | 3t+0u= | | 3x+106+32=180 |