If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 355.134 = 6.28R2 + 66.568R Reorder the terms: 355.134 = 66.568R + 6.28R2 Solving 355.134 = 66.568R + 6.28R2 Solving for variable 'R'. Reorder the terms: 355.134 + -66.568R + -6.28R2 = 66.568R + -66.568R + 6.28R2 + -6.28R2 Combine like terms: 66.568R + -66.568R = 0.000 355.134 + -66.568R + -6.28R2 = 0.000 + 6.28R2 + -6.28R2 355.134 + -66.568R + -6.28R2 = 6.28R2 + -6.28R2 Combine like terms: 6.28R2 + -6.28R2 = 0.00 355.134 + -66.568R + -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'. -56.55 + 10.6R + R2 = 0 Move the constant term to the right: Add '56.55' to each side of the equation. -56.55 + 10.6R + 56.55 + R2 = 0 + 56.55 Reorder the terms: -56.55 + 56.55 + 10.6R + R2 = 0 + 56.55 Combine like terms: -56.55 + 56.55 = 0.00 0.00 + 10.6R + R2 = 0 + 56.55 10.6R + R2 = 0 + 56.55 Combine like terms: 0 + 56.55 = 56.55 10.6R + R2 = 56.55 The R term is 10.6R. Take half its coefficient (5.3). Square it (28.09) and add it to both sides. Add '28.09' to each side of the equation. 10.6R + 28.09 + R2 = 56.55 + 28.09 Reorder the terms: 28.09 + 10.6R + R2 = 56.55 + 28.09 Combine like terms: 56.55 + 28.09 = 84.64 28.09 + 10.6R + R2 = 84.64 Factor a perfect square on the left side: (R + 5.3)(R + 5.3) = 84.64 Calculate the square root of the right side: 9.2 Break this problem into two subproblems by setting (R + 5.3) equal to 9.2 and -9.2.Subproblem 1
R + 5.3 = 9.2 Simplifying R + 5.3 = 9.2 Reorder the terms: 5.3 + R = 9.2 Solving 5.3 + R = 9.2 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-5.3' to each side of the equation. 5.3 + -5.3 + R = 9.2 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + R = 9.2 + -5.3 R = 9.2 + -5.3 Combine like terms: 9.2 + -5.3 = 3.9 R = 3.9 Simplifying R = 3.9Subproblem 2
R + 5.3 = -9.2 Simplifying R + 5.3 = -9.2 Reorder the terms: 5.3 + R = -9.2 Solving 5.3 + R = -9.2 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-5.3' to each side of the equation. 5.3 + -5.3 + R = -9.2 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + R = -9.2 + -5.3 R = -9.2 + -5.3 Combine like terms: -9.2 + -5.3 = -14.5 R = -14.5 Simplifying R = -14.5Solution
The solution to the problem is based on the solutions from the subproblems. R = {3.9, -14.5}
| x^2-12x-2= | | -3(x-4)=4x-3-7 | | x^2+2x-91= | | 6(11+x)=11(5+x) | | -3x-12x=4x-3-7 | | x^2-16x+4= | | 1.2*5.3= | | x^2+4x-53=0 | | 20-9y=4(15-y) | | t/3-6=9 | | x^2+14x+44= | | 94.9536=20.347+11.304H | | 4x+6x=60 | | 0=6.28r^2+401.92r-285.9912 | | 6r^2+14r+4=0 | | k^2-12k-33=8 | | 1841.6728=464.4688+54.008H | | 3n^2+10n=125 | | 6x-4x+3=5 | | 18t^3-24t^2+8t= | | 8m-19=27 | | 4q-3p-180=0 | | 3234.1372=6.28r^2+629.256r | | 441/3 | | e-52=2e-9 | | Log(x+2)=4 | | -8a-9=a-423 | | 9y^2+4=15y | | 2676.222=127.17+28.26H | | 5b-4=12-3b | | 15x-10=5x+20 | | -4b+7=b+232 |