If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 189.028 = 6.28r2 + 6.28r * 2.7 Reorder the terms for easier multiplication: 189.028 = 6.28r2 + 6.28 * 2.7r Multiply 6.28 * 2.7 189.028 = 6.28r2 + 16.956r Reorder the terms: 189.028 = 16.956r + 6.28r2 Solving 189.028 = 16.956r + 6.28r2 Solving for variable 'r'. Reorder the terms: 189.028 + -16.956r + -6.28r2 = 16.956r + -16.956r + 6.28r2 + -6.28r2 Combine like terms: 16.956r + -16.956r = 0.000 189.028 + -16.956r + -6.28r2 = 0.000 + 6.28r2 + -6.28r2 189.028 + -16.956r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 189.028 + -16.956r + -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'. -30.1 + 2.7r + r2 = 0 Move the constant term to the right: Add '30.1' to each side of the equation. -30.1 + 2.7r + 30.1 + r2 = 0 + 30.1 Reorder the terms: -30.1 + 30.1 + 2.7r + r2 = 0 + 30.1 Combine like terms: -30.1 + 30.1 = 0.0 0.0 + 2.7r + r2 = 0 + 30.1 2.7r + r2 = 0 + 30.1 Combine like terms: 0 + 30.1 = 30.1 2.7r + r2 = 30.1 The r term is 2.7r. Take half its coefficient (1.35). Square it (1.8225) and add it to both sides. Add '1.8225' to each side of the equation. 2.7r + 1.8225 + r2 = 30.1 + 1.8225 Reorder the terms: 1.8225 + 2.7r + r2 = 30.1 + 1.8225 Combine like terms: 30.1 + 1.8225 = 31.9225 1.8225 + 2.7r + r2 = 31.9225 Factor a perfect square on the left side: (r + 1.35)(r + 1.35) = 31.9225 Calculate the square root of the right side: 5.65 Break this problem into two subproblems by setting (r + 1.35) equal to 5.65 and -5.65.Subproblem 1
r + 1.35 = 5.65 Simplifying r + 1.35 = 5.65 Reorder the terms: 1.35 + r = 5.65 Solving 1.35 + r = 5.65 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.35' to each side of the equation. 1.35 + -1.35 + r = 5.65 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + r = 5.65 + -1.35 r = 5.65 + -1.35 Combine like terms: 5.65 + -1.35 = 4.3 r = 4.3 Simplifying r = 4.3Subproblem 2
r + 1.35 = -5.65 Simplifying r + 1.35 = -5.65 Reorder the terms: 1.35 + r = -5.65 Solving 1.35 + r = -5.65 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.35' to each side of the equation. 1.35 + -1.35 + r = -5.65 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + r = -5.65 + -1.35 r = -5.65 + -1.35 Combine like terms: -5.65 + -1.35 = -7 r = -7 Simplifying r = -7Solution
The solution to the problem is based on the solutions from the subproblems. r = {4.3, -7}
| 3/5n=3/7 | | 1000a^3b^6+27= | | (-4,6);m=3/4 | | X/m=11 | | -8+n+8n=-9+1+7n+2n | | 5x(x+2)=90 | | v+12=19 | | 11x-(9x-7)=9 | | 5+t=12 | | 140-85= | | 6+18z-5=9z+25-3z | | 216x^3y^3+125= | | -7b-3=-3-7b | | f(x)=cos(6x)sin(4x) | | 2=j+8 | | -5.1x+4.1=-6.7x-1.8 | | 3x+5x+50= | | 4n-20=30 | | 7-4s=1s+13 | | 3+5a=28 | | -3-7x=-x-27 | | 5-14a=9a-5 | | 3(2x+4)+8x+4=100 | | -4*3.5+9= | | (-3/5)7 | | -7x+1=51-2x | | Y=7.50-4x | | N+5+2n=7+3n | | -3/5x7 | | -4y+12=-8y-12 | | 2m^3+3m^2-3m-2=0 | | (7-8i)(7-8i)= |