If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3r(r + 4) + 5(2r + 6) = 0 Reorder the terms: 3r(4 + r) + 5(2r + 6) = 0 (4 * 3r + r * 3r) + 5(2r + 6) = 0 (12r + 3r2) + 5(2r + 6) = 0 Reorder the terms: 12r + 3r2 + 5(6 + 2r) = 0 12r + 3r2 + (6 * 5 + 2r * 5) = 0 12r + 3r2 + (30 + 10r) = 0 Reorder the terms: 30 + 12r + 10r + 3r2 = 0 Combine like terms: 12r + 10r = 22r 30 + 22r + 3r2 = 0 Solving 30 + 22r + 3r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10 + 7.333333333r + r2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 7.333333333r + -10 + r2 = 0 + -10 Reorder the terms: 10 + -10 + 7.333333333r + r2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7.333333333r + r2 = 0 + -10 7.333333333r + r2 = 0 + -10 Combine like terms: 0 + -10 = -10 7.333333333r + r2 = -10 The r term is 7.333333333r. Take half its coefficient (3.666666667). Square it (13.44444445) and add it to both sides. Add '13.44444445' to each side of the equation. 7.333333333r + 13.44444445 + r2 = -10 + 13.44444445 Reorder the terms: 13.44444445 + 7.333333333r + r2 = -10 + 13.44444445 Combine like terms: -10 + 13.44444445 = 3.44444445 13.44444445 + 7.333333333r + r2 = 3.44444445 Factor a perfect square on the left side: (r + 3.666666667)(r + 3.666666667) = 3.44444445 Calculate the square root of the right side: 1.855921456 Break this problem into two subproblems by setting (r + 3.666666667) equal to 1.855921456 and -1.855921456.Subproblem 1
r + 3.666666667 = 1.855921456 Simplifying r + 3.666666667 = 1.855921456 Reorder the terms: 3.666666667 + r = 1.855921456 Solving 3.666666667 + r = 1.855921456 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.666666667' to each side of the equation. 3.666666667 + -3.666666667 + r = 1.855921456 + -3.666666667 Combine like terms: 3.666666667 + -3.666666667 = 0.000000000 0.000000000 + r = 1.855921456 + -3.666666667 r = 1.855921456 + -3.666666667 Combine like terms: 1.855921456 + -3.666666667 = -1.810745211 r = -1.810745211 Simplifying r = -1.810745211Subproblem 2
r + 3.666666667 = -1.855921456 Simplifying r + 3.666666667 = -1.855921456 Reorder the terms: 3.666666667 + r = -1.855921456 Solving 3.666666667 + r = -1.855921456 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.666666667' to each side of the equation. 3.666666667 + -3.666666667 + r = -1.855921456 + -3.666666667 Combine like terms: 3.666666667 + -3.666666667 = 0.000000000 0.000000000 + r = -1.855921456 + -3.666666667 r = -1.855921456 + -3.666666667 Combine like terms: -1.855921456 + -3.666666667 = -5.522588123 r = -5.522588123 Simplifying r = -5.522588123Solution
The solution to the problem is based on the solutions from the subproblems. r = {-1.810745211, -5.522588123}
| 134-29= | | -x^2+70x-600=0 | | 6(x-4)+7=-15 | | 3x+1=-4x-83 | | 2+56789=56 | | 3r(r+4)+5(r+6)= | | k^2-4k+3=0 | | -100=12+9 | | -10-18(19+11r)= | | (16/2)^2 | | 6+v/-8=4/4 | | n^2=-5n+24 | | 29+x=8 | | -6m=4(m-12) | | (16/2^2)+8*2^3-(1/2)(3^2*4-25)^2 | | m^2=-m | | 2x^2+18x=-2 | | -2f+18-4d=60 | | v^2-12v=-35 | | 729*(1/3)^9 | | L=(P-2W)/2 | | L=2(W-2P) | | x^2=-2x+15 | | 16/2^2+8x2^3-1/2(3^2*4-25)^2 | | x+y+6z=-30 | | L=2/(P-W) | | a^2-6=a | | 6/5(x-4)=5/2(x-6)+5 | | 2.7a=8.37 | | 10b-5b^2/b^2+3b-10 | | 2.7a=8.73 | | 11(-12z+16)= |