If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (5r + 6) * 5r + -6 = 0 Reorder the terms: (6 + 5r) * 5r + -6 = 0 Reorder the terms for easier multiplication: 5r(6 + 5r) + -6 = 0 (6 * 5r + 5r * 5r) + -6 = 0 (30r + 25r2) + -6 = 0 Reorder the terms: -6 + 30r + 25r2 = 0 Solving -6 + 30r + 25r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. -0.24 + 1.2r + r2 = 0 Move the constant term to the right: Add '0.24' to each side of the equation. -0.24 + 1.2r + 0.24 + r2 = 0 + 0.24 Reorder the terms: -0.24 + 0.24 + 1.2r + r2 = 0 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 1.2r + r2 = 0 + 0.24 1.2r + r2 = 0 + 0.24 Combine like terms: 0 + 0.24 = 0.24 1.2r + r2 = 0.24 The r term is 1.2r. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2r + 0.36 + r2 = 0.24 + 0.36 Reorder the terms: 0.36 + 1.2r + r2 = 0.24 + 0.36 Combine like terms: 0.24 + 0.36 = 0.6 0.36 + 1.2r + r2 = 0.6 Factor a perfect square on the left side: (r + 0.6)(r + 0.6) = 0.6 Calculate the square root of the right side: 0.774596669 Break this problem into two subproblems by setting (r + 0.6) equal to 0.774596669 and -0.774596669.Subproblem 1
r + 0.6 = 0.774596669 Simplifying r + 0.6 = 0.774596669 Reorder the terms: 0.6 + r = 0.774596669 Solving 0.6 + r = 0.774596669 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + r = 0.774596669 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + r = 0.774596669 + -0.6 r = 0.774596669 + -0.6 Combine like terms: 0.774596669 + -0.6 = 0.174596669 r = 0.174596669 Simplifying r = 0.174596669Subproblem 2
r + 0.6 = -0.774596669 Simplifying r + 0.6 = -0.774596669 Reorder the terms: 0.6 + r = -0.774596669 Solving 0.6 + r = -0.774596669 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + r = -0.774596669 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + r = -0.774596669 + -0.6 r = -0.774596669 + -0.6 Combine like terms: -0.774596669 + -0.6 = -1.374596669 r = -1.374596669 Simplifying r = -1.374596669Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.174596669, -1.374596669}
| -3x^2-14x+2=2x-7z^2+11 | | 7x^2-41x-56=0 | | 1x+18=-5-11 | | 15x-3x=108 | | (x+9)+3x=25 | | 3c^2-11c+10=0 | | 3(t-2)=9(t+2) | | x+22+78=180 | | -9d-24=-3(d+8-6d) | | (5a-2)(6a-4)= | | 10n-6(10+n)-3= | | 2x-17=80-5x | | 15z-4(2+z)-2z= | | m-2=2m | | 6x-2-9x=1 | | 3x+4=-(X-20) | | 5x+31-81=(2x-5)(2x-5) | | 177-2x=34x+21 | | 4=t+6 | | 5+4(s-3t)= | | -4-(-4)= | | 1-3= | | 625=3m^2 | | 2x+12=-15-7x | | 0-5= | | 15z+4(-2+z)-2z= | | 1+12=45+x | | x^6=215 | | 5x+105=(3x+13)(3x+13) | | 156-6x=5x+24 | | x^6-34=181 | | x-36=-46 |