If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = r2 + 14.2r + -760.5 Reorder the terms: 0 = -760.5 + 14.2r + r2 Solving 0 = -760.5 + 14.2r + r2 Solving for variable 'r'. Combine like terms: 0 + 760.5 = 760.5 760.5 + -14.2r + -1r2 = -760.5 + 14.2r + r2 + 760.5 + -14.2r + -1r2 Reorder the terms: 760.5 + -14.2r + -1r2 = -760.5 + 760.5 + 14.2r + -14.2r + r2 + -1r2 Combine like terms: -760.5 + 760.5 = 0.0 760.5 + -14.2r + -1r2 = 0.0 + 14.2r + -14.2r + r2 + -1r2 760.5 + -14.2r + -1r2 = 14.2r + -14.2r + r2 + -1r2 Combine like terms: 14.2r + -14.2r = 0.0 760.5 + -14.2r + -1r2 = 0.0 + r2 + -1r2 760.5 + -14.2r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 760.5 + -14.2r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -760.5 + 14.2r + r2 = 0 Move the constant term to the right: Add '760.5' to each side of the equation. -760.5 + 14.2r + 760.5 + r2 = 0 + 760.5 Reorder the terms: -760.5 + 760.5 + 14.2r + r2 = 0 + 760.5 Combine like terms: -760.5 + 760.5 = 0.0 0.0 + 14.2r + r2 = 0 + 760.5 14.2r + r2 = 0 + 760.5 Combine like terms: 0 + 760.5 = 760.5 14.2r + r2 = 760.5 The r term is 14.2r. Take half its coefficient (7.1). Square it (50.41) and add it to both sides. Add '50.41' to each side of the equation. 14.2r + 50.41 + r2 = 760.5 + 50.41 Reorder the terms: 50.41 + 14.2r + r2 = 760.5 + 50.41 Combine like terms: 760.5 + 50.41 = 810.91 50.41 + 14.2r + r2 = 810.91 Factor a perfect square on the left side: (r + 7.1)(r + 7.1) = 810.91 Calculate the square root of the right side: 28.476481524 Break this problem into two subproblems by setting (r + 7.1) equal to 28.476481524 and -28.476481524.Subproblem 1
r + 7.1 = 28.476481524 Simplifying r + 7.1 = 28.476481524 Reorder the terms: 7.1 + r = 28.476481524 Solving 7.1 + r = 28.476481524 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.1' to each side of the equation. 7.1 + -7.1 + r = 28.476481524 + -7.1 Combine like terms: 7.1 + -7.1 = 0.0 0.0 + r = 28.476481524 + -7.1 r = 28.476481524 + -7.1 Combine like terms: 28.476481524 + -7.1 = 21.376481524 r = 21.376481524 Simplifying r = 21.376481524Subproblem 2
r + 7.1 = -28.476481524 Simplifying r + 7.1 = -28.476481524 Reorder the terms: 7.1 + r = -28.476481524 Solving 7.1 + r = -28.476481524 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.1' to each side of the equation. 7.1 + -7.1 + r = -28.476481524 + -7.1 Combine like terms: 7.1 + -7.1 = 0.0 0.0 + r = -28.476481524 + -7.1 r = -28.476481524 + -7.1 Combine like terms: -28.476481524 + -7.1 = -35.576481524 r = -35.576481524 Simplifying r = -35.576481524Solution
The solution to the problem is based on the solutions from the subproblems. r = {21.376481524, -35.576481524}
| 0=r^2+5r-113.1 | | 0=r^2+6r-50.25 | | x+8=-2x-7 | | 1-2(x-4)+7=-4 | | 0=r^2+10r-301.6 | | 12u-241=227 | | x^2+16x-16=0 | | r=a^2b^2 | | 3/4e^3x-8=6 | | r=a^2+2(ab)+b^2 | | 1+(1/2)*3+(6/b*a) | | -26-4x=14-18x | | =1+(1*2) | | x^2-15x+36x=0 | | 3+5=23+x | | K-36/8=6 | | 4x(2+5)2-52= | | n+-3=-7 | | 56=-4+10x | | 9+5x=2x+27 | | 2x^2+3ax=0 | | 54+15g=-90+39g | | 2+11+8r=29 | | 3(-6+3y/2)+3y=21 | | -23+17y=237-9y | | 6x+54=7x+24 | | 48d-13=-64+51d | | 22+45w=229+22w | | 84-3x=10+19 | | 3-2=-7 | | 59A-21=-51+44A | | 7x-9=2x-4 |