If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12r2 + 5r + -12 = 0 Reorder the terms: -12 + 5r + 12r2 = 0 Solving -12 + 5r + 12r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -1 + 0.4166666667r + r2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 0.4166666667r + 1 + r2 = 0 + 1 Reorder the terms: -1 + 1 + 0.4166666667r + r2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 0.4166666667r + r2 = 0 + 1 0.4166666667r + r2 = 0 + 1 Combine like terms: 0 + 1 = 1 0.4166666667r + r2 = 1 The r term is 0.4166666667r. Take half its coefficient (0.2083333334). Square it (0.04340277781) and add it to both sides. Add '0.04340277781' to each side of the equation. 0.4166666667r + 0.04340277781 + r2 = 1 + 0.04340277781 Reorder the terms: 0.04340277781 + 0.4166666667r + r2 = 1 + 0.04340277781 Combine like terms: 1 + 0.04340277781 = 1.04340277781 0.04340277781 + 0.4166666667r + r2 = 1.04340277781 Factor a perfect square on the left side: (r + 0.2083333334)(r + 0.2083333334) = 1.04340277781 Calculate the square root of the right side: 1.021470889 Break this problem into two subproblems by setting (r + 0.2083333334) equal to 1.021470889 and -1.021470889.Subproblem 1
r + 0.2083333334 = 1.021470889 Simplifying r + 0.2083333334 = 1.021470889 Reorder the terms: 0.2083333334 + r = 1.021470889 Solving 0.2083333334 + r = 1.021470889 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.2083333334' to each side of the equation. 0.2083333334 + -0.2083333334 + r = 1.021470889 + -0.2083333334 Combine like terms: 0.2083333334 + -0.2083333334 = 0.0000000000 0.0000000000 + r = 1.021470889 + -0.2083333334 r = 1.021470889 + -0.2083333334 Combine like terms: 1.021470889 + -0.2083333334 = 0.8131375556 r = 0.8131375556 Simplifying r = 0.8131375556Subproblem 2
r + 0.2083333334 = -1.021470889 Simplifying r + 0.2083333334 = -1.021470889 Reorder the terms: 0.2083333334 + r = -1.021470889 Solving 0.2083333334 + r = -1.021470889 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.2083333334' to each side of the equation. 0.2083333334 + -0.2083333334 + r = -1.021470889 + -0.2083333334 Combine like terms: 0.2083333334 + -0.2083333334 = 0.0000000000 0.0000000000 + r = -1.021470889 + -0.2083333334 r = -1.021470889 + -0.2083333334 Combine like terms: -1.021470889 + -0.2083333334 = -1.2298042224 r = -1.2298042224 Simplifying r = -1.2298042224Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.8131375556, -1.2298042224}
| 12r^2+5r-12r=0 | | 3A+2=2-10 | | log(x)+log(x-9)=1 | | 2-8x=-2x-7(x-1) | | 23+4X=4(X+5) | | 2y=1-x-y | | 14+7n=14n+2 | | g^1x=216 | | 5a+ax-2b+by=0 | | 4x+(2x+18)=306 | | b=65+(10+8)w | | 4(7-9z)+18=-278 | | 2ln(x+4)=4ln(2) | | 4t+15-6y=-11 | | 3+7-(56+78)= | | -8a=2-9a | | -2-4y-2=40 | | 4x-3x^2+4=0 | | 1.2x+4.3=2.1-1 | | 4(2b-6)+11=7b-13 | | 1.5b+b+(b+45)+(2b-90)+90=540 | | -3(-5-3x)=93 | | 3x(5+2)=4x+5 | | x-4+x(3)=80 | | 12x-9y=36fory | | 3y=2y+10 | | 2w-8=3w | | -2(-3+x)=10 | | x^2y+3xy-(x^2)+x+2y+6=0 | | z^2+7z+28=0 | | -5x+5=26+2x | | log(x)=0.16 |