If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2r2 + -7r + -12 = 0 Reorder the terms: -12 + -7r + 2r2 = 0 Solving -12 + -7r + 2r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -6 + -3.5r + r2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + -3.5r + 6 + r2 = 0 + 6 Reorder the terms: -6 + 6 + -3.5r + r2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3.5r + r2 = 0 + 6 -3.5r + r2 = 0 + 6 Combine like terms: 0 + 6 = 6 -3.5r + r2 = 6 The r term is -3.5r. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5r + 3.0625 + r2 = 6 + 3.0625 Reorder the terms: 3.0625 + -3.5r + r2 = 6 + 3.0625 Combine like terms: 6 + 3.0625 = 9.0625 3.0625 + -3.5r + r2 = 9.0625 Factor a perfect square on the left side: (r + -1.75)(r + -1.75) = 9.0625 Calculate the square root of the right side: 3.010398645 Break this problem into two subproblems by setting (r + -1.75) equal to 3.010398645 and -3.010398645.Subproblem 1
r + -1.75 = 3.010398645 Simplifying r + -1.75 = 3.010398645 Reorder the terms: -1.75 + r = 3.010398645 Solving -1.75 + r = 3.010398645 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + r = 3.010398645 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + r = 3.010398645 + 1.75 r = 3.010398645 + 1.75 Combine like terms: 3.010398645 + 1.75 = 4.760398645 r = 4.760398645 Simplifying r = 4.760398645Subproblem 2
r + -1.75 = -3.010398645 Simplifying r + -1.75 = -3.010398645 Reorder the terms: -1.75 + r = -3.010398645 Solving -1.75 + r = -3.010398645 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + r = -3.010398645 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + r = -3.010398645 + 1.75 r = -3.010398645 + 1.75 Combine like terms: -3.010398645 + 1.75 = -1.260398645 r = -1.260398645 Simplifying r = -1.260398645Solution
The solution to the problem is based on the solutions from the subproblems. r = {4.760398645, -1.260398645}
| 8x^2+7x-2=0 | | a(x)=sin(x)+sin(5x)+sin(7x) | | 12=0.5a+a | | axb=50 | | 1+v=10 | | 56+x-4= | | 2b=ax+a | | 5b-2a=3c | | 5x-2=4-2x-7x | | 2m=65-4a | | r=m(a+g) | | 2a-3m=4a | | a(p-4)=9 | | ax^2=5y-4 | | m-n-a=h | | z-a=2k | | ak=p-q+k | | 5pq-a=p^2-q | | x+(x+3)=36 | | 2xy=3ak | | -2(-7)+18-4(-7)=60 | | 7k-h-a=2a | | b-a+k=h^3 | | 5p^2-12p-128=0 | | 2x=2*45 | | 4n^2-12n-72=0 | | 12r^2+8r-14=0 | | 4k^2+4k-99=0 | | 3a^2-10a-12=0 | | 480=6x*x | | a^2-11a-80=0 | | 5x-79=47 |