If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7r2 + -60r + -175 = 0 Reorder the terms: -175 + -60r + 7r2 = 0 Solving -175 + -60r + 7r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -25 + -8.571428571r + r2 = 0 Move the constant term to the right: Add '25' to each side of the equation. -25 + -8.571428571r + 25 + r2 = 0 + 25 Reorder the terms: -25 + 25 + -8.571428571r + r2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -8.571428571r + r2 = 0 + 25 -8.571428571r + r2 = 0 + 25 Combine like terms: 0 + 25 = 25 -8.571428571r + r2 = 25 The r term is -8.571428571r. Take half its coefficient (-4.285714286). Square it (18.36734694) and add it to both sides. Add '18.36734694' to each side of the equation. -8.571428571r + 18.36734694 + r2 = 25 + 18.36734694 Reorder the terms: 18.36734694 + -8.571428571r + r2 = 25 + 18.36734694 Combine like terms: 25 + 18.36734694 = 43.36734694 18.36734694 + -8.571428571r + r2 = 43.36734694 Factor a perfect square on the left side: (r + -4.285714286)(r + -4.285714286) = 43.36734694 Calculate the square root of the right side: 6.585388898 Break this problem into two subproblems by setting (r + -4.285714286) equal to 6.585388898 and -6.585388898.Subproblem 1
r + -4.285714286 = 6.585388898 Simplifying r + -4.285714286 = 6.585388898 Reorder the terms: -4.285714286 + r = 6.585388898 Solving -4.285714286 + r = 6.585388898 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.285714286' to each side of the equation. -4.285714286 + 4.285714286 + r = 6.585388898 + 4.285714286 Combine like terms: -4.285714286 + 4.285714286 = 0.000000000 0.000000000 + r = 6.585388898 + 4.285714286 r = 6.585388898 + 4.285714286 Combine like terms: 6.585388898 + 4.285714286 = 10.871103184 r = 10.871103184 Simplifying r = 10.871103184Subproblem 2
r + -4.285714286 = -6.585388898 Simplifying r + -4.285714286 = -6.585388898 Reorder the terms: -4.285714286 + r = -6.585388898 Solving -4.285714286 + r = -6.585388898 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.285714286' to each side of the equation. -4.285714286 + 4.285714286 + r = -6.585388898 + 4.285714286 Combine like terms: -4.285714286 + 4.285714286 = 0.000000000 0.000000000 + r = -6.585388898 + 4.285714286 r = -6.585388898 + 4.285714286 Combine like terms: -6.585388898 + 4.285714286 = -2.299674612 r = -2.299674612 Simplifying r = -2.299674612Solution
The solution to the problem is based on the solutions from the subproblems. r = {10.871103184, -2.299674612}
| y=x^2+12x+32 | | 7.5a+40=12.5a | | (5x^2-11x-12)/(5x^2-13x-6) | | 2(2x+5)=x+16 | | 2s+d=3 | | (1/7-1i/5)(1/14+2i/5) | | 9r^2+60r-900=0 | | 300-40/x=140 | | 14-5x=x | | 5/2-p=7/4 | | 17+b/8=13 | | 9/10/1/8*9/2 | | (3m/m-2)-(m-3/m+4) | | 9/10/1/8 | | 2m^2=20 | | 7-11=z/-9 | | w*10*10=28.8 | | 5x+3x-x=25 | | 46=-6/t-8 | | 6y-3x=-3 | | 8n-9m=-77 | | 1/3x^2-25/9x-2/1=0 | | 40=200-20z | | d=ut+0.5at^2 | | g^2-3g-4=0 | | 5k^2+3k-14=0 | | c/4+9=-5 | | x(x+6)=6(x+6) | | -2x+3y=36 | | y+8=(-6) | | x^2-2x-18=4x+9 | | 7x-11=-19+-3 |