If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying r2 + -4r + -91 = 7 Reorder the terms: -91 + -4r + r2 = 7 Solving -91 + -4r + r2 = 7 Solving for variable 'r'. Reorder the terms: -91 + -7 + -4r + r2 = 7 + -7 Combine like terms: -91 + -7 = -98 -98 + -4r + r2 = 7 + -7 Combine like terms: 7 + -7 = 0 -98 + -4r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '98' to each side of the equation. -98 + -4r + 98 + r2 = 0 + 98 Reorder the terms: -98 + 98 + -4r + r2 = 0 + 98 Combine like terms: -98 + 98 = 0 0 + -4r + r2 = 0 + 98 -4r + r2 = 0 + 98 Combine like terms: 0 + 98 = 98 -4r + r2 = 98 The r term is -4r. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4r + 4 + r2 = 98 + 4 Reorder the terms: 4 + -4r + r2 = 98 + 4 Combine like terms: 98 + 4 = 102 4 + -4r + r2 = 102 Factor a perfect square on the left side: (r + -2)(r + -2) = 102 Calculate the square root of the right side: 10.099504938 Break this problem into two subproblems by setting (r + -2) equal to 10.099504938 and -10.099504938.Subproblem 1
r + -2 = 10.099504938 Simplifying r + -2 = 10.099504938 Reorder the terms: -2 + r = 10.099504938 Solving -2 + r = 10.099504938 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r = 10.099504938 + 2 Combine like terms: -2 + 2 = 0 0 + r = 10.099504938 + 2 r = 10.099504938 + 2 Combine like terms: 10.099504938 + 2 = 12.099504938 r = 12.099504938 Simplifying r = 12.099504938Subproblem 2
r + -2 = -10.099504938 Simplifying r + -2 = -10.099504938 Reorder the terms: -2 + r = -10.099504938 Solving -2 + r = -10.099504938 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r = -10.099504938 + 2 Combine like terms: -2 + 2 = 0 0 + r = -10.099504938 + 2 r = -10.099504938 + 2 Combine like terms: -10.099504938 + 2 = -8.099504938 r = -8.099504938 Simplifying r = -8.099504938Solution
The solution to the problem is based on the solutions from the subproblems. r = {12.099504938, -8.099504938}
| -3n-3=15 | | 3f-14=1 | | 168=5x+(2x+7) | | 8(x-4)=9x-5-4x | | 7(x-2)=6x-6+3x | | (3x^2-4)(x+2)=448 | | w-5= | | 2n^2+n-105=0 | | 15+2(-7)=8+(-7) | | 12x+4=8x-20 | | -6x-11=8x-3 | | -8x^3+3x^2+6+2x^3+-7x^2+-3= | | -3x-8=7x+10 | | 2(a^2+9)=15a | | 14m-(2m+8)=1 | | (x-8)(x-4)=5 | | c^2=1 | | 4x^2-6+2x^2+19x=180 | | mnp=q | | 2n=36 | | a-6=12-a | | 4-xy=z | | 6+2x=-6x+46 | | 5x^2+25x-70=0 | | 4-7m=3m+4 | | 2n-5=-8(6n+5) | | 5y=-2x+15 | | 9r^2+41r=20 | | 5-8x=45-15x | | 7r^2+33r=10 | | -42-10=-52 | | x-y=-10 |