If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying r2 + 14r + -102 = -9 Reorder the terms: -102 + 14r + r2 = -9 Solving -102 + 14r + r2 = -9 Solving for variable 'r'. Reorder the terms: -102 + 9 + 14r + r2 = -9 + 9 Combine like terms: -102 + 9 = -93 -93 + 14r + r2 = -9 + 9 Combine like terms: -9 + 9 = 0 -93 + 14r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '93' to each side of the equation. -93 + 14r + 93 + r2 = 0 + 93 Reorder the terms: -93 + 93 + 14r + r2 = 0 + 93 Combine like terms: -93 + 93 = 0 0 + 14r + r2 = 0 + 93 14r + r2 = 0 + 93 Combine like terms: 0 + 93 = 93 14r + r2 = 93 The r term is 14r. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14r + 49 + r2 = 93 + 49 Reorder the terms: 49 + 14r + r2 = 93 + 49 Combine like terms: 93 + 49 = 142 49 + 14r + r2 = 142 Factor a perfect square on the left side: (r + 7)(r + 7) = 142 Calculate the square root of the right side: 11.916375288 Break this problem into two subproblems by setting (r + 7) equal to 11.916375288 and -11.916375288.Subproblem 1
r + 7 = 11.916375288 Simplifying r + 7 = 11.916375288 Reorder the terms: 7 + r = 11.916375288 Solving 7 + r = 11.916375288 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + r = 11.916375288 + -7 Combine like terms: 7 + -7 = 0 0 + r = 11.916375288 + -7 r = 11.916375288 + -7 Combine like terms: 11.916375288 + -7 = 4.916375288 r = 4.916375288 Simplifying r = 4.916375288Subproblem 2
r + 7 = -11.916375288 Simplifying r + 7 = -11.916375288 Reorder the terms: 7 + r = -11.916375288 Solving 7 + r = -11.916375288 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + r = -11.916375288 + -7 Combine like terms: 7 + -7 = 0 0 + r = -11.916375288 + -7 r = -11.916375288 + -7 Combine like terms: -11.916375288 + -7 = -18.916375288 r = -18.916375288 Simplifying r = -18.916375288Solution
The solution to the problem is based on the solutions from the subproblems. r = {4.916375288, -18.916375288}
| 6w^2-11w-7=0 | | 3(4q-2)=2(3q+5) | | 259-3x=42x+24 | | x^2+6x-71=-5 | | 25=15+5x | | -y+5=3 | | 23+14*2= | | 4x+2.4=6.4 | | b^2+2b=-1 | | -2x+1=3x-19 | | 5(4x-2)=x+9 | | 6-(3y+4)=7y+12 | | -7x-9=-3x-1 | | -10m=90 | | -x-9=-3x+13 | | n^2-35=2n | | -12x+15=-6x+69 | | -3x+9=-2x+14 | | 3s^2-26s-9=0 | | x+20=7x+26 | | -6x+5=x-9 | | -18-4x=6-10x | | 6x+9=5x+17 | | x^2+8x+16=(x+4)(x+4) | | 9x-1=7x+9 | | 2b+4=12 | | 2(4x-7)=2 | | 479x+47=3532445334434x | | 2x+7=5x+10 | | 3a^2=-11 | | 9-4x=3x-12 | | -4x+1=x+21 |