If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying r2 + -6r + -14 = 0 Reorder the terms: -14 + -6r + r2 = 0 Solving -14 + -6r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '14' to each side of the equation. -14 + -6r + 14 + r2 = 0 + 14 Reorder the terms: -14 + 14 + -6r + r2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -6r + r2 = 0 + 14 -6r + r2 = 0 + 14 Combine like terms: 0 + 14 = 14 -6r + r2 = 14 The r term is -6r. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6r + 9 + r2 = 14 + 9 Reorder the terms: 9 + -6r + r2 = 14 + 9 Combine like terms: 14 + 9 = 23 9 + -6r + r2 = 23 Factor a perfect square on the left side: (r + -3)(r + -3) = 23 Calculate the square root of the right side: 4.795831523 Break this problem into two subproblems by setting (r + -3) equal to 4.795831523 and -4.795831523.Subproblem 1
r + -3 = 4.795831523 Simplifying r + -3 = 4.795831523 Reorder the terms: -3 + r = 4.795831523 Solving -3 + r = 4.795831523 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + r = 4.795831523 + 3 Combine like terms: -3 + 3 = 0 0 + r = 4.795831523 + 3 r = 4.795831523 + 3 Combine like terms: 4.795831523 + 3 = 7.795831523 r = 7.795831523 Simplifying r = 7.795831523Subproblem 2
r + -3 = -4.795831523 Simplifying r + -3 = -4.795831523 Reorder the terms: -3 + r = -4.795831523 Solving -3 + r = -4.795831523 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + r = -4.795831523 + 3 Combine like terms: -3 + 3 = 0 0 + r = -4.795831523 + 3 r = -4.795831523 + 3 Combine like terms: -4.795831523 + 3 = -1.795831523 r = -1.795831523 Simplifying r = -1.795831523Solution
The solution to the problem is based on the solutions from the subproblems. r = {7.795831523, -1.795831523}
| 4x+42=x+15 | | 12v-5+10z+8= | | y/3-(y-8)/5=-12/5 | | 3y+5x-18=0 | | y/3-y-8/5=12/5 | | x-5=4x+7 | | 5b(12b+7)=0 | | 8n^2-8=280 | | v^2+8=-6v | | 375x+240=0.6 | | 375x-0.6=240 | | 375-0.6=240 | | 2.7a+159b=1000 | | 0.3a+2.3b=8 | | 1450-x/1450=92.8 | | (-3)(7x^2y-xy+2y)= | | 0.3b+2.3a=a | | 257-63x= | | -2/3m=-6 | | 6t^2+1=2t+5t^2 | | 157+x=4x-41 | | (1450-x/1450)100=92.8 | | 2.3a+.3b=8 | | 10x-2(4x-7)=24 | | 4x^2-96=-20x | | 159a+2.7b=1000 | | 74x= | | -2x+29=x+8 | | y(25y^2-166y-70)= | | 2y^2-y=0 | | 3w^2+16=8w+2w^2 | | 3x+14=x+2 |