If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -10 = r2 + -10r + 12 Reorder the terms: -10 = 12 + -10r + r2 Solving -10 = 12 + -10r + r2 Solving for variable 'r'. Combine like terms: -10 + -12 = -22 -22 + 10r + -1r2 = 12 + -10r + r2 + -12 + 10r + -1r2 Reorder the terms: -22 + 10r + -1r2 = 12 + -12 + -10r + 10r + r2 + -1r2 Combine like terms: 12 + -12 = 0 -22 + 10r + -1r2 = 0 + -10r + 10r + r2 + -1r2 -22 + 10r + -1r2 = -10r + 10r + r2 + -1r2 Combine like terms: -10r + 10r = 0 -22 + 10r + -1r2 = 0 + r2 + -1r2 -22 + 10r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 -22 + 10r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 22 + -10r + r2 = 0 Move the constant term to the right: Add '-22' to each side of the equation. 22 + -10r + -22 + r2 = 0 + -22 Reorder the terms: 22 + -22 + -10r + r2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -10r + r2 = 0 + -22 -10r + r2 = 0 + -22 Combine like terms: 0 + -22 = -22 -10r + r2 = -22 The r term is -10r. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10r + 25 + r2 = -22 + 25 Reorder the terms: 25 + -10r + r2 = -22 + 25 Combine like terms: -22 + 25 = 3 25 + -10r + r2 = 3 Factor a perfect square on the left side: (r + -5)(r + -5) = 3 Calculate the square root of the right side: 1.732050808 Break this problem into two subproblems by setting (r + -5) equal to 1.732050808 and -1.732050808.Subproblem 1
r + -5 = 1.732050808 Simplifying r + -5 = 1.732050808 Reorder the terms: -5 + r = 1.732050808 Solving -5 + r = 1.732050808 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + r = 1.732050808 + 5 Combine like terms: -5 + 5 = 0 0 + r = 1.732050808 + 5 r = 1.732050808 + 5 Combine like terms: 1.732050808 + 5 = 6.732050808 r = 6.732050808 Simplifying r = 6.732050808Subproblem 2
r + -5 = -1.732050808 Simplifying r + -5 = -1.732050808 Reorder the terms: -5 + r = -1.732050808 Solving -5 + r = -1.732050808 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + r = -1.732050808 + 5 Combine like terms: -5 + 5 = 0 0 + r = -1.732050808 + 5 r = -1.732050808 + 5 Combine like terms: -1.732050808 + 5 = 3.267949192 r = 3.267949192 Simplifying r = 3.267949192Solution
The solution to the problem is based on the solutions from the subproblems. r = {6.732050808, 3.267949192}
| r^2+16=2+r | | 4(x+1)=5x-5 | | 14+7t=4t-1 | | 2m^2+9m+7=3 | | x-5=-1+8 | | 5x-x+8x= | | 7y^2=12y | | X=-16x^2+200x | | 3b-3-9b-7= | | 3x^3-2x^2-6x+4=0 | | 9y+4-7(3y-2)= | | 3w^2-18w-20=0 | | 5x-30y=30 | | 11-8= | | 3x+y-2x-y+1=1 | | ln(21x+4)=ln(10) | | h^2-6h-216=0 | | x^2+40=0 | | X^4=36 | | q=-6+40 | | 14=2x+8 | | 3x-4y=5 | | 4x^2+31x+21=0 | | 3x+3x=3+2x | | 5100=3x-900 | | q=-6p+40 | | 1x=2+2x | | 5xy-2x^2y+2xy= | | 4(x-2)=x-3 | | -5x^2+28x-32=0 | | h^2*h^6= | | -5x^2+28x+40=0 |