If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9r2 + 18r + -24 = 0 Reorder the terms: -24 + 18r + 9r2 = 0 Solving -24 + 18r + 9r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 6r + 3r2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + 6r + 3r2)' equal to zero and attempt to solve: Simplifying -8 + 6r + 3r2 = 0 Solving -8 + 6r + 3r2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -2.666666667 + 2r + r2 = 0 Move the constant term to the right: Add '2.666666667' to each side of the equation. -2.666666667 + 2r + 2.666666667 + r2 = 0 + 2.666666667 Reorder the terms: -2.666666667 + 2.666666667 + 2r + r2 = 0 + 2.666666667 Combine like terms: -2.666666667 + 2.666666667 = 0.000000000 0.000000000 + 2r + r2 = 0 + 2.666666667 2r + r2 = 0 + 2.666666667 Combine like terms: 0 + 2.666666667 = 2.666666667 2r + r2 = 2.666666667 The r term is 2r. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2r + 1 + r2 = 2.666666667 + 1 Reorder the terms: 1 + 2r + r2 = 2.666666667 + 1 Combine like terms: 2.666666667 + 1 = 3.666666667 1 + 2r + r2 = 3.666666667 Factor a perfect square on the left side: (r + 1)(r + 1) = 3.666666667 Calculate the square root of the right side: 1.914854216 Break this problem into two subproblems by setting (r + 1) equal to 1.914854216 and -1.914854216.Subproblem 1
r + 1 = 1.914854216 Simplifying r + 1 = 1.914854216 Reorder the terms: 1 + r = 1.914854216 Solving 1 + r = 1.914854216 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 1.914854216 + -1 Combine like terms: 1 + -1 = 0 0 + r = 1.914854216 + -1 r = 1.914854216 + -1 Combine like terms: 1.914854216 + -1 = 0.914854216 r = 0.914854216 Simplifying r = 0.914854216Subproblem 2
r + 1 = -1.914854216 Simplifying r + 1 = -1.914854216 Reorder the terms: 1 + r = -1.914854216 Solving 1 + r = -1.914854216 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = -1.914854216 + -1 Combine like terms: 1 + -1 = 0 0 + r = -1.914854216 + -1 r = -1.914854216 + -1 Combine like terms: -1.914854216 + -1 = -2.914854216 r = -2.914854216 Simplifying r = -2.914854216Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.914854216, -2.914854216}Solution
r = {0.914854216, -2.914854216}
| -4(2-5y)=-29 | | t-27=4t | | -18=16t | | 1+178-6+4= | | 6n-7=9 | | 45-3.5=27.5-x | | x+3x+5=73 | | .25x-3=37.5x+4 | | 40x^2-44x+11=0 | | x^2+3=x+9 | | 0.03+0.12(x+50)=3 | | 9x+12=9x-16 | | 9x+12=-8x-16 | | 8(x+12)=8x+96 | | 2(3x-2)+x+9=2 | | 2+68754=x | | 7-5x=-28 | | 2(-1)-6y=10 | | 2+68754= | | 20=5y-3 | | 4ln(x)+6=0 | | 6m+m+4(2m+1-m)=8 | | 2r+3=0 | | -3h-7h-20h+17h=-13 | | 27=5y-3 | | 3p(p-2)=p-2 | | 15w^3+20w^2= | | 2y+12=-5y+19 | | 5n-34=n+10 | | 4(2y+5)=3(2y+13) | | -2j+12j+10j+12j+18=-6 | | 0.7*0=2.8 |