If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5r2 + 5r + -1 = 0 Reorder the terms: -1 + 5r + 5r2 = 0 Solving -1 + 5r + 5r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -0.2 + r + r2 = 0 Move the constant term to the right: Add '0.2' to each side of the equation. -0.2 + r + 0.2 + r2 = 0 + 0.2 Reorder the terms: -0.2 + 0.2 + r + r2 = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + r + r2 = 0 + 0.2 r + r2 = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 r + r2 = 0.2 The r term is r. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + r2 = 0.2 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + r2 = 0.2 + 0.25 Combine like terms: 0.2 + 0.25 = 0.45 1.25 + r2 = 0.45 Factor a perfect square on the left side: (r + 0.5)(r + 0.5) = 0.45 Calculate the square root of the right side: 0.670820393 Break this problem into two subproblems by setting (r + 0.5) equal to 0.670820393 and -0.670820393.Subproblem 1
r + 0.5 = 0.670820393 Simplifying r + 0.5 = 0.670820393 Reorder the terms: 0.5 + r = 0.670820393 Solving 0.5 + r = 0.670820393 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + r = 0.670820393 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + r = 0.670820393 + -0.5 r = 0.670820393 + -0.5 Combine like terms: 0.670820393 + -0.5 = 0.170820393 r = 0.170820393 Simplifying r = 0.170820393Subproblem 2
r + 0.5 = -0.670820393 Simplifying r + 0.5 = -0.670820393 Reorder the terms: 0.5 + r = -0.670820393 Solving 0.5 + r = -0.670820393 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + r = -0.670820393 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + r = -0.670820393 + -0.5 r = -0.670820393 + -0.5 Combine like terms: -0.670820393 + -0.5 = -1.170820393 r = -1.170820393 Simplifying r = -1.170820393Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.170820393, -1.170820393}
| -10=1-3v-8v | | 4x-3x+9=3x+12 | | (a/5)=-16 | | x^3+7x^2-14x-120=0 | | -3.6(p+16.9)=-17.28 | | -2(x+4)=24 | | 2(2x)+4x=50 | | 3*1-5*y=9 | | n-(1/3)=(2/5) | | 3[5(x-3)+2(x+9)]=5[2(x+3)+2(x-7)] | | 7(7-(-5x-4))=175x+189 | | 15y=14y+126 | | 18-2(x-2)=8x-10+4x | | 6-2(3x+2)=-12 | | -4y^2-33y-35=0 | | -(3/4)m=-(9/16) | | -4y^2-33-35=0 | | =5*x+1 | | -4y^2-337-35=0 | | 5-(2x+3)=-11 | | 0.5(2x-1)=h | | L+1.5l+26=76 | | x+2-7x=2 | | 14y=13y+196 | | -14.82=r+11.28 | | -2(a+3)=-50 | | (x-2)-8=10 | | w-(2/9)=(5/9) | | 4m9+13-1m3=4 | | -5=(-a/36) | | 0.3x+5.5=0.2x+2.6 | | 4x+3=-6+2x+17 |