If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10r2 + -9r + 1 = 0 Reorder the terms: 1 + -9r + 10r2 = 0 Solving 1 + -9r + 10r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.1 + -0.9r + r2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.9r + -0.1 + r2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.9r + r2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.9r + r2 = 0 + -0.1 -0.9r + r2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.9r + r2 = -0.1 The r term is -0.9r. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9r + 0.2025 + r2 = -0.1 + 0.2025 Reorder the terms: 0.2025 + -0.9r + r2 = -0.1 + 0.2025 Combine like terms: -0.1 + 0.2025 = 0.1025 0.2025 + -0.9r + r2 = 0.1025 Factor a perfect square on the left side: (r + -0.45)(r + -0.45) = 0.1025 Calculate the square root of the right side: 0.320156212 Break this problem into two subproblems by setting (r + -0.45) equal to 0.320156212 and -0.320156212.Subproblem 1
r + -0.45 = 0.320156212 Simplifying r + -0.45 = 0.320156212 Reorder the terms: -0.45 + r = 0.320156212 Solving -0.45 + r = 0.320156212 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.45' to each side of the equation. -0.45 + 0.45 + r = 0.320156212 + 0.45 Combine like terms: -0.45 + 0.45 = 0.00 0.00 + r = 0.320156212 + 0.45 r = 0.320156212 + 0.45 Combine like terms: 0.320156212 + 0.45 = 0.770156212 r = 0.770156212 Simplifying r = 0.770156212Subproblem 2
r + -0.45 = -0.320156212 Simplifying r + -0.45 = -0.320156212 Reorder the terms: -0.45 + r = -0.320156212 Solving -0.45 + r = -0.320156212 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.45' to each side of the equation. -0.45 + 0.45 + r = -0.320156212 + 0.45 Combine like terms: -0.45 + 0.45 = 0.00 0.00 + r = -0.320156212 + 0.45 r = -0.320156212 + 0.45 Combine like terms: -0.320156212 + 0.45 = 0.129843788 r = 0.129843788 Simplifying r = 0.129843788Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.770156212, 0.129843788}
| -10x-20=30x+20 | | 16y+26=218 | | 50B-20C-10B+20C= | | 0=-5r+6 | | 5u-81=u-1 | | -5x^2+9x+12=0 | | (x+13)=2 | | 8x+10=-34 | | 13x+11=14x+4 | | 3t-70=t+50 | | log(4x-2)=log(5-5x) | | 13x+11=14x | | D=2.4t+32 | | 3(R-4)+8=2r+2 | | 0=u-6 | | p/4=6 | | -8(-u-w+6)= | | 1/3x^2-27=0 | | 6.5+n=5.9 | | 3n^2+6=11 | | 4(5z-1)-5(z+7)=10(z+1) | | 3n^2+6-11=0 | | 2s-45=s | | 1.4x-2.9y-1.9=0 | | (4x+-8)(3x+-1)=0 | | 0=12-3y | | C=30+1.50 | | (x+3+5)*x+3=75 | | a+15=-43 | | x(2x+12)=16 | | t-1.34=-22 | | 6u-9u=-7(-8) |