If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9R2 + -12R + -18 = 0 Reorder the terms: -18 + -12R + 9R2 = 0 Solving -18 + -12R + 9R2 = 0 Solving for variable 'R'. Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + -4R + 3R2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -4R + 3R2)' equal to zero and attempt to solve: Simplifying -6 + -4R + 3R2 = 0 Solving -6 + -4R + 3R2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -2 + -1.333333333R + R2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + -1.333333333R + 2 + R2 = 0 + 2 Reorder the terms: -2 + 2 + -1.333333333R + R2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1.333333333R + R2 = 0 + 2 -1.333333333R + R2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1.333333333R + R2 = 2 The R term is -1.333333333R. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333R + 0.4444444442 + R2 = 2 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333R + R2 = 2 + 0.4444444442 Combine like terms: 2 + 0.4444444442 = 2.4444444442 0.4444444442 + -1.333333333R + R2 = 2.4444444442 Factor a perfect square on the left side: (R + -0.6666666665)(R + -0.6666666665) = 2.4444444442 Calculate the square root of the right side: 1.56347192 Break this problem into two subproblems by setting (R + -0.6666666665) equal to 1.56347192 and -1.56347192.Subproblem 1
R + -0.6666666665 = 1.56347192 Simplifying R + -0.6666666665 = 1.56347192 Reorder the terms: -0.6666666665 + R = 1.56347192 Solving -0.6666666665 + R = 1.56347192 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + R = 1.56347192 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + R = 1.56347192 + 0.6666666665 R = 1.56347192 + 0.6666666665 Combine like terms: 1.56347192 + 0.6666666665 = 2.2301385865 R = 2.2301385865 Simplifying R = 2.2301385865Subproblem 2
R + -0.6666666665 = -1.56347192 Simplifying R + -0.6666666665 = -1.56347192 Reorder the terms: -0.6666666665 + R = -1.56347192 Solving -0.6666666665 + R = -1.56347192 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + R = -1.56347192 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + R = -1.56347192 + 0.6666666665 R = -1.56347192 + 0.6666666665 Combine like terms: -1.56347192 + 0.6666666665 = -0.8968052535 R = -0.8968052535 Simplifying R = -0.8968052535Solution
The solution to the problem is based on the solutions from the subproblems. R = {2.2301385865, -0.8968052535}Solution
R = {2.2301385865, -0.8968052535}
| -20x+21=5 | | -20x+21=4 | | a^2=67 | | 2=x+y | | -2(4x+3)=6(-4x-3) | | 1halfw=8 | | 64+b^2=289 | | zx+3=7 | | T-17.2=16.3 | | 7d+5=4d | | X-3+2(x-23)-3(x-4)= | | 15,67=x/y | | 2(4x+3)=6(-4x-3) | | 6m+9m+5=-1 | | g(3a-6)= | | -2x^2+8x+142=0 | | 63(3/7) | | 4x+62=180 | | -8(7z+4)=-30+2z | | 3c^2-8c-3=0 | | 4y-1=8+y | | (5+y).5=.25y | | (1c-1)-(1-1c)=2c-2 | | A^2=-1/144 | | 3r^2-7r=8 | | y=ln(3+4x) | | x-4(6x+4)=19 | | 5s-81/4 | | (n+-6)(n+-3)=0 | | -2x-6y=-1 | | 2w^2-11w=-5 | | 9x+90=12x+45 |