-2r+8+6r(2-r)=20

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Solution for -2r+8+6r(2-r)=20 equation:


Simplifying
-2r + 8 + 6r(2 + -1r) = 20
-2r + 8 + (2 * 6r + -1r * 6r) = 20
-2r + 8 + (12r + -6r2) = 20

Reorder the terms:
8 + -2r + 12r + -6r2 = 20

Combine like terms: -2r + 12r = 10r
8 + 10r + -6r2 = 20

Solving
8 + 10r + -6r2 = 20

Solving for variable 'r'.

Reorder the terms:
8 + -20 + 10r + -6r2 = 20 + -20

Combine like terms: 8 + -20 = -12
-12 + 10r + -6r2 = 20 + -20

Combine like terms: 20 + -20 = 0
-12 + 10r + -6r2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 5r + -3r2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + 5r + -3r2)' equal to zero and attempt to solve: Simplifying -6 + 5r + -3r2 = 0 Solving -6 + 5r + -3r2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2 + -1.666666667r + r2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.666666667r + -2 + r2 = 0 + -2 Reorder the terms: 2 + -2 + -1.666666667r + r2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.666666667r + r2 = 0 + -2 -1.666666667r + r2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.666666667r + r2 = -2 The r term is -1.666666667r. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667r + 0.6944444447 + r2 = -2 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667r + r2 = -2 + 0.6944444447 Combine like terms: -2 + 0.6944444447 = -1.3055555553 0.6944444447 + -1.666666667r + r2 = -1.3055555553 Factor a perfect square on the left side: (r + -0.8333333335)(r + -0.8333333335) = -1.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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