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Simplifying 20r2 + -16r = 48 Reorder the terms: -16r + 20r2 = 48 Solving -16r + 20r2 = 48 Solving for variable 'r'. Reorder the terms: -48 + -16r + 20r2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -16r + 20r2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + -4r + 5r2) = 0 Factor a trinomial. 4((-6 + -5r)(2 + -1r)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + -5r)' equal to zero and attempt to solve: Simplifying -6 + -5r = 0 Solving -6 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5r = 0 + 6 -5r = 0 + 6 Combine like terms: 0 + 6 = 6 -5r = 6 Divide each side by '-5'. r = -1.2 Simplifying r = -1.2Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {-1.2, 2}
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