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Simplifying 2r(25r6 + -36) = 0 Reorder the terms: 2r(-36 + 25r6) = 0 (-36 * 2r + 25r6 * 2r) = 0 (-72r + 50r7) = 0 Solving -72r + 50r7 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(-36 + 25r6) = 0 Factor a difference between two squares. 2r((6 + 5r3)(-6 + 5r3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(6 + 5r3)' equal to zero and attempt to solve: Simplifying 6 + 5r3 = 0 Solving 6 + 5r3 = 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 + 5r3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5r3 = 0 + -6 5r3 = 0 + -6 Combine like terms: 0 + -6 = -6 5r3 = -6 Divide each side by '5'. r3 = -1.2 Simplifying r3 = -1.2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-6 + 5r3)' equal to zero and attempt to solve: Simplifying -6 + 5r3 = 0 Solving -6 + 5r3 = 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 + 5r3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5r3 = 0 + 6 5r3 = 0 + 6 Combine like terms: 0 + 6 = 6 5r3 = 6 Divide each side by '5'. r3 = 1.2 Simplifying r3 = 1.2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
r = {0}
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