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Simplifying 5r6t6 + -10r7t5 = 0 Solving 5r6t6 + -10r7t5 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r6t5'. 5r6t5(t + -2r) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'r6t5' equal to zero and attempt to solve: Simplifying r6t5 = 0 Solving r6t5 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r6t5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(t + -2r)' equal to zero and attempt to solve: Simplifying t + -2r = 0 Reorder the terms: -2r + t = 0 Solving -2r + t = 0 Move all terms containing r to the left, all other terms to the right. Add '-1t' to each side of the equation. -2r + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 -2r + 0 = 0 + -1t -2r = 0 + -1t Remove the zero: -2r = -1t Divide each side by '-2'. r = 0.5t Simplifying r = 0.5tSolution
r = {0.5t}
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