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Simplifying (-7r7 + r4 + -2r) + -1(-5r7 + 5r4) = 0 Reorder the terms: (-2r + r4 + -7r7) + -1(-5r7 + 5r4) = 0 Remove parenthesis around (-2r + r4 + -7r7) -2r + r4 + -7r7 + -1(-5r7 + 5r4) = 0 Reorder the terms: -2r + r4 + -7r7 + -1(5r4 + -5r7) = 0 -2r + r4 + -7r7 + (5r4 * -1 + -5r7 * -1) = 0 -2r + r4 + -7r7 + (-5r4 + 5r7) = 0 Reorder the terms: -2r + r4 + -5r4 + -7r7 + 5r7 = 0 Combine like terms: r4 + -5r4 = -4r4 -2r + -4r4 + -7r7 + 5r7 = 0 Combine like terms: -7r7 + 5r7 = -2r7 -2r + -4r4 + -2r7 = 0 Solving -2r + -4r4 + -2r7 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-2r'. -2r(1 + 2r3 + r6) = 0 Factor a trinomial. -2r((1 + r3)(1 + r3)) = 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 '(1 + r3)' equal to zero and attempt to solve: Simplifying 1 + r3 = 0 Solving 1 + r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r3 = 0 + -1 r3 = 0 + -1 Combine like terms: 0 + -1 = -1 r3 = -1 Simplifying r3 = -1 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 '(1 + r3)' equal to zero and attempt to solve: Simplifying 1 + r3 = 0 Solving 1 + r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r3 = 0 + -1 r3 = 0 + -1 Combine like terms: 0 + -1 = -1 r3 = -1 Simplifying r3 = -1 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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