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Simplifying -7o = 3(5 + -3o) * o Reorder the terms for easier multiplication: -7o = 3o(5 + -3o) -7o = (5 * 3o + -3o * 3o) -7o = (15o + -9o2) Solving -7o = 15o + -9o2 Solving for variable 'o'. Combine like terms: -7o + -15o = -22o -22o + 9o2 = 15o + -9o2 + -15o + 9o2 Reorder the terms: -22o + 9o2 = 15o + -15o + -9o2 + 9o2 Combine like terms: 15o + -15o = 0 -22o + 9o2 = 0 + -9o2 + 9o2 -22o + 9o2 = -9o2 + 9o2 Combine like terms: -9o2 + 9o2 = 0 -22o + 9o2 = 0 Factor out the Greatest Common Factor (GCF), 'o'. o(-22 + 9o) = 0Subproblem 1
Set the factor 'o' equal to zero and attempt to solve: Simplifying o = 0 Solving o = 0 Move all terms containing o to the left, all other terms to the right. Simplifying o = 0Subproblem 2
Set the factor '(-22 + 9o)' equal to zero and attempt to solve: Simplifying -22 + 9o = 0 Solving -22 + 9o = 0 Move all terms containing o to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 9o = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 9o = 0 + 22 9o = 0 + 22 Combine like terms: 0 + 22 = 22 9o = 22 Divide each side by '9'. o = 2.444444444 Simplifying o = 2.444444444Solution
o = {0, 2.444444444}
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