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Simplifying 0.9q2 + -6q + 90 = 0.3q2 + -3q + 90 Reorder the terms: 90 + -6q + 0.9q2 = 0.3q2 + -3q + 90 Reorder the terms: 90 + -6q + 0.9q2 = 90 + -3q + 0.3q2 Add '-90' to each side of the equation. 90 + -6q + -90 + 0.9q2 = 90 + -3q + -90 + 0.3q2 Reorder the terms: 90 + -90 + -6q + 0.9q2 = 90 + -3q + -90 + 0.3q2 Combine like terms: 90 + -90 = 0 0 + -6q + 0.9q2 = 90 + -3q + -90 + 0.3q2 -6q + 0.9q2 = 90 + -3q + -90 + 0.3q2 Reorder the terms: -6q + 0.9q2 = 90 + -90 + -3q + 0.3q2 Combine like terms: 90 + -90 = 0 -6q + 0.9q2 = 0 + -3q + 0.3q2 -6q + 0.9q2 = -3q + 0.3q2 Solving -6q + 0.9q2 = -3q + 0.3q2 Solving for variable 'q'. Reorder the terms: -6q + 3q + 0.9q2 + -0.3q2 = -3q + 0.3q2 + 3q + -0.3q2 Combine like terms: -6q + 3q = -3q -3q + 0.9q2 + -0.3q2 = -3q + 0.3q2 + 3q + -0.3q2 Combine like terms: 0.9q2 + -0.3q2 = 0.6q2 -3q + 0.6q2 = -3q + 0.3q2 + 3q + -0.3q2 Reorder the terms: -3q + 0.6q2 = -3q + 3q + 0.3q2 + -0.3q2 Combine like terms: -3q + 3q = 0 -3q + 0.6q2 = 0 + 0.3q2 + -0.3q2 -3q + 0.6q2 = 0.3q2 + -0.3q2 Combine like terms: 0.3q2 + -0.3q2 = 0.0 -3q + 0.6q2 = 0.0 The solution to this equation could not be determined.
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