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Simplifying 0.2(-2.9q2 + 0.3r + -5) = 0 Reorder the terms: 0.2(-5 + -2.9q2 + 0.3r) = 0 (-5 * 0.2 + -2.9q2 * 0.2 + 0.3r * 0.2) = 0 (-1 + -0.58q2 + 0.06r) = 0 Solving -1 + -0.58q2 + 0.06r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -0.58q2 + 1 + 0.06r = 0 + 1 Reorder the terms: -1 + 1 + -0.58q2 + 0.06r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -0.58q2 + 0.06r = 0 + 1 -0.58q2 + 0.06r = 0 + 1 Combine like terms: 0 + 1 = 1 -0.58q2 + 0.06r = 1 Add '-0.06r' to each side of the equation. -0.58q2 + 0.06r + -0.06r = 1 + -0.06r Combine like terms: 0.06r + -0.06r = 0.00 -0.58q2 + 0.00 = 1 + -0.06r -0.58q2 = 1 + -0.06r Divide each side by '-0.58'. q2 = -1.724137931 + 0.1034482759r Simplifying q2 = -1.724137931 + 0.1034482759r Reorder the terms: 1.724137931 + q2 + -0.1034482759r = -1.724137931 + 0.1034482759r + 1.724137931 + -0.1034482759r Reorder the terms: 1.724137931 + q2 + -0.1034482759r = -1.724137931 + 1.724137931 + 0.1034482759r + -0.1034482759r Combine like terms: -1.724137931 + 1.724137931 = 0.000000000 1.724137931 + q2 + -0.1034482759r = 0.000000000 + 0.1034482759r + -0.1034482759r 1.724137931 + q2 + -0.1034482759r = 0.1034482759r + -0.1034482759r Combine like terms: 0.1034482759r + -0.1034482759r = 0.0000000000 1.724137931 + q2 + -0.1034482759r = 0.0000000000 The solution to this equation could not be determined.
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