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Simplifying 0.4x2 + -0.7x + -1sqrt(5) = 0 Reorder the terms for easier multiplication: 0.4x2 + -0.7x + -1 * 5qrst = 0 Multiply -1 * 5 0.4x2 + -0.7x + -5qrst = 0 Reorder the terms: -5qrst + -0.7x + 0.4x2 = 0 Solving -5qrst + -0.7x + 0.4x2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.7x' to each side of the equation. -5qrst + -0.7x + 0.7x + 0.4x2 = 0 + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -5qrst + 0.0 + 0.4x2 = 0 + 0.7x -5qrst + 0.4x2 = 0 + 0.7x Remove the zero: -5qrst + 0.4x2 = 0.7x Add '-0.4x2' to each side of the equation. -5qrst + 0.4x2 + -0.4x2 = 0.7x + -0.4x2 Combine like terms: 0.4x2 + -0.4x2 = 0.0 -5qrst + 0.0 = 0.7x + -0.4x2 -5qrst = 0.7x + -0.4x2 Divide each side by '-5rst'. q = -0.14r-1s-1t-1x + 0.08r-1s-1t-1x2 Simplifying q = -0.14r-1s-1t-1x + 0.08r-1s-1t-1x2
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