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Simplifying 3x2 + -7x + 5m + -3 = 0 Reorder the terms: -3 + 5m + -7x + 3x2 = 0 Solving -3 + 5m + -7x + 3x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5m + -7x + 3 + 3x2 = 0 + 3 Reorder the terms: -3 + 3 + 5m + -7x + 3x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5m + -7x + 3x2 = 0 + 3 5m + -7x + 3x2 = 0 + 3 Combine like terms: 0 + 3 = 3 5m + -7x + 3x2 = 3 Add '7x' to each side of the equation. 5m + -7x + 7x + 3x2 = 3 + 7x Combine like terms: -7x + 7x = 0 5m + 0 + 3x2 = 3 + 7x 5m + 3x2 = 3 + 7x Add '-3x2' to each side of the equation. 5m + 3x2 + -3x2 = 3 + 7x + -3x2 Combine like terms: 3x2 + -3x2 = 0 5m + 0 = 3 + 7x + -3x2 5m = 3 + 7x + -3x2 Divide each side by '5'. m = 0.6 + 1.4x + -0.6x2 Simplifying m = 0.6 + 1.4x + -0.6x2
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