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Simplifying (2x + 3)(x + -1) + -2x2 + 4x + 5 = 0 Reorder the terms: (3 + 2x)(x + -1) + -2x2 + 4x + 5 = 0 Reorder the terms: (3 + 2x)(-1 + x) + -2x2 + 4x + 5 = 0 Multiply (3 + 2x) * (-1 + x) (3(-1 + x) + 2x * (-1 + x)) + -2x2 + 4x + 5 = 0 ((-1 * 3 + x * 3) + 2x * (-1 + x)) + -2x2 + 4x + 5 = 0 ((-3 + 3x) + 2x * (-1 + x)) + -2x2 + 4x + 5 = 0 (-3 + 3x + (-1 * 2x + x * 2x)) + -2x2 + 4x + 5 = 0 (-3 + 3x + (-2x + 2x2)) + -2x2 + 4x + 5 = 0 Combine like terms: 3x + -2x = 1x (-3 + 1x + 2x2) + -2x2 + 4x + 5 = 0 Reorder the terms: -3 + 5 + 1x + 4x + 2x2 + -2x2 = 0 Combine like terms: -3 + 5 = 2 2 + 1x + 4x + 2x2 + -2x2 = 0 Combine like terms: 1x + 4x = 5x 2 + 5x + 2x2 + -2x2 = 0 Combine like terms: 2x2 + -2x2 = 0 2 + 5x + 0 = 0 2 + 5x = 0 Solving 2 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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