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Simplifying x(3 + 2x) = (2x + 1)(x + -3) (3 * x + 2x * x) = (2x + 1)(x + -3) (3x + 2x2) = (2x + 1)(x + -3) Reorder the terms: 3x + 2x2 = (1 + 2x)(x + -3) Reorder the terms: 3x + 2x2 = (1 + 2x)(-3 + x) Multiply (1 + 2x) * (-3 + x) 3x + 2x2 = (1(-3 + x) + 2x * (-3 + x)) 3x + 2x2 = ((-3 * 1 + x * 1) + 2x * (-3 + x)) 3x + 2x2 = ((-3 + 1x) + 2x * (-3 + x)) 3x + 2x2 = (-3 + 1x + (-3 * 2x + x * 2x)) 3x + 2x2 = (-3 + 1x + (-6x + 2x2)) Combine like terms: 1x + -6x = -5x 3x + 2x2 = (-3 + -5x + 2x2) Add '-2x2' to each side of the equation. 3x + 2x2 + -2x2 = -3 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3x + 0 = -3 + -5x + 2x2 + -2x2 3x = -3 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3x = -3 + -5x + 0 3x = -3 + -5x Solving 3x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3x + 5x = -3 + -5x + 5x Combine like terms: 3x + 5x = 8x 8x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 8x = -3 + 0 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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