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Simplifying 0.5x + -0.1x(x + -3) = 4 Reorder the terms: 0.5x + -0.1x(-3 + x) = 4 0.5x + (-3 * -0.1x + x * -0.1x) = 4 0.5x + (0.3x + -0.1x2) = 4 Combine like terms: 0.5x + 0.3x = 0.8x 0.8x + -0.1x2 = 4 Solving 0.8x + -0.1x2 = 4 Solving for variable 'x'. Reorder the terms: -4 + 0.8x + -0.1x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 0.8x + -0.1x2 = 0 Begin completing the square. Divide all terms by -0.1 the coefficient of the squared term: Divide each side by '-0.1'. 40 + -8x + x2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -8x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -8x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8x + x2 = 0 + -40 -8x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -8x + x2 = -40 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -40 + 16 Reorder the terms: 16 + -8x + x2 = -40 + 16 Combine like terms: -40 + 16 = -24 16 + -8x + x2 = -24 Factor a perfect square on the left side: (x + -4)(x + -4) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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