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Simplifying 5x(x + -2) + 20 = 12 Reorder the terms: 5x(-2 + x) + 20 = 12 (-2 * 5x + x * 5x) + 20 = 12 (-10x + 5x2) + 20 = 12 Reorder the terms: 20 + -10x + 5x2 = 12 Solving 20 + -10x + 5x2 = 12 Solving for variable 'x'. Reorder the terms: 20 + -12 + -10x + 5x2 = 12 + -12 Combine like terms: 20 + -12 = 8 8 + -10x + 5x2 = 12 + -12 Combine like terms: 12 + -12 = 0 8 + -10x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + -2x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + -2x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + -2x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -2x + x2 = 0 + -1.6 -2x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 -2x + x2 = -1.6 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.6 + 1 Reorder the terms: 1 + -2x + x2 = -1.6 + 1 Combine like terms: -1.6 + 1 = -0.6 1 + -2x + x2 = -0.6 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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