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Simplifying 5x + -10 = 2x(x + 2) Reorder the terms: -10 + 5x = 2x(x + 2) Reorder the terms: -10 + 5x = 2x(2 + x) -10 + 5x = (2 * 2x + x * 2x) -10 + 5x = (4x + 2x2) Solving -10 + 5x = 4x + 2x2 Solving for variable 'x'. Combine like terms: 5x + -4x = 1x -10 + 1x + -2x2 = 4x + 2x2 + -4x + -2x2 Reorder the terms: -10 + 1x + -2x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 -10 + 1x + -2x2 = 0 + 2x2 + -2x2 -10 + 1x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -10 + 1x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 5 + -0.5x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -0.5x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -0.5x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x + x2 = 0 + -5 -0.5x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -0.5x + x2 = -5 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -5 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -5 + 0.0625 Combine like terms: -5 + 0.0625 = -4.9375 0.0625 + -0.5x + x2 = -4.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -4.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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