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Simplifying 5 = -0.5(2x + -4) * 2x Reorder the terms: 5 = -0.5(-4 + 2x) * 2x Reorder the terms for easier multiplication: 5 = -0.5 * 2x(-4 + 2x) Multiply -0.5 * 2 5 = -1x(-4 + 2x) 5 = (-4 * -1x + 2x * -1x) 5 = (4x + -2x2) Solving 5 = 4x + -2x2 Solving for variable 'x'. Reorder the terms: 5 + -4x + 2x2 = 4x + -4x + -2x2 + 2x2 Combine like terms: 4x + -4x = 0 5 + -4x + 2x2 = 0 + -2x2 + 2x2 5 + -4x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 5 + -4x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + -2x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -2x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -2x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2x + x2 = 0 + -2.5 -2x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -2x + x2 = -2.5 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 = -2.5 + 1 Reorder the terms: 1 + -2x + x2 = -2.5 + 1 Combine like terms: -2.5 + 1 = -1.5 1 + -2x + x2 = -1.5 Factor a perfect square on the left side: (x + -1)(x + -1) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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