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Simplifying (2x + -5) * 2 + -1(2x + 3)(2x + -3) = 4 Reorder the terms: (-5 + 2x) * 2 + -1(2x + 3)(2x + -3) = 4 Reorder the terms for easier multiplication: 2(-5 + 2x) + -1(2x + 3)(2x + -3) = 4 (-5 * 2 + 2x * 2) + -1(2x + 3)(2x + -3) = 4 (-10 + 4x) + -1(2x + 3)(2x + -3) = 4 Reorder the terms: -10 + 4x + -1(3 + 2x)(2x + -3) = 4 Reorder the terms: -10 + 4x + -1(3 + 2x)(-3 + 2x) = 4 Multiply (3 + 2x) * (-3 + 2x) -10 + 4x + -1(3(-3 + 2x) + 2x * (-3 + 2x)) = 4 -10 + 4x + -1((-3 * 3 + 2x * 3) + 2x * (-3 + 2x)) = 4 -10 + 4x + -1((-9 + 6x) + 2x * (-3 + 2x)) = 4 -10 + 4x + -1(-9 + 6x + (-3 * 2x + 2x * 2x)) = 4 -10 + 4x + -1(-9 + 6x + (-6x + 4x2)) = 4 Combine like terms: 6x + -6x = 0 -10 + 4x + -1(-9 + 0 + 4x2) = 4 -10 + 4x + -1(-9 + 4x2) = 4 -10 + 4x + (-9 * -1 + 4x2 * -1) = 4 -10 + 4x + (9 + -4x2) = 4 Reorder the terms: -10 + 9 + 4x + -4x2 = 4 Combine like terms: -10 + 9 = -1 -1 + 4x + -4x2 = 4 Solving -1 + 4x + -4x2 = 4 Solving for variable 'x'. Reorder the terms: -1 + -4 + 4x + -4x2 = 4 + -4 Combine like terms: -1 + -4 = -5 -5 + 4x + -4x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -5 + 4x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1.25 + -1x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -1x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -1x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1x + x2 = 0 + -1.25 -1x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -1x + x2 = -1.25 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.25 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.25 + 0.25 Combine like terms: -1.25 + 0.25 = -1 0.25 + -1x + x2 = -1 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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