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Simplifying 4x + -2x(2x + -3) = 7 Reorder the terms: 4x + -2x(-3 + 2x) = 7 4x + (-3 * -2x + 2x * -2x) = 7 4x + (6x + -4x2) = 7 Combine like terms: 4x + 6x = 10x 10x + -4x2 = 7 Solving 10x + -4x2 = 7 Solving for variable 'x'. Reorder the terms: -7 + 10x + -4x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 10x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1.75 + -2.5x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -2.5x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -2.5x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -2.5x + x2 = 0 + -1.75 -2.5x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -2.5x + x2 = -1.75 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -1.75 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -1.75 + 1.5625 Combine like terms: -1.75 + 1.5625 = -0.1875 1.5625 + -2.5x + x2 = -0.1875 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -0.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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