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Simplifying (2x)(2x) + -10x + 7 = 0 Remove parenthesis around (2x) 2x(2x) + -10x + 7 = 0 Remove parenthesis around (2x) 2x * 2x + -10x + 7 = 0 Reorder the terms for easier multiplication: 2 * 2x * x + -10x + 7 = 0 Multiply 2 * 2 4x * x + -10x + 7 = 0 Multiply x * x 4x2 + -10x + 7 = 0 Reorder the terms: 7 + -10x + 4x2 = 0 Solving 7 + -10x + 4x2 = 0 Solving for variable 'x'. 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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