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Simplifying (4x + -2)(4x + -2) + (5x)(5x) = 0 Reorder the terms: (-2 + 4x)(4x + -2) + (5x)(5x) = 0 Reorder the terms: (-2 + 4x)(-2 + 4x) + (5x)(5x) = 0 Multiply (-2 + 4x) * (-2 + 4x) (-2(-2 + 4x) + 4x * (-2 + 4x)) + (5x)(5x) = 0 ((-2 * -2 + 4x * -2) + 4x * (-2 + 4x)) + (5x)(5x) = 0 ((4 + -8x) + 4x * (-2 + 4x)) + (5x)(5x) = 0 (4 + -8x + (-2 * 4x + 4x * 4x)) + (5x)(5x) = 0 (4 + -8x + (-8x + 16x2)) + (5x)(5x) = 0 Combine like terms: -8x + -8x = -16x (4 + -16x + 16x2) + (5x)(5x) = 0 Remove parenthesis around (5x) 4 + -16x + 16x2 + 5x(5x) = 0 Remove parenthesis around (5x) 4 + -16x + 16x2 + 5x * 5x = 0 Reorder the terms for easier multiplication: 4 + -16x + 16x2 + 5 * 5x * x = 0 Multiply 5 * 5 4 + -16x + 16x2 + 25x * x = 0 Multiply x * x 4 + -16x + 16x2 + 25x2 = 0 Combine like terms: 16x2 + 25x2 = 41x2 4 + -16x + 41x2 = 0 Solving 4 + -16x + 41x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 41 the coefficient of the squared term: Divide each side by '41'. 0.09756097561 + -0.3902439024x + x2 = 0 Move the constant term to the right: Add '-0.09756097561' to each side of the equation. 0.09756097561 + -0.3902439024x + -0.09756097561 + x2 = 0 + -0.09756097561 Reorder the terms: 0.09756097561 + -0.09756097561 + -0.3902439024x + x2 = 0 + -0.09756097561 Combine like terms: 0.09756097561 + -0.09756097561 = 0.00000000000 0.00000000000 + -0.3902439024x + x2 = 0 + -0.09756097561 -0.3902439024x + x2 = 0 + -0.09756097561 Combine like terms: 0 + -0.09756097561 = -0.09756097561 -0.3902439024x + x2 = -0.09756097561 The x term is -0.3902439024x. Take half its coefficient (-0.1951219512). Square it (0.03807257584) and add it to both sides. Add '0.03807257584' to each side of the equation. -0.3902439024x + 0.03807257584 + x2 = -0.09756097561 + 0.03807257584 Reorder the terms: 0.03807257584 + -0.3902439024x + x2 = -0.09756097561 + 0.03807257584 Combine like terms: -0.09756097561 + 0.03807257584 = -0.05948839977 0.03807257584 + -0.3902439024x + x2 = -0.05948839977 Factor a perfect square on the left side: (x + -0.1951219512)(x + -0.1951219512) = -0.05948839977 Can't calculate square root of the right side. The solution to this equation could not be determined.
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