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Simplifying 5x(x) + 75 + 5 = 2x + 52 Multiply x * x 5x2 + 75 + 5 = 2x + 52 Reorder the terms: 75 + 5 + 5x2 = 2x + 52 Combine like terms: 75 + 5 = 80 80 + 5x2 = 2x + 52 Reorder the terms: 80 + 5x2 = 52 + 2x Solving 80 + 5x2 = 52 + 2x Solving for variable 'x'. Reorder the terms: 80 + -52 + -2x + 5x2 = 52 + 2x + -52 + -2x Combine like terms: 80 + -52 = 28 28 + -2x + 5x2 = 52 + 2x + -52 + -2x Reorder the terms: 28 + -2x + 5x2 = 52 + -52 + 2x + -2x Combine like terms: 52 + -52 = 0 28 + -2x + 5x2 = 0 + 2x + -2x 28 + -2x + 5x2 = 2x + -2x Combine like terms: 2x + -2x = 0 28 + -2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5.6 + -0.4x + x2 = 0 Move the constant term to the right: Add '-5.6' to each side of the equation. 5.6 + -0.4x + -5.6 + x2 = 0 + -5.6 Reorder the terms: 5.6 + -5.6 + -0.4x + x2 = 0 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -0.4x + x2 = 0 + -5.6 -0.4x + x2 = 0 + -5.6 Combine like terms: 0 + -5.6 = -5.6 -0.4x + x2 = -5.6 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -5.6 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -5.6 + 0.04 Combine like terms: -5.6 + 0.04 = -5.56 0.04 + -0.4x + x2 = -5.56 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -5.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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