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Simplifying 5x2 + 5 = x + 4 Reorder the terms: 5 + 5x2 = x + 4 Reorder the terms: 5 + 5x2 = 4 + x Solving 5 + 5x2 = 4 + x Solving for variable 'x'. Reorder the terms: 5 + -4 + -1x + 5x2 = 4 + x + -4 + -1x Combine like terms: 5 + -4 = 1 1 + -1x + 5x2 = 4 + x + -4 + -1x Reorder the terms: 1 + -1x + 5x2 = 4 + -4 + x + -1x Combine like terms: 4 + -4 = 0 1 + -1x + 5x2 = 0 + x + -1x 1 + -1x + 5x2 = x + -1x Combine like terms: x + -1x = 0 1 + -1x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.2 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.2x + -0.2 + x2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.2x + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.2x + x2 = 0 + -0.2 -0.2x + x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.2x + x2 = -0.2 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -0.2 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.2 + 0.01 Combine like terms: -0.2 + 0.01 = -0.19 0.01 + -0.2x + x2 = -0.19 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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