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Simplifying 1x + -18 = 18 + 5x * x Reorder the terms: -18 + 1x = 18 + 5x * x Multiply x * x -18 + 1x = 18 + 5x2 Solving -18 + 1x = 18 + 5x2 Solving for variable 'x'. Reorder the terms: -18 + -18 + 1x + -5x2 = 18 + 5x2 + -18 + -5x2 Combine like terms: -18 + -18 = -36 -36 + 1x + -5x2 = 18 + 5x2 + -18 + -5x2 Reorder the terms: -36 + 1x + -5x2 = 18 + -18 + 5x2 + -5x2 Combine like terms: 18 + -18 = 0 -36 + 1x + -5x2 = 0 + 5x2 + -5x2 -36 + 1x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -36 + 1x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 7.2 + -0.2x + x2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + -0.2x + -7.2 + x2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + -0.2x + x2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.2x + x2 = 0 + -7.2 -0.2x + x2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 -0.2x + x2 = -7.2 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 = -7.2 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -7.2 + 0.01 Combine like terms: -7.2 + 0.01 = -7.19 0.01 + -0.2x + x2 = -7.19 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -7.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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