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Simplifying 90x2 + 1 = 18x Reorder the terms: 1 + 90x2 = 18x Solving 1 + 90x2 = 18x Solving for variable 'x'. Reorder the terms: 1 + -18x + 90x2 = 18x + -18x Combine like terms: 18x + -18x = 0 1 + -18x + 90x2 = 0 Begin completing the square. Divide all terms by 90 the coefficient of the squared term: Divide each side by '90'. 0.01111111111 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.01111111111' to each side of the equation. 0.01111111111 + -0.2x + -0.01111111111 + x2 = 0 + -0.01111111111 Reorder the terms: 0.01111111111 + -0.01111111111 + -0.2x + x2 = 0 + -0.01111111111 Combine like terms: 0.01111111111 + -0.01111111111 = 0.00000000000 0.00000000000 + -0.2x + x2 = 0 + -0.01111111111 -0.2x + x2 = 0 + -0.01111111111 Combine like terms: 0 + -0.01111111111 = -0.01111111111 -0.2x + x2 = -0.01111111111 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 = -0.01111111111 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.01111111111 + 0.01 Combine like terms: -0.01111111111 + 0.01 = -0.00111111111 0.01 + -0.2x + x2 = -0.00111111111 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.00111111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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