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Simplifying 90x2 + 1 = 6x Reorder the terms: 1 + 90x2 = 6x Solving 1 + 90x2 = 6x Solving for variable 'x'. Reorder the terms: 1 + -6x + 90x2 = 6x + -6x Combine like terms: 6x + -6x = 0 1 + -6x + 90x2 = 0 Begin completing the square. Divide all terms by 90 the coefficient of the squared term: Divide each side by '90'. 0.01111111111 + -0.06666666667x + x2 = 0 Move the constant term to the right: Add '-0.01111111111' to each side of the equation. 0.01111111111 + -0.06666666667x + -0.01111111111 + x2 = 0 + -0.01111111111 Reorder the terms: 0.01111111111 + -0.01111111111 + -0.06666666667x + x2 = 0 + -0.01111111111 Combine like terms: 0.01111111111 + -0.01111111111 = 0.00000000000 0.00000000000 + -0.06666666667x + x2 = 0 + -0.01111111111 -0.06666666667x + x2 = 0 + -0.01111111111 Combine like terms: 0 + -0.01111111111 = -0.01111111111 -0.06666666667x + x2 = -0.01111111111 The x term is -0.06666666667x. Take half its coefficient (-0.03333333334). Square it (0.001111111112) and add it to both sides. Add '0.001111111112' to each side of the equation. -0.06666666667x + 0.001111111112 + x2 = -0.01111111111 + 0.001111111112 Reorder the terms: 0.001111111112 + -0.06666666667x + x2 = -0.01111111111 + 0.001111111112 Combine like terms: -0.01111111111 + 0.001111111112 = -0.009999999998 0.001111111112 + -0.06666666667x + x2 = -0.009999999998 Factor a perfect square on the left side: (x + -0.03333333334)(x + -0.03333333334) = -0.009999999998 Can't calculate square root of the right side. The solution to this equation could not be determined.
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