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Simplifying -0.59x2 + 0.3(x + -2) = 0.19(1 + -1x) Reorder the terms: -0.59x2 + 0.3(-2 + x) = 0.19(1 + -1x) -0.59x2 + (-2 * 0.3 + x * 0.3) = 0.19(1 + -1x) -0.59x2 + (-0.6 + 0.3x) = 0.19(1 + -1x) Reorder the terms: -0.6 + 0.3x + -0.59x2 = 0.19(1 + -1x) -0.6 + 0.3x + -0.59x2 = (1 * 0.19 + -1x * 0.19) -0.6 + 0.3x + -0.59x2 = (0.19 + -0.19x) Solving -0.6 + 0.3x + -0.59x2 = 0.19 + -0.19x Solving for variable 'x'. Reorder the terms: -0.6 + -0.19 + 0.3x + 0.19x + -0.59x2 = 0.19 + -0.19x + -0.19 + 0.19x Combine like terms: -0.6 + -0.19 = -0.79 -0.79 + 0.3x + 0.19x + -0.59x2 = 0.19 + -0.19x + -0.19 + 0.19x Combine like terms: 0.3x + 0.19x = 0.49x -0.79 + 0.49x + -0.59x2 = 0.19 + -0.19x + -0.19 + 0.19x Reorder the terms: -0.79 + 0.49x + -0.59x2 = 0.19 + -0.19 + -0.19x + 0.19x Combine like terms: 0.19 + -0.19 = 0.00 -0.79 + 0.49x + -0.59x2 = 0.00 + -0.19x + 0.19x -0.79 + 0.49x + -0.59x2 = -0.19x + 0.19x Combine like terms: -0.19x + 0.19x = 0.00 -0.79 + 0.49x + -0.59x2 = 0.00 Begin completing the square. Divide all terms by -0.59 the coefficient of the squared term: Divide each side by '-0.59'. 1.338983051 + -0.8305084746x + x2 = 0 Move the constant term to the right: Add '-1.338983051' to each side of the equation. 1.338983051 + -0.8305084746x + -1.338983051 + x2 = 0 + -1.338983051 Reorder the terms: 1.338983051 + -1.338983051 + -0.8305084746x + x2 = 0 + -1.338983051 Combine like terms: 1.338983051 + -1.338983051 = 0.000000000 0.000000000 + -0.8305084746x + x2 = 0 + -1.338983051 -0.8305084746x + x2 = 0 + -1.338983051 Combine like terms: 0 + -1.338983051 = -1.338983051 -0.8305084746x + x2 = -1.338983051 The x term is -0.8305084746x. Take half its coefficient (-0.4152542373). Square it (0.1724360816) and add it to both sides. Add '0.1724360816' to each side of the equation. -0.8305084746x + 0.1724360816 + x2 = -1.338983051 + 0.1724360816 Reorder the terms: 0.1724360816 + -0.8305084746x + x2 = -1.338983051 + 0.1724360816 Combine like terms: -1.338983051 + 0.1724360816 = -1.1665469694 0.1724360816 + -0.8305084746x + x2 = -1.1665469694 Factor a perfect square on the left side: (x + -0.4152542373)(x + -0.4152542373) = -1.1665469694 Can't calculate square root of the right side. The solution to this equation could not be determined.
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