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Simplifying 7x + -2x(3 + 4x) = 19 7x + (3 * -2x + 4x * -2x) = 19 7x + (-6x + -8x2) = 19 Combine like terms: 7x + -6x = 1x 1x + -8x2 = 19 Solving 1x + -8x2 = 19 Solving for variable 'x'. Reorder the terms: -19 + 1x + -8x2 = 19 + -19 Combine like terms: 19 + -19 = 0 -19 + 1x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 2.375 + -0.125x + x2 = 0 Move the constant term to the right: Add '-2.375' to each side of the equation. 2.375 + -0.125x + -2.375 + x2 = 0 + -2.375 Reorder the terms: 2.375 + -2.375 + -0.125x + x2 = 0 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + -0.125x + x2 = 0 + -2.375 -0.125x + x2 = 0 + -2.375 Combine like terms: 0 + -2.375 = -2.375 -0.125x + x2 = -2.375 The x term is -0.125x. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125x + 0.00390625 + x2 = -2.375 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -2.375 + 0.00390625 Combine like terms: -2.375 + 0.00390625 = -2.37109375 0.00390625 + -0.125x + x2 = -2.37109375 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -2.37109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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