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Simplifying -2x(-4x + 1) = -5 + 7x Reorder the terms: -2x(1 + -4x) = -5 + 7x (1 * -2x + -4x * -2x) = -5 + 7x (-2x + 8x2) = -5 + 7x Solving -2x + 8x2 = -5 + 7x Solving for variable 'x'. Reorder the terms: 5 + -2x + -7x + 8x2 = -5 + 7x + 5 + -7x Combine like terms: -2x + -7x = -9x 5 + -9x + 8x2 = -5 + 7x + 5 + -7x Reorder the terms: 5 + -9x + 8x2 = -5 + 5 + 7x + -7x Combine like terms: -5 + 5 = 0 5 + -9x + 8x2 = 0 + 7x + -7x 5 + -9x + 8x2 = 7x + -7x Combine like terms: 7x + -7x = 0 5 + -9x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -1.125x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -1.125x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -1.125x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -1.125x + x2 = 0 + -0.625 -1.125x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -1.125x + x2 = -0.625 The x term is -1.125x. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125x + 0.31640625 + x2 = -0.625 + 0.31640625 Reorder the terms: 0.31640625 + -1.125x + x2 = -0.625 + 0.31640625 Combine like terms: -0.625 + 0.31640625 = -0.30859375 0.31640625 + -1.125x + x2 = -0.30859375 Factor a perfect square on the left side: (x + -0.5625)(x + -0.5625) = -0.30859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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