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Simplifying 5x(x + -1) + -2(2x + -7x) = -8 Reorder the terms: 5x(-1 + x) + -2(2x + -7x) = -8 (-1 * 5x + x * 5x) + -2(2x + -7x) = -8 (-5x + 5x2) + -2(2x + -7x) = -8 Combine like terms: 2x + -7x = -5x -5x + 5x2 + -2(-5x) = -8 Remove parenthesis around (-5x) -5x + 5x2 + -2 * -5x = -8 Multiply -2 * -5 -5x + 5x2 + 10x = -8 Reorder the terms: -5x + 10x + 5x2 = -8 Combine like terms: -5x + 10x = 5x 5x + 5x2 = -8 Solving 5x + 5x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + 5x + 5x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 5x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + x + x2 = 0 + -1.6 x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 x + x2 = -1.6 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -1.6 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -1.6 + 0.25 Combine like terms: -1.6 + 0.25 = -1.35 1.25 + x2 = -1.35 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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