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Simplifying (-7x2 + -4x) + (x2 + 8x + -5) = 0 Reorder the terms: (-4x + -7x2) + (x2 + 8x + -5) = 0 Remove parenthesis around (-4x + -7x2) -4x + -7x2 + (x2 + 8x + -5) = 0 Reorder the terms: -4x + -7x2 + (-5 + 8x + x2) = 0 Remove parenthesis around (-5 + 8x + x2) -4x + -7x2 + -5 + 8x + x2 = 0 Reorder the terms: -5 + -4x + 8x + -7x2 + x2 = 0 Combine like terms: -4x + 8x = 4x -5 + 4x + -7x2 + x2 = 0 Combine like terms: -7x2 + x2 = -6x2 -5 + 4x + -6x2 = 0 Solving -5 + 4x + -6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 0.8333333333 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -0.6666666667x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -0.6666666667x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + -0.8333333333 -0.6666666667x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -0.6666666667x + x2 = -0.8333333333 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -0.8333333333 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.8333333333 + 0.1111111112 Combine like terms: -0.8333333333 + 0.1111111112 = -0.7222222221 0.1111111112 + -0.6666666667x + x2 = -0.7222222221 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.7222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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