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Simplifying (2x + -7) + -1(3x + 5) = 5x(x + -3) Reorder the terms: (-7 + 2x) + -1(3x + 5) = 5x(x + -3) Remove parenthesis around (-7 + 2x) -7 + 2x + -1(3x + 5) = 5x(x + -3) Reorder the terms: -7 + 2x + -1(5 + 3x) = 5x(x + -3) -7 + 2x + (5 * -1 + 3x * -1) = 5x(x + -3) -7 + 2x + (-5 + -3x) = 5x(x + -3) Reorder the terms: -7 + -5 + 2x + -3x = 5x(x + -3) Combine like terms: -7 + -5 = -12 -12 + 2x + -3x = 5x(x + -3) Combine like terms: 2x + -3x = -1x -12 + -1x = 5x(x + -3) Reorder the terms: -12 + -1x = 5x(-3 + x) -12 + -1x = (-3 * 5x + x * 5x) -12 + -1x = (-15x + 5x2) Solving -12 + -1x = -15x + 5x2 Solving for variable 'x'. Combine like terms: -1x + 15x = 14x -12 + 14x + -5x2 = -15x + 5x2 + 15x + -5x2 Reorder the terms: -12 + 14x + -5x2 = -15x + 15x + 5x2 + -5x2 Combine like terms: -15x + 15x = 0 -12 + 14x + -5x2 = 0 + 5x2 + -5x2 -12 + 14x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -12 + 14x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2.4 + -2.8x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -2.8x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -2.8x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -2.8x + x2 = 0 + -2.4 -2.8x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -2.8x + x2 = -2.4 The x term is -2.8x. Take half its coefficient (-1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. -2.8x + 1.96 + x2 = -2.4 + 1.96 Reorder the terms: 1.96 + -2.8x + x2 = -2.4 + 1.96 Combine like terms: -2.4 + 1.96 = -0.44 1.96 + -2.8x + x2 = -0.44 Factor a perfect square on the left side: (x + -1.4)(x + -1.4) = -0.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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