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Simplifying (5x2 + -2x + 5) + -1(2x + 3x + -7) = 0 Reorder the terms: (5 + -2x + 5x2) + -1(2x + 3x + -7) = 0 Remove parenthesis around (5 + -2x + 5x2) 5 + -2x + 5x2 + -1(2x + 3x + -7) = 0 Reorder the terms: 5 + -2x + 5x2 + -1(-7 + 2x + 3x) = 0 Combine like terms: 2x + 3x = 5x 5 + -2x + 5x2 + -1(-7 + 5x) = 0 5 + -2x + 5x2 + (-7 * -1 + 5x * -1) = 0 5 + -2x + 5x2 + (7 + -5x) = 0 Reorder the terms: 5 + 7 + -2x + -5x + 5x2 = 0 Combine like terms: 5 + 7 = 12 12 + -2x + -5x + 5x2 = 0 Combine like terms: -2x + -5x = -7x 12 + -7x + 5x2 = 0 Solving 12 + -7x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.4 + -1.4x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -1.4x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -1.4x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -1.4x + x2 = 0 + -2.4 -1.4x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -1.4x + x2 = -2.4 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -2.4 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -2.4 + 0.49 Combine like terms: -2.4 + 0.49 = -1.91 0.49 + -1.4x + x2 = -1.91 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -1.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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