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Simplifying (7x2 + -9x + 14) + -1(2x2 + 5x + -11) = 0 Reorder the terms: (14 + -9x + 7x2) + -1(2x2 + 5x + -11) = 0 Remove parenthesis around (14 + -9x + 7x2) 14 + -9x + 7x2 + -1(2x2 + 5x + -11) = 0 Reorder the terms: 14 + -9x + 7x2 + -1(-11 + 5x + 2x2) = 0 14 + -9x + 7x2 + (-11 * -1 + 5x * -1 + 2x2 * -1) = 0 14 + -9x + 7x2 + (11 + -5x + -2x2) = 0 Reorder the terms: 14 + 11 + -9x + -5x + 7x2 + -2x2 = 0 Combine like terms: 14 + 11 = 25 25 + -9x + -5x + 7x2 + -2x2 = 0 Combine like terms: -9x + -5x = -14x 25 + -14x + 7x2 + -2x2 = 0 Combine like terms: 7x2 + -2x2 = 5x2 25 + -14x + 5x2 = 0 Solving 25 + -14x + 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'. 5 + -2.8x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2.8x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -2.8x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.8x + x2 = 0 + -5 -2.8x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2.8x + x2 = -5 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 = -5 + 1.96 Reorder the terms: 1.96 + -2.8x + x2 = -5 + 1.96 Combine like terms: -5 + 1.96 = -3.04 1.96 + -2.8x + x2 = -3.04 Factor a perfect square on the left side: (x + -1.4)(x + -1.4) = -3.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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