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Simplifying (14x2 + -5x + 3) + -1(2x2 + 3x + -4) = 0 Reorder the terms: (3 + -5x + 14x2) + -1(2x2 + 3x + -4) = 0 Remove parenthesis around (3 + -5x + 14x2) 3 + -5x + 14x2 + -1(2x2 + 3x + -4) = 0 Reorder the terms: 3 + -5x + 14x2 + -1(-4 + 3x + 2x2) = 0 3 + -5x + 14x2 + (-4 * -1 + 3x * -1 + 2x2 * -1) = 0 3 + -5x + 14x2 + (4 + -3x + -2x2) = 0 Reorder the terms: 3 + 4 + -5x + -3x + 14x2 + -2x2 = 0 Combine like terms: 3 + 4 = 7 7 + -5x + -3x + 14x2 + -2x2 = 0 Combine like terms: -5x + -3x = -8x 7 + -8x + 14x2 + -2x2 = 0 Combine like terms: 14x2 + -2x2 = 12x2 7 + -8x + 12x2 = 0 Solving 7 + -8x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5833333333 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + -0.6666666667x + -0.5833333333 + x2 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + -0.6666666667x + x2 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + -0.5833333333 -0.6666666667x + x2 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 -0.6666666667x + x2 = -0.5833333333 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 = -0.5833333333 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.5833333333 + 0.1111111112 Combine like terms: -0.5833333333 + 0.1111111112 = -0.4722222221 0.1111111112 + -0.6666666667x + x2 = -0.4722222221 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.4722222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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