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Simplifying (9x2 + 2x + 3) + -1(4x2 + 3x + -7) = 0 Reorder the terms: (3 + 2x + 9x2) + -1(4x2 + 3x + -7) = 0 Remove parenthesis around (3 + 2x + 9x2) 3 + 2x + 9x2 + -1(4x2 + 3x + -7) = 0 Reorder the terms: 3 + 2x + 9x2 + -1(-7 + 3x + 4x2) = 0 3 + 2x + 9x2 + (-7 * -1 + 3x * -1 + 4x2 * -1) = 0 3 + 2x + 9x2 + (7 + -3x + -4x2) = 0 Reorder the terms: 3 + 7 + 2x + -3x + 9x2 + -4x2 = 0 Combine like terms: 3 + 7 = 10 10 + 2x + -3x + 9x2 + -4x2 = 0 Combine like terms: 2x + -3x = -1x 10 + -1x + 9x2 + -4x2 = 0 Combine like terms: 9x2 + -4x2 = 5x2 10 + -1x + 5x2 = 0 Solving 10 + -1x + 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 + -0.2x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.2x + x2 = 0 + -2 -0.2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.2x + x2 = -2 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -2 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -2 + 0.01 Combine like terms: -2 + 0.01 = -1.99 0.01 + -0.2x + x2 = -1.99 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -1.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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