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Simplifying (9x2 + -2x + 7) + -1(5x2 + 4x) = 0 Reorder the terms: (7 + -2x + 9x2) + -1(5x2 + 4x) = 0 Remove parenthesis around (7 + -2x + 9x2) 7 + -2x + 9x2 + -1(5x2 + 4x) = 0 Reorder the terms: 7 + -2x + 9x2 + -1(4x + 5x2) = 0 7 + -2x + 9x2 + (4x * -1 + 5x2 * -1) = 0 7 + -2x + 9x2 + (-4x + -5x2) = 0 Reorder the terms: 7 + -2x + -4x + 9x2 + -5x2 = 0 Combine like terms: -2x + -4x = -6x 7 + -6x + 9x2 + -5x2 = 0 Combine like terms: 9x2 + -5x2 = 4x2 7 + -6x + 4x2 = 0 Solving 7 + -6x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + -1.5x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -1.5x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -1.5x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -1.5x + x2 = 0 + -1.75 -1.5x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -1.5x + x2 = -1.75 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -1.75 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -1.75 + 0.5625 Combine like terms: -1.75 + 0.5625 = -1.1875 0.5625 + -1.5x + x2 = -1.1875 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -1.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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