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Simplifying (9x2 + 3x + -7) + -1(5x2 + 4x + -12) = 0 Reorder the terms: (-7 + 3x + 9x2) + -1(5x2 + 4x + -12) = 0 Remove parenthesis around (-7 + 3x + 9x2) -7 + 3x + 9x2 + -1(5x2 + 4x + -12) = 0 Reorder the terms: -7 + 3x + 9x2 + -1(-12 + 4x + 5x2) = 0 -7 + 3x + 9x2 + (-12 * -1 + 4x * -1 + 5x2 * -1) = 0 -7 + 3x + 9x2 + (12 + -4x + -5x2) = 0 Reorder the terms: -7 + 12 + 3x + -4x + 9x2 + -5x2 = 0 Combine like terms: -7 + 12 = 5 5 + 3x + -4x + 9x2 + -5x2 = 0 Combine like terms: 3x + -4x = -1x 5 + -1x + 9x2 + -5x2 = 0 Combine like terms: 9x2 + -5x2 = 4x2 5 + -1x + 4x2 = 0 Solving 5 + -1x + 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'. 1.25 + -0.25x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.25x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.25x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.25x + x2 = 0 + -1.25 -0.25x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.25x + x2 = -1.25 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -1.25 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -1.25 + 0.015625 Combine like terms: -1.25 + 0.015625 = -1.234375 0.015625 + -0.25x + x2 = -1.234375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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