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Simplifying (-4x2 + 2x + -10) + -1(-3x + 12) = 0 Reorder the terms: (-10 + 2x + -4x2) + -1(-3x + 12) = 0 Remove parenthesis around (-10 + 2x + -4x2) -10 + 2x + -4x2 + -1(-3x + 12) = 0 Reorder the terms: -10 + 2x + -4x2 + -1(12 + -3x) = 0 -10 + 2x + -4x2 + (12 * -1 + -3x * -1) = 0 -10 + 2x + -4x2 + (-12 + 3x) = 0 Reorder the terms: -10 + -12 + 2x + 3x + -4x2 = 0 Combine like terms: -10 + -12 = -22 -22 + 2x + 3x + -4x2 = 0 Combine like terms: 2x + 3x = 5x -22 + 5x + -4x2 = 0 Solving -22 + 5x + -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'. 5.5 + -1.25x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -1.25x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -1.25x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1.25x + x2 = 0 + -5.5 -1.25x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -1.25x + x2 = -5.5 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -5.5 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -5.5 + 0.390625 Combine like terms: -5.5 + 0.390625 = -5.109375 0.390625 + -1.25x + x2 = -5.109375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -5.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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