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Simplifying (2x2 + -10x + 12) + -1(x2 + -4x + -12) = 0 Reorder the terms: (12 + -10x + 2x2) + -1(x2 + -4x + -12) = 0 Remove parenthesis around (12 + -10x + 2x2) 12 + -10x + 2x2 + -1(x2 + -4x + -12) = 0 Reorder the terms: 12 + -10x + 2x2 + -1(-12 + -4x + x2) = 0 12 + -10x + 2x2 + (-12 * -1 + -4x * -1 + x2 * -1) = 0 12 + -10x + 2x2 + (12 + 4x + -1x2) = 0 Reorder the terms: 12 + 12 + -10x + 4x + 2x2 + -1x2 = 0 Combine like terms: 12 + 12 = 24 24 + -10x + 4x + 2x2 + -1x2 = 0 Combine like terms: -10x + 4x = -6x 24 + -6x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 24 + -6x + 1x2 = 0 Solving 24 + -6x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -6x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -6x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6x + x2 = 0 + -24 -6x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -6x + x2 = -24 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -24 + 9 Reorder the terms: 9 + -6x + x2 = -24 + 9 Combine like terms: -24 + 9 = -15 9 + -6x + x2 = -15 Factor a perfect square on the left side: (x + -3)(x + -3) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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