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Simplifying (3x2 + -7x + 6) + -1(2x2 + x + -12) = 0 Reorder the terms: (6 + -7x + 3x2) + -1(2x2 + x + -12) = 0 Remove parenthesis around (6 + -7x + 3x2) 6 + -7x + 3x2 + -1(2x2 + x + -12) = 0 Reorder the terms: 6 + -7x + 3x2 + -1(-12 + x + 2x2) = 0 6 + -7x + 3x2 + (-12 * -1 + x * -1 + 2x2 * -1) = 0 6 + -7x + 3x2 + (12 + -1x + -2x2) = 0 Reorder the terms: 6 + 12 + -7x + -1x + 3x2 + -2x2 = 0 Combine like terms: 6 + 12 = 18 18 + -7x + -1x + 3x2 + -2x2 = 0 Combine like terms: -7x + -1x = -8x 18 + -8x + 3x2 + -2x2 = 0 Combine like terms: 3x2 + -2x2 = 1x2 18 + -8x + 1x2 = 0 Solving 18 + -8x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -8x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8x + x2 = 0 + -18 -8x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8x + x2 = -18 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -18 + 16 Reorder the terms: 16 + -8x + x2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8x + x2 = -2 Factor a perfect square on the left side: (x + -4)(x + -4) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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