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Simplifying x(x + -7) = x + -19 Reorder the terms: x(-7 + x) = x + -19 (-7 * x + x * x) = x + -19 (-7x + x2) = x + -19 Reorder the terms: -7x + x2 = -19 + x Solving -7x + x2 = -19 + x Solving for variable 'x'. Reorder the terms: 19 + -7x + -1x + x2 = -19 + x + 19 + -1x Combine like terms: -7x + -1x = -8x 19 + -8x + x2 = -19 + x + 19 + -1x Reorder the terms: 19 + -8x + x2 = -19 + 19 + x + -1x Combine like terms: -19 + 19 = 0 19 + -8x + x2 = 0 + x + -1x 19 + -8x + x2 = x + -1x Combine like terms: x + -1x = 0 19 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -8x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + -8x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8x + x2 = 0 + -19 -8x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -8x + x2 = -19 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 = -19 + 16 Reorder the terms: 16 + -8x + x2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + -8x + x2 = -3 Factor a perfect square on the left side: (x + -4)(x + -4) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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