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Simplifying (x + -7)(x + -7) = -6 Reorder the terms: (-7 + x)(x + -7) = -6 Reorder the terms: (-7 + x)(-7 + x) = -6 Multiply (-7 + x) * (-7 + x) (-7(-7 + x) + x(-7 + x)) = -6 ((-7 * -7 + x * -7) + x(-7 + x)) = -6 ((49 + -7x) + x(-7 + x)) = -6 (49 + -7x + (-7 * x + x * x)) = -6 (49 + -7x + (-7x + x2)) = -6 Combine like terms: -7x + -7x = -14x (49 + -14x + x2) = -6 Solving 49 + -14x + x2 = -6 Solving for variable 'x'. Reorder the terms: 49 + 6 + -14x + x2 = -6 + 6 Combine like terms: 49 + 6 = 55 55 + -14x + x2 = -6 + 6 Combine like terms: -6 + 6 = 0 55 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-55' to each side of the equation. 55 + -14x + -55 + x2 = 0 + -55 Reorder the terms: 55 + -55 + -14x + x2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -14x + x2 = 0 + -55 -14x + x2 = 0 + -55 Combine like terms: 0 + -55 = -55 -14x + x2 = -55 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -55 + 49 Reorder the terms: 49 + -14x + x2 = -55 + 49 Combine like terms: -55 + 49 = -6 49 + -14x + x2 = -6 Factor a perfect square on the left side: (x + -7)(x + -7) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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