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Simplifying (x + -7)(x + -7) + 12 = 0 Reorder the terms: (-7 + x)(x + -7) + 12 = 0 Reorder the terms: (-7 + x)(-7 + x) + 12 = 0 Multiply (-7 + x) * (-7 + x) (-7(-7 + x) + x(-7 + x)) + 12 = 0 ((-7 * -7 + x * -7) + x(-7 + x)) + 12 = 0 ((49 + -7x) + x(-7 + x)) + 12 = 0 (49 + -7x + (-7 * x + x * x)) + 12 = 0 (49 + -7x + (-7x + x2)) + 12 = 0 Combine like terms: -7x + -7x = -14x (49 + -14x + x2) + 12 = 0 Reorder the terms: 49 + 12 + -14x + x2 = 0 Combine like terms: 49 + 12 = 61 61 + -14x + x2 = 0 Solving 61 + -14x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-61' to each side of the equation. 61 + -14x + -61 + x2 = 0 + -61 Reorder the terms: 61 + -61 + -14x + x2 = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -14x + x2 = 0 + -61 -14x + x2 = 0 + -61 Combine like terms: 0 + -61 = -61 -14x + x2 = -61 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 = -61 + 49 Reorder the terms: 49 + -14x + x2 = -61 + 49 Combine like terms: -61 + 49 = -12 49 + -14x + x2 = -12 Factor a perfect square on the left side: (x + -7)(x + -7) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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