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Simplifying (x + -7)(x + -7) = -3x Reorder the terms: (-7 + x)(x + -7) = -3x Reorder the terms: (-7 + x)(-7 + x) = -3x Multiply (-7 + x) * (-7 + x) (-7(-7 + x) + x(-7 + x)) = -3x ((-7 * -7 + x * -7) + x(-7 + x)) = -3x ((49 + -7x) + x(-7 + x)) = -3x (49 + -7x + (-7 * x + x * x)) = -3x (49 + -7x + (-7x + x2)) = -3x Combine like terms: -7x + -7x = -14x (49 + -14x + x2) = -3x Solving 49 + -14x + x2 = -3x Solving for variable 'x'. Reorder the terms: 49 + -14x + 3x + x2 = -3x + 3x Combine like terms: -14x + 3x = -11x 49 + -11x + x2 = -3x + 3x Combine like terms: -3x + 3x = 0 49 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + -11x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + -11x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -11x + x2 = 0 + -49 -11x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -11x + x2 = -49 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -49 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -49 + 30.25 Combine like terms: -49 + 30.25 = -18.75 30.25 + -11x + x2 = -18.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -18.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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