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Simplifying x * x + -7 = 2(x + x + -7) Multiply x * x x2 + -7 = 2(x + x + -7) Reorder the terms: -7 + x2 = 2(x + x + -7) Reorder the terms: -7 + x2 = 2(-7 + x + x) Combine like terms: x + x = 2x -7 + x2 = 2(-7 + 2x) -7 + x2 = (-7 * 2 + 2x * 2) -7 + x2 = (-14 + 4x) Solving -7 + x2 = -14 + 4x Solving for variable 'x'. Reorder the terms: -7 + 14 + -4x + x2 = -14 + 4x + 14 + -4x Combine like terms: -7 + 14 = 7 7 + -4x + x2 = -14 + 4x + 14 + -4x Reorder the terms: 7 + -4x + x2 = -14 + 14 + 4x + -4x Combine like terms: -14 + 14 = 0 7 + -4x + x2 = 0 + 4x + -4x 7 + -4x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 7 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -4x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -4x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x + x2 = 0 + -7 -4x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -4x + x2 = -7 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -7 + 4 Reorder the terms: 4 + -4x + x2 = -7 + 4 Combine like terms: -7 + 4 = -3 4 + -4x + x2 = -3 Factor a perfect square on the left side: (x + -2)(x + -2) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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