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Simplifying x * x + -1x * 6 + -7x + -1(-6) * 9 = 0 Multiply x * x x2 + -1x * 6 + -7x + -1(-6) * 9 = 0 Reorder the terms for easier multiplication: x2 + -1 * 6x + -7x + -1(-6) * 9 = 0 Multiply -1 * 6 x2 + -6x + -7x + -1(-6) * 9 = 0 Multiply -1 * -6 x2 + -6x + -7x + 6 * 9 = 0 Multiply 6 * 9 x2 + -6x + -7x + 54 = 0 Reorder the terms: 54 + -6x + -7x + x2 = 0 Combine like terms: -6x + -7x = -13x 54 + -13x + x2 = 0 Solving 54 + -13x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-54' to each side of the equation. 54 + -13x + -54 + x2 = 0 + -54 Reorder the terms: 54 + -54 + -13x + x2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -13x + x2 = 0 + -54 -13x + x2 = 0 + -54 Combine like terms: 0 + -54 = -54 -13x + x2 = -54 The x term is -13x. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x + 42.25 + x2 = -54 + 42.25 Reorder the terms: 42.25 + -13x + x2 = -54 + 42.25 Combine like terms: -54 + 42.25 = -11.75 42.25 + -13x + x2 = -11.75 Factor a perfect square on the left side: (x + -6.5)(x + -6.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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