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Simplifying (x + -4)(x + -9) + 5x = 0 Reorder the terms: (-4 + x)(x + -9) + 5x = 0 Reorder the terms: (-4 + x)(-9 + x) + 5x = 0 Multiply (-4 + x) * (-9 + x) (-4(-9 + x) + x(-9 + x)) + 5x = 0 ((-9 * -4 + x * -4) + x(-9 + x)) + 5x = 0 ((36 + -4x) + x(-9 + x)) + 5x = 0 (36 + -4x + (-9 * x + x * x)) + 5x = 0 (36 + -4x + (-9x + x2)) + 5x = 0 Combine like terms: -4x + -9x = -13x (36 + -13x + x2) + 5x = 0 Reorder the terms: 36 + -13x + 5x + x2 = 0 Combine like terms: -13x + 5x = -8x 36 + -8x + x2 = 0 Solving 36 + -8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -8x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -8x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -8x + x2 = 0 + -36 -8x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -8x + x2 = -36 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -36 + 16 Reorder the terms: 16 + -8x + x2 = -36 + 16 Combine like terms: -36 + 16 = -20 16 + -8x + x2 = -20 Factor a perfect square on the left side: (x + -4)(x + -4) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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