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Simplifying (x + 4)(x + 15) = 6x Reorder the terms: (4 + x)(x + 15) = 6x Reorder the terms: (4 + x)(15 + x) = 6x Multiply (4 + x) * (15 + x) (4(15 + x) + x(15 + x)) = 6x ((15 * 4 + x * 4) + x(15 + x)) = 6x ((60 + 4x) + x(15 + x)) = 6x (60 + 4x + (15 * x + x * x)) = 6x (60 + 4x + (15x + x2)) = 6x Combine like terms: 4x + 15x = 19x (60 + 19x + x2) = 6x Solving 60 + 19x + x2 = 6x Solving for variable 'x'. Reorder the terms: 60 + 19x + -6x + x2 = 6x + -6x Combine like terms: 19x + -6x = 13x 60 + 13x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 60 + 13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 13x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + 13x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 13x + x2 = 0 + -60 13x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 13x + x2 = -60 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 = -60 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -60 + 42.25 Combine like terms: -60 + 42.25 = -17.75 42.25 + 13x + x2 = -17.75 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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