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Simplifying (x + 5)(x + -2) = 2(x + -2) + -18 Reorder the terms: (5 + x)(x + -2) = 2(x + -2) + -18 Reorder the terms: (5 + x)(-2 + x) = 2(x + -2) + -18 Multiply (5 + x) * (-2 + x) (5(-2 + x) + x(-2 + x)) = 2(x + -2) + -18 ((-2 * 5 + x * 5) + x(-2 + x)) = 2(x + -2) + -18 ((-10 + 5x) + x(-2 + x)) = 2(x + -2) + -18 (-10 + 5x + (-2 * x + x * x)) = 2(x + -2) + -18 (-10 + 5x + (-2x + x2)) = 2(x + -2) + -18 Combine like terms: 5x + -2x = 3x (-10 + 3x + x2) = 2(x + -2) + -18 Reorder the terms: -10 + 3x + x2 = 2(-2 + x) + -18 -10 + 3x + x2 = (-2 * 2 + x * 2) + -18 -10 + 3x + x2 = (-4 + 2x) + -18 Reorder the terms: -10 + 3x + x2 = -4 + -18 + 2x Combine like terms: -4 + -18 = -22 -10 + 3x + x2 = -22 + 2x Solving -10 + 3x + x2 = -22 + 2x Solving for variable 'x'. Reorder the terms: -10 + 22 + 3x + -2x + x2 = -22 + 2x + 22 + -2x Combine like terms: -10 + 22 = 12 12 + 3x + -2x + x2 = -22 + 2x + 22 + -2x Combine like terms: 3x + -2x = 1x 12 + 1x + x2 = -22 + 2x + 22 + -2x Reorder the terms: 12 + 1x + x2 = -22 + 22 + 2x + -2x Combine like terms: -22 + 22 = 0 12 + 1x + x2 = 0 + 2x + -2x 12 + 1x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 1x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 1x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1x + x2 = 0 + -12 1x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 1x + x2 = -12 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -12 + 0.25 Reorder the terms: 0.25 + x + x2 = -12 + 0.25 Combine like terms: -12 + 0.25 = -11.75 0.25 + x + x2 = -11.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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