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Simplifying (X + 6)(x + -3) = x(x + 1) Reorder the terms: (6 + X)(x + -3) = x(x + 1) Reorder the terms: (6 + X)(-3 + x) = x(x + 1) Multiply (6 + X) * (-3 + x) (6(-3 + x) + X(-3 + x)) = x(x + 1) ((-3 * 6 + x * 6) + X(-3 + x)) = x(x + 1) ((-18 + 6x) + X(-3 + x)) = x(x + 1) (-18 + 6x + (-3 * X + x * X)) = x(x + 1) (-18 + 6x + (-3X + xX)) = x(x + 1) Reorder the terms: (-18 + -3X + 6x + xX) = x(x + 1) (-18 + -3X + 6x + xX) = x(x + 1) Reorder the terms: -18 + -3X + 6x + xX = x(1 + x) -18 + -3X + 6x + xX = (1 * x + x * x) -18 + -3X + 6x + xX = (1x + x2) Solving -18 + -3X + 6x + xX = 1x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -3X + 6x + 18 + xX = 1x + 18 + x2 Reorder the terms: -18 + 18 + -3X + 6x + xX = 1x + 18 + x2 Combine like terms: -18 + 18 = 0 0 + -3X + 6x + xX = 1x + 18 + x2 -3X + 6x + xX = 1x + 18 + x2 Reorder the terms: -3X + 6x + xX = 18 + 1x + x2 Add '-6x' to each side of the equation. -3X + 6x + -6x + xX = 18 + 1x + -6x + x2 Combine like terms: 6x + -6x = 0 -3X + 0 + xX = 18 + 1x + -6x + x2 -3X + xX = 18 + 1x + -6x + x2 Combine like terms: 1x + -6x = -5x -3X + xX = 18 + -5x + x2 Reorder the terms: -18 + -3X + 5x + xX + -1x2 = 18 + -5x + x2 + -18 + 5x + -1x2 Reorder the terms: -18 + -3X + 5x + xX + -1x2 = 18 + -18 + -5x + 5x + x2 + -1x2 Combine like terms: 18 + -18 = 0 -18 + -3X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2 -18 + -3X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 -18 + -3X + 5x + xX + -1x2 = 0 + x2 + -1x2 -18 + -3X + 5x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -3X + 5x + xX + -1x2 = 0 The solution to this equation could not be determined.
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