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Simplifying (x + 1)(x + -3) = (x + 2)(x + 2) Reorder the terms: (1 + x)(x + -3) = (x + 2)(x + 2) Reorder the terms: (1 + x)(-3 + x) = (x + 2)(x + 2) Multiply (1 + x) * (-3 + x) (1(-3 + x) + x(-3 + x)) = (x + 2)(x + 2) ((-3 * 1 + x * 1) + x(-3 + x)) = (x + 2)(x + 2) ((-3 + 1x) + x(-3 + x)) = (x + 2)(x + 2) (-3 + 1x + (-3 * x + x * x)) = (x + 2)(x + 2) (-3 + 1x + (-3x + x2)) = (x + 2)(x + 2) Combine like terms: 1x + -3x = -2x (-3 + -2x + x2) = (x + 2)(x + 2) Reorder the terms: -3 + -2x + x2 = (2 + x)(x + 2) Reorder the terms: -3 + -2x + x2 = (2 + x)(2 + x) Multiply (2 + x) * (2 + x) -3 + -2x + x2 = (2(2 + x) + x(2 + x)) -3 + -2x + x2 = ((2 * 2 + x * 2) + x(2 + x)) -3 + -2x + x2 = ((4 + 2x) + x(2 + x)) -3 + -2x + x2 = (4 + 2x + (2 * x + x * x)) -3 + -2x + x2 = (4 + 2x + (2x + x2)) Combine like terms: 2x + 2x = 4x -3 + -2x + x2 = (4 + 4x + x2) Add '-1x2' to each side of the equation. -3 + -2x + x2 + -1x2 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -2x + 0 = 4 + 4x + x2 + -1x2 -3 + -2x = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -2x = 4 + 4x + 0 -3 + -2x = 4 + 4x Solving -3 + -2x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + -2x + -4x = 4 + 4x + -4x Combine like terms: -2x + -4x = -6x -3 + -6x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -6x = 4 + 0 -3 + -6x = 4 Add '3' to each side of the equation. -3 + 3 + -6x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 4 + 3 -6x = 4 + 3 Combine like terms: 4 + 3 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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