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Simplifying (x + 3)(x + -1) = (x + 4)(x + -3) Reorder the terms: (3 + x)(x + -1) = (x + 4)(x + -3) Reorder the terms: (3 + x)(-1 + x) = (x + 4)(x + -3) Multiply (3 + x) * (-1 + x) (3(-1 + x) + x(-1 + x)) = (x + 4)(x + -3) ((-1 * 3 + x * 3) + x(-1 + x)) = (x + 4)(x + -3) ((-3 + 3x) + x(-1 + x)) = (x + 4)(x + -3) (-3 + 3x + (-1 * x + x * x)) = (x + 4)(x + -3) (-3 + 3x + (-1x + x2)) = (x + 4)(x + -3) Combine like terms: 3x + -1x = 2x (-3 + 2x + x2) = (x + 4)(x + -3) Reorder the terms: -3 + 2x + x2 = (4 + x)(x + -3) Reorder the terms: -3 + 2x + x2 = (4 + x)(-3 + x) Multiply (4 + x) * (-3 + x) -3 + 2x + x2 = (4(-3 + x) + x(-3 + x)) -3 + 2x + x2 = ((-3 * 4 + x * 4) + x(-3 + x)) -3 + 2x + x2 = ((-12 + 4x) + x(-3 + x)) -3 + 2x + x2 = (-12 + 4x + (-3 * x + x * x)) -3 + 2x + x2 = (-12 + 4x + (-3x + x2)) Combine like terms: 4x + -3x = 1x -3 + 2x + x2 = (-12 + 1x + x2) Add '-1x2' to each side of the equation. -3 + 2x + x2 + -1x2 = -12 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x + 0 = -12 + 1x + x2 + -1x2 -3 + 2x = -12 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x = -12 + 1x + 0 -3 + 2x = -12 + 1x Solving -3 + 2x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 2x + -1x = -12 + 1x + -1x Combine like terms: 2x + -1x = 1x -3 + 1x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 1x = -12 + 0 -3 + 1x = -12 Add '3' to each side of the equation. -3 + 3 + 1x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -12 + 3 1x = -12 + 3 Combine like terms: -12 + 3 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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