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Simplifying (x + -3)(x + -1) = (x + 3)(x + -4) Reorder the terms: (-3 + x)(x + -1) = (x + 3)(x + -4) Reorder the terms: (-3 + x)(-1 + x) = (x + 3)(x + -4) Multiply (-3 + x) * (-1 + x) (-3(-1 + x) + x(-1 + x)) = (x + 3)(x + -4) ((-1 * -3 + x * -3) + x(-1 + x)) = (x + 3)(x + -4) ((3 + -3x) + x(-1 + x)) = (x + 3)(x + -4) (3 + -3x + (-1 * x + x * x)) = (x + 3)(x + -4) (3 + -3x + (-1x + x2)) = (x + 3)(x + -4) Combine like terms: -3x + -1x = -4x (3 + -4x + x2) = (x + 3)(x + -4) Reorder the terms: 3 + -4x + x2 = (3 + x)(x + -4) Reorder the terms: 3 + -4x + x2 = (3 + x)(-4 + x) Multiply (3 + x) * (-4 + x) 3 + -4x + x2 = (3(-4 + x) + x(-4 + x)) 3 + -4x + x2 = ((-4 * 3 + x * 3) + x(-4 + x)) 3 + -4x + x2 = ((-12 + 3x) + x(-4 + x)) 3 + -4x + x2 = (-12 + 3x + (-4 * x + x * x)) 3 + -4x + x2 = (-12 + 3x + (-4x + x2)) Combine like terms: 3x + -4x = -1x 3 + -4x + x2 = (-12 + -1x + x2) Add '-1x2' to each side of the equation. 3 + -4x + x2 + -1x2 = -12 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + -4x + 0 = -12 + -1x + x2 + -1x2 3 + -4x = -12 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + -4x = -12 + -1x + 0 3 + -4x = -12 + -1x Solving 3 + -4x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -4x + x = -12 + -1x + x Combine like terms: -4x + x = -3x 3 + -3x = -12 + -1x + x Combine like terms: -1x + x = 0 3 + -3x = -12 + 0 3 + -3x = -12 Add '-3' to each side of the equation. 3 + -3 + -3x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -12 + -3 -3x = -12 + -3 Combine like terms: -12 + -3 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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