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Simplifying (x + -2)(x + 2) + 3x = (4 + x)(x + -4) Reorder the terms: (-2 + x)(x + 2) + 3x = (4 + x)(x + -4) Reorder the terms: (-2 + x)(2 + x) + 3x = (4 + x)(x + -4) Multiply (-2 + x) * (2 + x) (-2(2 + x) + x(2 + x)) + 3x = (4 + x)(x + -4) ((2 * -2 + x * -2) + x(2 + x)) + 3x = (4 + x)(x + -4) ((-4 + -2x) + x(2 + x)) + 3x = (4 + x)(x + -4) (-4 + -2x + (2 * x + x * x)) + 3x = (4 + x)(x + -4) (-4 + -2x + (2x + x2)) + 3x = (4 + x)(x + -4) Combine like terms: -2x + 2x = 0 (-4 + 0 + x2) + 3x = (4 + x)(x + -4) (-4 + x2) + 3x = (4 + x)(x + -4) Reorder the terms: -4 + 3x + x2 = (4 + x)(x + -4) Reorder the terms: -4 + 3x + x2 = (4 + x)(-4 + x) Multiply (4 + x) * (-4 + x) -4 + 3x + x2 = (4(-4 + x) + x(-4 + x)) -4 + 3x + x2 = ((-4 * 4 + x * 4) + x(-4 + x)) -4 + 3x + x2 = ((-16 + 4x) + x(-4 + x)) -4 + 3x + x2 = (-16 + 4x + (-4 * x + x * x)) -4 + 3x + x2 = (-16 + 4x + (-4x + x2)) Combine like terms: 4x + -4x = 0 -4 + 3x + x2 = (-16 + 0 + x2) -4 + 3x + x2 = (-16 + x2) Add '-1x2' to each side of the equation. -4 + 3x + x2 + -1x2 = -16 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 3x + 0 = -16 + x2 + -1x2 -4 + 3x = -16 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 3x = -16 + 0 -4 + 3x = -16 Solving -4 + 3x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -16 + 4 3x = -16 + 4 Combine like terms: -16 + 4 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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