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Simplifying x2 + -4 = (x + -2)(x + -2) Reorder the terms: -4 + x2 = (x + -2)(x + -2) Reorder the terms: -4 + x2 = (-2 + x)(x + -2) Reorder the terms: -4 + x2 = (-2 + x)(-2 + x) Multiply (-2 + x) * (-2 + x) -4 + x2 = (-2(-2 + x) + x(-2 + x)) -4 + x2 = ((-2 * -2 + x * -2) + x(-2 + x)) -4 + x2 = ((4 + -2x) + x(-2 + x)) -4 + x2 = (4 + -2x + (-2 * x + x * x)) -4 + x2 = (4 + -2x + (-2x + x2)) Combine like terms: -2x + -2x = -4x -4 + x2 = (4 + -4x + x2) Add '-1x2' to each side of the equation. -4 + x2 + -1x2 = 4 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 0 = 4 + -4x + x2 + -1x2 -4 = 4 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 = 4 + -4x + 0 -4 = 4 + -4x Solving -4 = 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. -4 + 4x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 4x = 4 + 0 -4 + 4x = 4 Add '4' to each side of the equation. -4 + 4 + 4x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 4 + 4 4x = 4 + 4 Combine like terms: 4 + 4 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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