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Simplifying 5(2x + -4)(x + 2) = 0 Reorder the terms: 5(-4 + 2x)(x + 2) = 0 Reorder the terms: 5(-4 + 2x)(2 + x) = 0 Multiply (-4 + 2x) * (2 + x) 5(-4(2 + x) + 2x * (2 + x)) = 0 5((2 * -4 + x * -4) + 2x * (2 + x)) = 0 5((-8 + -4x) + 2x * (2 + x)) = 0 5(-8 + -4x + (2 * 2x + x * 2x)) = 0 5(-8 + -4x + (4x + 2x2)) = 0 Combine like terms: -4x + 4x = 0 5(-8 + 0 + 2x2) = 0 5(-8 + 2x2) = 0 (-8 * 5 + 2x2 * 5) = 0 (-40 + 10x2) = 0 Solving -40 + 10x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10x2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 10x2 = 0 + 40 10x2 = 0 + 40 Combine like terms: 0 + 40 = 40 10x2 = 40 Divide each side by '10'. x2 = 4 Simplifying x2 = 4 Take the square root of each side: x = {-2, 2}
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