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Simplifying 4x(2x + -5) = 2(2x + 5)(2x + -10) Reorder the terms: 4x(-5 + 2x) = 2(2x + 5)(2x + -10) (-5 * 4x + 2x * 4x) = 2(2x + 5)(2x + -10) (-20x + 8x2) = 2(2x + 5)(2x + -10) Reorder the terms: -20x + 8x2 = 2(5 + 2x)(2x + -10) Reorder the terms: -20x + 8x2 = 2(5 + 2x)(-10 + 2x) Multiply (5 + 2x) * (-10 + 2x) -20x + 8x2 = 2(5(-10 + 2x) + 2x * (-10 + 2x)) -20x + 8x2 = 2((-10 * 5 + 2x * 5) + 2x * (-10 + 2x)) -20x + 8x2 = 2((-50 + 10x) + 2x * (-10 + 2x)) -20x + 8x2 = 2(-50 + 10x + (-10 * 2x + 2x * 2x)) -20x + 8x2 = 2(-50 + 10x + (-20x + 4x2)) Combine like terms: 10x + -20x = -10x -20x + 8x2 = 2(-50 + -10x + 4x2) -20x + 8x2 = (-50 * 2 + -10x * 2 + 4x2 * 2) -20x + 8x2 = (-100 + -20x + 8x2) Add '20x' to each side of the equation. -20x + 20x + 8x2 = -100 + -20x + 20x + 8x2 Combine like terms: -20x + 20x = 0 0 + 8x2 = -100 + -20x + 20x + 8x2 8x2 = -100 + -20x + 20x + 8x2 Combine like terms: -20x + 20x = 0 8x2 = -100 + 0 + 8x2 8x2 = -100 + 8x2 Add '-8x2' to each side of the equation. 8x2 + -8x2 = -100 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 0 = -100 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 0 = -100 + 0 0 = -100 Solving 0 = -100 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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