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Simplifying 4x(6x + 10) = 5x(4x + 8) Reorder the terms: 4x(10 + 6x) = 5x(4x + 8) (10 * 4x + 6x * 4x) = 5x(4x + 8) (40x + 24x2) = 5x(4x + 8) Reorder the terms: 40x + 24x2 = 5x(8 + 4x) 40x + 24x2 = (8 * 5x + 4x * 5x) 40x + 24x2 = (40x + 20x2) Add '-40x' to each side of the equation. 40x + -40x + 24x2 = 40x + -40x + 20x2 Combine like terms: 40x + -40x = 0 0 + 24x2 = 40x + -40x + 20x2 24x2 = 40x + -40x + 20x2 Combine like terms: 40x + -40x = 0 24x2 = 0 + 20x2 24x2 = 20x2 Solving 24x2 = 20x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x2' to each side of the equation. 24x2 + -20x2 = 20x2 + -20x2 Combine like terms: 24x2 + -20x2 = 4x2 4x2 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 4x2 = 0 Divide each side by '4'. x2 = 0 Simplifying x2 = 0 Take the square root of each side: x = {0}
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