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Simplifying (5 + -3x)(5 + -3x) = 3x(3x + -1) Multiply (5 + -3x) * (5 + -3x) (5(5 + -3x) + -3x * (5 + -3x)) = 3x(3x + -1) ((5 * 5 + -3x * 5) + -3x * (5 + -3x)) = 3x(3x + -1) ((25 + -15x) + -3x * (5 + -3x)) = 3x(3x + -1) (25 + -15x + (5 * -3x + -3x * -3x)) = 3x(3x + -1) (25 + -15x + (-15x + 9x2)) = 3x(3x + -1) Combine like terms: -15x + -15x = -30x (25 + -30x + 9x2) = 3x(3x + -1) Reorder the terms: 25 + -30x + 9x2 = 3x(-1 + 3x) 25 + -30x + 9x2 = (-1 * 3x + 3x * 3x) 25 + -30x + 9x2 = (-3x + 9x2) Add '-9x2' to each side of the equation. 25 + -30x + 9x2 + -9x2 = -3x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 25 + -30x + 0 = -3x + 9x2 + -9x2 25 + -30x = -3x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 25 + -30x = -3x + 0 25 + -30x = -3x Solving 25 + -30x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 25 + -30x + 3x = -3x + 3x Combine like terms: -30x + 3x = -27x 25 + -27x = -3x + 3x Combine like terms: -3x + 3x = 0 25 + -27x = 0 Add '-25' to each side of the equation. 25 + -25 + -27x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -27x = 0 + -25 -27x = 0 + -25 Combine like terms: 0 + -25 = -25 -27x = -25 Divide each side by '-27'. x = 0.9259259259 Simplifying x = 0.9259259259
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