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Simplifying x(5x + -9) = (5x + 3)(x + -3) Reorder the terms: x(-9 + 5x) = (5x + 3)(x + -3) (-9 * x + 5x * x) = (5x + 3)(x + -3) (-9x + 5x2) = (5x + 3)(x + -3) Reorder the terms: -9x + 5x2 = (3 + 5x)(x + -3) Reorder the terms: -9x + 5x2 = (3 + 5x)(-3 + x) Multiply (3 + 5x) * (-3 + x) -9x + 5x2 = (3(-3 + x) + 5x * (-3 + x)) -9x + 5x2 = ((-3 * 3 + x * 3) + 5x * (-3 + x)) -9x + 5x2 = ((-9 + 3x) + 5x * (-3 + x)) -9x + 5x2 = (-9 + 3x + (-3 * 5x + x * 5x)) -9x + 5x2 = (-9 + 3x + (-15x + 5x2)) Combine like terms: 3x + -15x = -12x -9x + 5x2 = (-9 + -12x + 5x2) Add '-5x2' to each side of the equation. -9x + 5x2 + -5x2 = -9 + -12x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9x + 0 = -9 + -12x + 5x2 + -5x2 -9x = -9 + -12x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9x = -9 + -12x + 0 -9x = -9 + -12x Solving -9x = -9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -9x + 12x = -9 + -12x + 12x Combine like terms: -9x + 12x = 3x 3x = -9 + -12x + 12x Combine like terms: -12x + 12x = 0 3x = -9 + 0 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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