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Simplifying (3x + -2)(3x + 2) = (x + -5)(9x + 4) Reorder the terms: (-2 + 3x)(3x + 2) = (x + -5)(9x + 4) Reorder the terms: (-2 + 3x)(2 + 3x) = (x + -5)(9x + 4) Multiply (-2 + 3x) * (2 + 3x) (-2(2 + 3x) + 3x * (2 + 3x)) = (x + -5)(9x + 4) ((2 * -2 + 3x * -2) + 3x * (2 + 3x)) = (x + -5)(9x + 4) ((-4 + -6x) + 3x * (2 + 3x)) = (x + -5)(9x + 4) (-4 + -6x + (2 * 3x + 3x * 3x)) = (x + -5)(9x + 4) (-4 + -6x + (6x + 9x2)) = (x + -5)(9x + 4) Combine like terms: -6x + 6x = 0 (-4 + 0 + 9x2) = (x + -5)(9x + 4) (-4 + 9x2) = (x + -5)(9x + 4) Reorder the terms: -4 + 9x2 = (-5 + x)(9x + 4) Reorder the terms: -4 + 9x2 = (-5 + x)(4 + 9x) Multiply (-5 + x) * (4 + 9x) -4 + 9x2 = (-5(4 + 9x) + x(4 + 9x)) -4 + 9x2 = ((4 * -5 + 9x * -5) + x(4 + 9x)) -4 + 9x2 = ((-20 + -45x) + x(4 + 9x)) -4 + 9x2 = (-20 + -45x + (4 * x + 9x * x)) -4 + 9x2 = (-20 + -45x + (4x + 9x2)) Combine like terms: -45x + 4x = -41x -4 + 9x2 = (-20 + -41x + 9x2) Add '-9x2' to each side of the equation. -4 + 9x2 + -9x2 = -20 + -41x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -4 + 0 = -20 + -41x + 9x2 + -9x2 -4 = -20 + -41x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -4 = -20 + -41x + 0 -4 = -20 + -41x Solving -4 = -20 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -4 + 41x = -20 + -41x + 41x Combine like terms: -41x + 41x = 0 -4 + 41x = -20 + 0 -4 + 41x = -20 Add '4' to each side of the equation. -4 + 4 + 41x = -20 + 4 Combine like terms: -4 + 4 = 0 0 + 41x = -20 + 4 41x = -20 + 4 Combine like terms: -20 + 4 = -16 41x = -16 Divide each side by '41'. x = -0.3902439024 Simplifying x = -0.3902439024
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