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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 = -12x (4 + -12x + 9x2) = (x + -5)(9x + 4) Reorder the terms: 4 + -12x + 9x2 = (-5 + x)(9x + 4) Reorder the terms: 4 + -12x + 9x2 = (-5 + x)(4 + 9x) Multiply (-5 + x) * (4 + 9x) 4 + -12x + 9x2 = (-5(4 + 9x) + x(4 + 9x)) 4 + -12x + 9x2 = ((4 * -5 + 9x * -5) + x(4 + 9x)) 4 + -12x + 9x2 = ((-20 + -45x) + x(4 + 9x)) 4 + -12x + 9x2 = (-20 + -45x + (4 * x + 9x * x)) 4 + -12x + 9x2 = (-20 + -45x + (4x + 9x2)) Combine like terms: -45x + 4x = -41x 4 + -12x + 9x2 = (-20 + -41x + 9x2) Add '-9x2' to each side of the equation. 4 + -12x + 9x2 + -9x2 = -20 + -41x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 4 + -12x + 0 = -20 + -41x + 9x2 + -9x2 4 + -12x = -20 + -41x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 4 + -12x = -20 + -41x + 0 4 + -12x = -20 + -41x Solving 4 + -12x = -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 + -12x + 41x = -20 + -41x + 41x Combine like terms: -12x + 41x = 29x 4 + 29x = -20 + -41x + 41x Combine like terms: -41x + 41x = 0 4 + 29x = -20 + 0 4 + 29x = -20 Add '-4' to each side of the equation. 4 + -4 + 29x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 29x = -20 + -4 29x = -20 + -4 Combine like terms: -20 + -4 = -24 29x = -24 Divide each side by '29'. x = -0.8275862069 Simplifying x = -0.8275862069
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