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Simplifying F(x) = 5(x + -9)(x + 6) Multiply F * x xF = 5(x + -9)(x + 6) Reorder the terms: xF = 5(-9 + x)(x + 6) Reorder the terms: xF = 5(-9 + x)(6 + x) Multiply (-9 + x) * (6 + x) xF = 5(-9(6 + x) + x(6 + x)) xF = 5((6 * -9 + x * -9) + x(6 + x)) xF = 5((-54 + -9x) + x(6 + x)) xF = 5(-54 + -9x + (6 * x + x * x)) xF = 5(-54 + -9x + (6x + x2)) Combine like terms: -9x + 6x = -3x xF = 5(-54 + -3x + x2) xF = (-54 * 5 + -3x * 5 + x2 * 5) xF = (-270 + -15x + 5x2) Solving xF = -270 + -15x + 5x2 Solving for variable 'x'. Reorder the terms: 270 + 15x + xF + -5x2 = -270 + -15x + 5x2 + 270 + 15x + -5x2 Reorder the terms: 270 + 15x + xF + -5x2 = -270 + 270 + -15x + 15x + 5x2 + -5x2 Combine like terms: -270 + 270 = 0 270 + 15x + xF + -5x2 = 0 + -15x + 15x + 5x2 + -5x2 270 + 15x + xF + -5x2 = -15x + 15x + 5x2 + -5x2 Combine like terms: -15x + 15x = 0 270 + 15x + xF + -5x2 = 0 + 5x2 + -5x2 270 + 15x + xF + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 270 + 15x + xF + -5x2 = 0 The solution to this equation could not be determined.
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