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Simplifying F(x) = (7 + -2x)(x + 5) Multiply F * x xF = (7 + -2x)(x + 5) Reorder the terms: xF = (7 + -2x)(5 + x) Multiply (7 + -2x) * (5 + x) xF = (7(5 + x) + -2x * (5 + x)) xF = ((5 * 7 + x * 7) + -2x * (5 + x)) xF = ((35 + 7x) + -2x * (5 + x)) xF = (35 + 7x + (5 * -2x + x * -2x)) xF = (35 + 7x + (-10x + -2x2)) Combine like terms: 7x + -10x = -3x xF = (35 + -3x + -2x2) Solving xF = 35 + -3x + -2x2 Solving for variable 'x'. Reorder the terms: -35 + 3x + xF + 2x2 = 35 + -3x + -2x2 + -35 + 3x + 2x2 Reorder the terms: -35 + 3x + xF + 2x2 = 35 + -35 + -3x + 3x + -2x2 + 2x2 Combine like terms: 35 + -35 = 0 -35 + 3x + xF + 2x2 = 0 + -3x + 3x + -2x2 + 2x2 -35 + 3x + xF + 2x2 = -3x + 3x + -2x2 + 2x2 Combine like terms: -3x + 3x = 0 -35 + 3x + xF + 2x2 = 0 + -2x2 + 2x2 -35 + 3x + xF + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -35 + 3x + xF + 2x2 = 0 The solution to this equation could not be determined.
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