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Simplifying F(x) = 0.5(x + 2)(x + -7) Multiply F * x xF = 0.5(x + 2)(x + -7) Reorder the terms: xF = 0.5(2 + x)(x + -7) Reorder the terms: xF = 0.5(2 + x)(-7 + x) Multiply (2 + x) * (-7 + x) xF = 0.5(2(-7 + x) + x(-7 + x)) xF = 0.5((-7 * 2 + x * 2) + x(-7 + x)) xF = 0.5((-14 + 2x) + x(-7 + x)) xF = 0.5(-14 + 2x + (-7 * x + x * x)) xF = 0.5(-14 + 2x + (-7x + x2)) Combine like terms: 2x + -7x = -5x xF = 0.5(-14 + -5x + x2) xF = (-14 * 0.5 + -5x * 0.5 + x2 * 0.5) xF = (-7 + -2.5x + 0.5x2) Solving xF = -7 + -2.5x + 0.5x2 Solving for variable 'x'. Reorder the terms: 7 + 2.5x + xF + -0.5x2 = -7 + -2.5x + 0.5x2 + 7 + 2.5x + -0.5x2 Reorder the terms: 7 + 2.5x + xF + -0.5x2 = -7 + 7 + -2.5x + 2.5x + 0.5x2 + -0.5x2 Combine like terms: -7 + 7 = 0 7 + 2.5x + xF + -0.5x2 = 0 + -2.5x + 2.5x + 0.5x2 + -0.5x2 7 + 2.5x + xF + -0.5x2 = -2.5x + 2.5x + 0.5x2 + -0.5x2 Combine like terms: -2.5x + 2.5x = 0.0 7 + 2.5x + xF + -0.5x2 = 0.0 + 0.5x2 + -0.5x2 7 + 2.5x + xF + -0.5x2 = 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 7 + 2.5x + xF + -0.5x2 = 0.0 The solution to this equation could not be determined.
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