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Simplifying F(x) = 3(x + 6)(x + -12) Multiply F * x xF = 3(x + 6)(x + -12) Reorder the terms: xF = 3(6 + x)(x + -12) Reorder the terms: xF = 3(6 + x)(-12 + x) Multiply (6 + x) * (-12 + x) xF = 3(6(-12 + x) + x(-12 + x)) xF = 3((-12 * 6 + x * 6) + x(-12 + x)) xF = 3((-72 + 6x) + x(-12 + x)) xF = 3(-72 + 6x + (-12 * x + x * x)) xF = 3(-72 + 6x + (-12x + x2)) Combine like terms: 6x + -12x = -6x xF = 3(-72 + -6x + x2) xF = (-72 * 3 + -6x * 3 + x2 * 3) xF = (-216 + -18x + 3x2) Solving xF = -216 + -18x + 3x2 Solving for variable 'x'. Reorder the terms: 216 + 18x + xF + -3x2 = -216 + -18x + 3x2 + 216 + 18x + -3x2 Reorder the terms: 216 + 18x + xF + -3x2 = -216 + 216 + -18x + 18x + 3x2 + -3x2 Combine like terms: -216 + 216 = 0 216 + 18x + xF + -3x2 = 0 + -18x + 18x + 3x2 + -3x2 216 + 18x + xF + -3x2 = -18x + 18x + 3x2 + -3x2 Combine like terms: -18x + 18x = 0 216 + 18x + xF + -3x2 = 0 + 3x2 + -3x2 216 + 18x + xF + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 216 + 18x + xF + -3x2 = 0 The solution to this equation could not be determined.
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