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Simplifying F(x) = -0.2(x + -1.9)(x + -3.5) Multiply F * x xF = -0.2(x + -1.9)(x + -3.5) Reorder the terms: xF = -0.2(-1.9 + x)(x + -3.5) Reorder the terms: xF = -0.2(-1.9 + x)(-3.5 + x) Multiply (-1.9 + x) * (-3.5 + x) xF = -0.2(-1.9(-3.5 + x) + x(-3.5 + x)) xF = -0.2((-3.5 * -1.9 + x * -1.9) + x(-3.5 + x)) xF = -0.2((6.65 + -1.9x) + x(-3.5 + x)) xF = -0.2(6.65 + -1.9x + (-3.5 * x + x * x)) xF = -0.2(6.65 + -1.9x + (-3.5x + x2)) Combine like terms: -1.9x + -3.5x = -5.4x xF = -0.2(6.65 + -5.4x + x2) xF = (6.65 * -0.2 + -5.4x * -0.2 + x2 * -0.2) xF = (-1.33 + 1.08x + -0.2x2) Solving xF = -1.33 + 1.08x + -0.2x2 Solving for variable 'x'. Reorder the terms: 1.33 + -1.08x + xF + 0.2x2 = -1.33 + 1.08x + -0.2x2 + 1.33 + -1.08x + 0.2x2 Reorder the terms: 1.33 + -1.08x + xF + 0.2x2 = -1.33 + 1.33 + 1.08x + -1.08x + -0.2x2 + 0.2x2 Combine like terms: -1.33 + 1.33 = 0.00 1.33 + -1.08x + xF + 0.2x2 = 0.00 + 1.08x + -1.08x + -0.2x2 + 0.2x2 1.33 + -1.08x + xF + 0.2x2 = 1.08x + -1.08x + -0.2x2 + 0.2x2 Combine like terms: 1.08x + -1.08x = 0.00 1.33 + -1.08x + xF + 0.2x2 = 0.00 + -0.2x2 + 0.2x2 1.33 + -1.08x + xF + 0.2x2 = -0.2x2 + 0.2x2 Combine like terms: -0.2x2 + 0.2x2 = 0.0 1.33 + -1.08x + xF + 0.2x2 = 0.0 The solution to this equation could not be determined.
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