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Simplifying 35 = 0.5(x + -14)(x + -5) Reorder the terms: 35 = 0.5(-14 + x)(x + -5) Reorder the terms: 35 = 0.5(-14 + x)(-5 + x) Multiply (-14 + x) * (-5 + x) 35 = 0.5(-14(-5 + x) + x(-5 + x)) 35 = 0.5((-5 * -14 + x * -14) + x(-5 + x)) 35 = 0.5((70 + -14x) + x(-5 + x)) 35 = 0.5(70 + -14x + (-5 * x + x * x)) 35 = 0.5(70 + -14x + (-5x + x2)) Combine like terms: -14x + -5x = -19x 35 = 0.5(70 + -19x + x2) 35 = (70 * 0.5 + -19x * 0.5 + x2 * 0.5) 35 = (35 + -9.5x + 0.5x2) Add '-35' to each side of the equation. 35 + -35 = 35 + -9.5x + -35 + 0.5x2 Combine like terms: 35 + -35 = 0 0 = 35 + -9.5x + -35 + 0.5x2 Reorder the terms: 0 = 35 + -35 + -9.5x + 0.5x2 Combine like terms: 35 + -35 = 0 0 = 0 + -9.5x + 0.5x2 0 = -9.5x + 0.5x2 Solving 0 = -9.5x + 0.5x2 Solving for variable 'x'. Remove the zero: 9.5x + -0.5x2 = -9.5x + 0.5x2 + 9.5x + -0.5x2 Reorder the terms: 9.5x + -0.5x2 = -9.5x + 9.5x + 0.5x2 + -0.5x2 Combine like terms: -9.5x + 9.5x = 0.0 9.5x + -0.5x2 = 0.0 + 0.5x2 + -0.5x2 9.5x + -0.5x2 = 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 9.5x + -0.5x2 = 0.0 The solution to this equation could not be determined.
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