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Simplifying m2 + -3m + -18 = (x + -5)(x + -4) Reorder the terms: -18 + -3m + m2 = (x + -5)(x + -4) Reorder the terms: -18 + -3m + m2 = (-5 + x)(x + -4) Reorder the terms: -18 + -3m + m2 = (-5 + x)(-4 + x) Multiply (-5 + x) * (-4 + x) -18 + -3m + m2 = (-5(-4 + x) + x(-4 + x)) -18 + -3m + m2 = ((-4 * -5 + x * -5) + x(-4 + x)) -18 + -3m + m2 = ((20 + -5x) + x(-4 + x)) -18 + -3m + m2 = (20 + -5x + (-4 * x + x * x)) -18 + -3m + m2 = (20 + -5x + (-4x + x2)) Combine like terms: -5x + -4x = -9x -18 + -3m + m2 = (20 + -9x + x2) Solving -18 + -3m + m2 = 20 + -9x + x2 Solving for variable 'm'. Reorder the terms: -18 + -20 + -3m + m2 + 9x + -1x2 = 20 + -9x + x2 + -20 + 9x + -1x2 Combine like terms: -18 + -20 = -38 -38 + -3m + m2 + 9x + -1x2 = 20 + -9x + x2 + -20 + 9x + -1x2 Reorder the terms: -38 + -3m + m2 + 9x + -1x2 = 20 + -20 + -9x + 9x + x2 + -1x2 Combine like terms: 20 + -20 = 0 -38 + -3m + m2 + 9x + -1x2 = 0 + -9x + 9x + x2 + -1x2 -38 + -3m + m2 + 9x + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 -38 + -3m + m2 + 9x + -1x2 = 0 + x2 + -1x2 -38 + -3m + m2 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -38 + -3m + m2 + 9x + -1x2 = 0 The solution to this equation could not be determined.
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