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Simplifying x2 + -1d = (x + c)(x + -12) Reorder the terms: -1d + x2 = (x + c)(x + -12) Reorder the terms: -1d + x2 = (c + x)(x + -12) Reorder the terms: -1d + x2 = (c + x)(-12 + x) Multiply (c + x) * (-12 + x) -1d + x2 = (c(-12 + x) + x(-12 + x)) -1d + x2 = ((-12 * c + x * c) + x(-12 + x)) -1d + x2 = ((-12c + cx) + x(-12 + x)) -1d + x2 = (-12c + cx + (-12 * x + x * x)) -1d + x2 = (-12c + cx + (-12x + x2)) -1d + x2 = (-12c + cx + -12x + x2) Add '-1x2' to each side of the equation. -1d + x2 + -1x2 = -12c + cx + -12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1d + 0 = -12c + cx + -12x + x2 + -1x2 -1d = -12c + cx + -12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1d = -12c + cx + -12x + 0 -1d = -12c + cx + -12x Solving -1d = -12c + cx + -12x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by '-1'. d = 12c + -1cx + 12x Simplifying d = 12c + -1cx + 12x
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