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Simplifying Z2 + 4z + -21 = (2z + 3)(z + -7) Reorder the terms: -21 + Z2 + 4z = (2z + 3)(z + -7) Reorder the terms: -21 + Z2 + 4z = (3 + 2z)(z + -7) Reorder the terms: -21 + Z2 + 4z = (3 + 2z)(-7 + z) Multiply (3 + 2z) * (-7 + z) -21 + Z2 + 4z = (3(-7 + z) + 2z * (-7 + z)) -21 + Z2 + 4z = ((-7 * 3 + z * 3) + 2z * (-7 + z)) -21 + Z2 + 4z = ((-21 + 3z) + 2z * (-7 + z)) -21 + Z2 + 4z = (-21 + 3z + (-7 * 2z + z * 2z)) -21 + Z2 + 4z = (-21 + 3z + (-14z + 2z2)) Combine like terms: 3z + -14z = -11z -21 + Z2 + 4z = (-21 + -11z + 2z2) Add '21' to each side of the equation. -21 + Z2 + 21 + 4z = -21 + -11z + 21 + 2z2 Reorder the terms: -21 + 21 + Z2 + 4z = -21 + -11z + 21 + 2z2 Combine like terms: -21 + 21 = 0 0 + Z2 + 4z = -21 + -11z + 21 + 2z2 Z2 + 4z = -21 + -11z + 21 + 2z2 Reorder the terms: Z2 + 4z = -21 + 21 + -11z + 2z2 Combine like terms: -21 + 21 = 0 Z2 + 4z = 0 + -11z + 2z2 Z2 + 4z = -11z + 2z2 Solving Z2 + 4z = -11z + 2z2 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-4z' to each side of the equation. Z2 + 4z + -4z = -11z + -4z + 2z2 Combine like terms: 4z + -4z = 0 Z2 + 0 = -11z + -4z + 2z2 Z2 = -11z + -4z + 2z2 Combine like terms: -11z + -4z = -15z Z2 = -15z + 2z2 Simplifying Z2 = -15z + 2z2 Reorder the terms: Z2 + 15z + -2z2 = -15z + 15z + 2z2 + -2z2 Combine like terms: -15z + 15z = 0 Z2 + 15z + -2z2 = 0 + 2z2 + -2z2 Z2 + 15z + -2z2 = 2z2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 Z2 + 15z + -2z2 = 0 The solution to this equation could not be determined.
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