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Simplifying factor(8z + -3)(z + 4) + -1(8z + -3)(z + -3) = 0 Reorder the terms: acfort(-3 + 8z)(z + 4) + -1(8z + -3)(z + -3) = 0 Reorder the terms: acfort(-3 + 8z)(4 + z) + -1(8z + -3)(z + -3) = 0 Multiply (-3 + 8z) * (4 + z) acfort(-3(4 + z) + 8z * (4 + z)) + -1(8z + -3)(z + -3) = 0 acfort((4 * -3 + z * -3) + 8z * (4 + z)) + -1(8z + -3)(z + -3) = 0 acfort((-12 + -3z) + 8z * (4 + z)) + -1(8z + -3)(z + -3) = 0 acfort(-12 + -3z + (4 * 8z + z * 8z)) + -1(8z + -3)(z + -3) = 0 acfort(-12 + -3z + (32z + 8z2)) + -1(8z + -3)(z + -3) = 0 Combine like terms: -3z + 32z = 29z acfort(-12 + 29z + 8z2) + -1(8z + -3)(z + -3) = 0 (-12 * acfort + 29z * acfort + 8z2 * acfort) + -1(8z + -3)(z + -3) = 0 (-12acfort + 29acfortz + 8acfortz2) + -1(8z + -3)(z + -3) = 0 Reorder the terms: -12acfort + 29acfortz + 8acfortz2 + -1(-3 + 8z)(z + -3) = 0 Reorder the terms: -12acfort + 29acfortz + 8acfortz2 + -1(-3 + 8z)(-3 + z) = 0 Multiply (-3 + 8z) * (-3 + z) -12acfort + 29acfortz + 8acfortz2 + -1(-3(-3 + z) + 8z * (-3 + z)) = 0 -12acfort + 29acfortz + 8acfortz2 + -1((-3 * -3 + z * -3) + 8z * (-3 + z)) = 0 -12acfort + 29acfortz + 8acfortz2 + -1((9 + -3z) + 8z * (-3 + z)) = 0 -12acfort + 29acfortz + 8acfortz2 + -1(9 + -3z + (-3 * 8z + z * 8z)) = 0 -12acfort + 29acfortz + 8acfortz2 + -1(9 + -3z + (-24z + 8z2)) = 0 Combine like terms: -3z + -24z = -27z -12acfort + 29acfortz + 8acfortz2 + -1(9 + -27z + 8z2) = 0 -12acfort + 29acfortz + 8acfortz2 + (9 * -1 + -27z * -1 + 8z2 * -1) = 0 -12acfort + 29acfortz + 8acfortz2 + (-9 + 27z + -8z2) = 0 Reorder the terms: -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 0 Solving -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + 9 + -8z2 = 0 + 9 Reorder the terms: -9 + 9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 0 + 9 -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 0 + 9 Combine like terms: 0 + 9 = 9 -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 9 Add '-27z' to each side of the equation. -12acfort + 29acfortz + 8acfortz2 + 27z + -27z + -8z2 = 9 + -27z Combine like terms: 27z + -27z = 0 -12acfort + 29acfortz + 8acfortz2 + 0 + -8z2 = 9 + -27z -12acfort + 29acfortz + 8acfortz2 + -8z2 = 9 + -27z Add '8z2' to each side of the equation. -12acfort + 29acfortz + 8acfortz2 + -8z2 + 8z2 = 9 + -27z + 8z2 Combine like terms: -8z2 + 8z2 = 0 -12acfort + 29acfortz + 8acfortz2 + 0 = 9 + -27z + 8z2 -12acfort + 29acfortz + 8acfortz2 = 9 + -27z + 8z2 Reorder the terms: -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 9 + -27z + 8z2 + -9 + 27z + -8z2 Reorder the terms: -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 9 + -9 + -27z + 27z + 8z2 + -8z2 Combine like terms: 9 + -9 = 0 -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 0 + -27z + 27z + 8z2 + -8z2 -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = -27z + 27z + 8z2 + -8z2 Combine like terms: -27z + 27z = 0 -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 0 + 8z2 + -8z2 -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 8z2 + -8z2 Combine like terms: 8z2 + -8z2 = 0 -9 + -12acfort + 29acfortz + 8acfortz2 + 27z + -8z2 = 0 The solution to this equation could not be determined.
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