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Simplifying (3x + -9)(7z + 11) = 0 Reorder the terms: (-9 + 3x)(7z + 11) = 0 Reorder the terms: (-9 + 3x)(11 + 7z) = 0 Multiply (-9 + 3x) * (11 + 7z) (-9(11 + 7z) + 3x * (11 + 7z)) = 0 ((11 * -9 + 7z * -9) + 3x * (11 + 7z)) = 0 ((-99 + -63z) + 3x * (11 + 7z)) = 0 (-99 + -63z + (11 * 3x + 7z * 3x)) = 0 (-99 + -63z + (33x + 21xz)) = 0 Reorder the terms: (-99 + 33x + 21xz + -63z) = 0 (-99 + 33x + 21xz + -63z) = 0 Solving -99 + 33x + 21xz + -63z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '99' to each side of the equation. -99 + 33x + 21xz + 99 + -63z = 0 + 99 Reorder the terms: -99 + 99 + 33x + 21xz + -63z = 0 + 99 Combine like terms: -99 + 99 = 0 0 + 33x + 21xz + -63z = 0 + 99 33x + 21xz + -63z = 0 + 99 Combine like terms: 0 + 99 = 99 33x + 21xz + -63z = 99 Add '63z' to each side of the equation. 33x + 21xz + -63z + 63z = 99 + 63z Combine like terms: -63z + 63z = 0 33x + 21xz + 0 = 99 + 63z 33x + 21xz = 99 + 63z Reorder the terms: -99 + 33x + 21xz + -63z = 99 + 63z + -99 + -63z Reorder the terms: -99 + 33x + 21xz + -63z = 99 + -99 + 63z + -63z Combine like terms: 99 + -99 = 0 -99 + 33x + 21xz + -63z = 0 + 63z + -63z -99 + 33x + 21xz + -63z = 63z + -63z Combine like terms: 63z + -63z = 0 -99 + 33x + 21xz + -63z = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-33 + 11x + 7xz + -21z) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-33 + 11x + 7xz + -21z)' equal to zero and attempt to solve: Simplifying -33 + 11x + 7xz + -21z = 0 Solving -33 + 11x + 7xz + -21z = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 11x + 7xz + 33 + -21z = 0 + 33 Reorder the terms: -33 + 33 + 11x + 7xz + -21z = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 11x + 7xz + -21z = 0 + 33 11x + 7xz + -21z = 0 + 33 Combine like terms: 0 + 33 = 33 11x + 7xz + -21z = 33 Add '21z' to each side of the equation. 11x + 7xz + -21z + 21z = 33 + 21z Combine like terms: -21z + 21z = 0 11x + 7xz + 0 = 33 + 21z 11x + 7xz = 33 + 21z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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