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Simplifying (z + 15) * x(z + -2) = 0 Reorder the terms: (15 + z) * x(z + -2) = 0 Reorder the terms: (15 + z) * x(-2 + z) = 0 Reorder the terms for easier multiplication: x(15 + z)(-2 + z) = 0 Multiply (15 + z) * (-2 + z) x(15(-2 + z) + z(-2 + z)) = 0 x((-2 * 15 + z * 15) + z(-2 + z)) = 0 x((-30 + 15z) + z(-2 + z)) = 0 x(-30 + 15z + (-2 * z + z * z)) = 0 x(-30 + 15z + (-2z + z2)) = 0 Combine like terms: 15z + -2z = 13z x(-30 + 13z + z2) = 0 (-30 * x + 13z * x + z2 * x) = 0 (-30x + 13xz + xz2) = 0 Solving -30x + 13xz + xz2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(-30 + 13z + z2) = 0 Factor a trinomial. x((-15 + -1z)(2 + -1z)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-15 + -1z)' equal to zero and attempt to solve: Simplifying -15 + -1z = 0 Solving -15 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1z = 0 + 15 -1z = 0 + 15 Combine like terms: 0 + 15 = 15 -1z = 15 Add 'z' to each side of the equation. -1z + z = 15 + z Combine like terms: -1z + z = 0 0 = 15 + z Simplifying 0 = 15 + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -1z)' equal to zero and attempt to solve: Simplifying 2 + -1z = 0 Solving 2 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 0 + -2 -1z = 0 + -2 Combine like terms: 0 + -2 = -2 -1z = -2 Add 'z' to each side of the equation. -1z + z = -2 + z Combine like terms: -1z + z = 0 0 = -2 + z Simplifying 0 = -2 + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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