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Simplifying x2 + -13xz + -48z2 = 0 Reorder the terms: -13xz + x2 + -48z2 = 0 Solving -13xz + x2 + -48z2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -16z)(x + 3z) = 0Subproblem 1
Set the factor '(x + -16z)' equal to zero and attempt to solve: Simplifying x + -16z = 0 Solving x + -16z = 0 Move all terms containing x to the left, all other terms to the right. Add '16z' to each side of the equation. x + -16z + 16z = 0 + 16z Combine like terms: -16z + 16z = 0 x + 0 = 0 + 16z x = 0 + 16z Remove the zero: x = 16z Simplifying x = 16zSubproblem 2
Set the factor '(x + 3z)' equal to zero and attempt to solve: Simplifying x + 3z = 0 Solving x + 3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3z' to each side of the equation. x + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 x + 0 = 0 + -3z x = 0 + -3z Remove the zero: x = -3z Simplifying x = -3zSolution
x = {16z, -3z}
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