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Simplifying 5x2z + 45xz + 90z = 0 Reorder the terms: 45xz + 5x2z + 90z = 0 Solving 45xz + 5x2z + 90z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5z'. 5z(9x + x2 + 18) = 0 Factor a trinomial. 5z((x + 3)(x + 6)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x + 3)' equal to zero and attempt to solve: Simplifying x + 3 = 0 Reorder the terms: 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(x + 6)' equal to zero and attempt to solve: Simplifying x + 6 = 0 Reorder the terms: 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-3, -6}
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