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Simplifying -18x3 = -105x + 150x Combine like terms: -105x + 150x = 45x -18x3 = 45x Solving -18x3 = 45x Solving for variable 'x'. Reorder the terms: -45x + -18x3 = 45x + -45x Combine like terms: 45x + -45x = 0 -45x + -18x3 = 0 Factor out the Greatest Common Factor (GCF), '-9x'. -9x(5 + 2x2) = 0 Ignore the factor -9.Subproblem 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 '(5 + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 2x2 = 0 Solving 5 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2 = 0 + -5 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x2 = -5 Divide each side by '2'. x2 = -2.5 Simplifying x2 = -2.5 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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