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Simplifying 9x3 = -45x2 Solving 9x3 = -45x2 Solving for variable 'x'. Reorder the terms: 45x2 + 9x3 = -45x2 + 45x2 Combine like terms: -45x2 + 45x2 = 0 45x2 + 9x3 = 0 Factor out the Greatest Common Factor (GCF), '9x2'. 9x2(5 + x) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
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