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Simplifying 45x3 + 40x2 = 0 Reorder the terms: 40x2 + 45x3 = 0 Solving 40x2 + 45x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(8 + 9x) = 0 Ignore the factor 5.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 '(8 + 9x)' equal to zero and attempt to solve: Simplifying 8 + 9x = 0 Solving 8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 0 + -8 9x = 0 + -8 Combine like terms: 0 + -8 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889Solution
x = {0, -0.8888888889}
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