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Simplifying -45x2 = 40x Solving -45x2 = 40x Solving for variable 'x'. Reorder the terms: -40x + -45x2 = 40x + -40x Combine like terms: 40x + -40x = 0 -40x + -45x2 = 0 Factor out the Greatest Common Factor (GCF), '-5x'. -5x(8 + 9x) = 0 Ignore the factor -5.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 '(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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