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Simplifying 16x = 9x2 Solving 16x = 9x2 Solving for variable 'x'. Combine like terms: 9x2 + -9x2 = 0 16x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(16 + -9x) = 0Subproblem 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 '(16 + -9x)' equal to zero and attempt to solve: Simplifying 16 + -9x = 0 Solving 16 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = 0 + -16 -9x = 0 + -16 Combine like terms: 0 + -16 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778Solution
x = {0, 1.777777778}
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