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Simplifying 16x2 = 9x Solving 16x2 = 9x Solving for variable 'x'. Reorder the terms: -9x + 16x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -9x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 16x) = 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 '(-9 + 16x)' equal to zero and attempt to solve: Simplifying -9 + 16x = 0 Solving -9 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 16x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 16x = 0 + 9 16x = 0 + 9 Combine like terms: 0 + 9 = 9 16x = 9 Divide each side by '16'. x = 0.5625 Simplifying x = 0.5625Solution
x = {0, 0.5625}
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