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Simplifying 16x2 = 49x Solving 16x2 = 49x Solving for variable 'x'. Reorder the terms: -49x + 16x2 = 49x + -49x Combine like terms: 49x + -49x = 0 -49x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-49 + 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 '(-49 + 16x)' equal to zero and attempt to solve: Simplifying -49 + 16x = 0 Solving -49 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 16x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 16x = 0 + 49 16x = 0 + 49 Combine like terms: 0 + 49 = 49 16x = 49 Divide each side by '16'. x = 3.0625 Simplifying x = 3.0625Solution
x = {0, 3.0625}
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