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Simplifying 16x3 + -49x2 = 0 Reorder the terms: -49x2 + 16x3 = 0 Solving -49x2 + 16x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-49 + 16x) = 0Subproblem 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 '(-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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