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Simplifying 16x2 = 58x Solving 16x2 = 58x Solving for variable 'x'. Reorder the terms: -58x + 16x2 = 58x + -58x Combine like terms: 58x + -58x = 0 -58x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-29 + 8x) = 0 Ignore the factor 2.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 '(-29 + 8x)' equal to zero and attempt to solve: Simplifying -29 + 8x = 0 Solving -29 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 8x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = 0 + 29 8x = 0 + 29 Combine like terms: 0 + 29 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625Solution
x = {0, 3.625}
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