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Simplifying 51x2 + (-48x) = 0 Reorder the terms: (-48x) + 51x2 = 0 Solving (-48x) + 51x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-16 + 17x) = 0 Ignore the factor 3.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 '(-16 + 17x)' equal to zero and attempt to solve: Simplifying -16 + 17x = 0 Solving -16 + 17x = 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 + 17x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 17x = 0 + 16 17x = 0 + 16 Combine like terms: 0 + 16 = 16 17x = 16 Divide each side by '17'. x = 0.9411764706 Simplifying x = 0.9411764706Solution
x = {0, 0.9411764706}
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