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Simplifying 48x = 10x2 Solving 48x = 10x2 Solving for variable 'x'. Combine like terms: 10x2 + -10x2 = 0 48x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(24 + -5x) = 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 '(24 + -5x)' equal to zero and attempt to solve: Simplifying 24 + -5x = 0 Solving 24 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 0 + -24 -5x = 0 + -24 Combine like terms: 0 + -24 = -24 -5x = -24 Divide each side by '-5'. x = 4.8 Simplifying x = 4.8Solution
x = {0, 4.8}
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