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Simplifying 2x + -10x2 = 48x Solving 2x + -10x2 = 48x Solving for variable 'x'. Reorder the terms: 2x + -48x + -10x2 = 48x + -48x Combine like terms: 2x + -48x = -46x -46x + -10x2 = 48x + -48x Combine like terms: 48x + -48x = 0 -46x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(23 + 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 '(23 + 5x)' equal to zero and attempt to solve: Simplifying 23 + 5x = 0 Solving 23 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 0 + -23 5x = 0 + -23 Combine like terms: 0 + -23 = -23 5x = -23 Divide each side by '5'. x = -4.6 Simplifying x = -4.6Solution
x = {0, -4.6}
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