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Simplifying 10x2 = -49x Solving 10x2 = -49x Solving for variable 'x'. Reorder the terms: 49x + 10x2 = -49x + 49x Combine like terms: -49x + 49x = 0 49x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(49 + 10x) = 0Subproblem 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 '(49 + 10x)' equal to zero and attempt to solve: Simplifying 49 + 10x = 0 Solving 49 + 10x = 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 + 10x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 10x = 0 + -49 10x = 0 + -49 Combine like terms: 0 + -49 = -49 10x = -49 Divide each side by '10'. x = -4.9 Simplifying x = -4.9Solution
x = {0, -4.9}
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