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Simplifying 4x2 + 196x = 0 Reorder the terms: 196x + 4x2 = 0 Solving 196x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(49 + x) = 0 Ignore the factor 4.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 '(49 + x)' equal to zero and attempt to solve: Simplifying 49 + x = 0 Solving 49 + x = 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 + x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x = 0 + -49 x = 0 + -49 Combine like terms: 0 + -49 = -49 x = -49 Simplifying x = -49Solution
x = {0, -49}
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