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Simplifying 16x2 + 100x = 0 Reorder the terms: 100x + 16x2 = 0 Solving 100x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(25 + 4x) = 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 '(25 + 4x)' equal to zero and attempt to solve: Simplifying 25 + 4x = 0 Solving 25 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 0 + -25 4x = 0 + -25 Combine like terms: 0 + -25 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25Solution
x = {0, -6.25}
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