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Simplifying 4x2 = -25x Solving 4x2 = -25x Solving for variable 'x'. Reorder the terms: 25x + 4x2 = -25x + 25x Combine like terms: -25x + 25x = 0 25x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(25 + 4x) = 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 '(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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