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Simplifying 4x2 + -20x2 + 25x = 0 Reorder the terms: 25x + 4x2 + -20x2 = 0 Combine like terms: 4x2 + -20x2 = -16x2 25x + -16x2 = 0 Solving 25x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(25 + -16x) = 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 + -16x)' equal to zero and attempt to solve: Simplifying 25 + -16x = 0 Solving 25 + -16x = 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 + -16x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -16x = 0 + -25 -16x = 0 + -25 Combine like terms: 0 + -25 = -25 -16x = -25 Divide each side by '-16'. x = 1.5625 Simplifying x = 1.5625Solution
x = {0, 1.5625}
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