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Simplifying 4x3 = 25x2 Solving 4x3 = 25x2 Solving for variable 'x'. Reorder the terms: -25x2 + 4x3 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 -25x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-25 + 4x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 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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