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Simplifying x2 = 25x3 Solving x2 = 25x3 Solving for variable 'x'. Combine like terms: 25x3 + -25x3 = 0 x2 + -25x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(1 + -25x) = 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 '(1 + -25x)' equal to zero and attempt to solve: Simplifying 1 + -25x = 0 Solving 1 + -25x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -25x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -25x = 0 + -1 -25x = 0 + -1 Combine like terms: 0 + -1 = -1 -25x = -1 Divide each side by '-25'. x = 0.04 Simplifying x = 0.04Solution
x = {0, 0.04}
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