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Simplifying x(25x + 14) = 0 Reorder the terms: x(14 + 25x) = 0 (14 * x + 25x * x) = 0 (14x + 25x2) = 0 Solving 14x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(14 + 25x) = 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 '(14 + 25x)' equal to zero and attempt to solve: Simplifying 14 + 25x = 0 Solving 14 + 25x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 25x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 25x = 0 + -14 25x = 0 + -14 Combine like terms: 0 + -14 = -14 25x = -14 Divide each side by '25'. x = -0.56 Simplifying x = -0.56Solution
x = {0, -0.56}
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