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Simplifying 14x = 54x2 Solving 14x = 54x2 Solving for variable 'x'. Combine like terms: 54x2 + -54x2 = 0 14x + -54x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(7 + -27x) = 0 Ignore the factor 2.Subproblem 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 '(7 + -27x)' equal to zero and attempt to solve: Simplifying 7 + -27x = 0 Solving 7 + -27x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -27x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -27x = 0 + -7 -27x = 0 + -7 Combine like terms: 0 + -7 = -7 -27x = -7 Divide each side by '-27'. x = 0.2592592593 Simplifying x = 0.2592592593Solution
x = {0, 0.2592592593}
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