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Simplifying 105x2 = 25x Solving 105x2 = 25x Solving for variable 'x'. Reorder the terms: -25x + 105x2 = 25x + -25x Combine like terms: 25x + -25x = 0 -25x + 105x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-5 + 21x) = 0 Ignore the factor 5.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 '(-5 + 21x)' equal to zero and attempt to solve: Simplifying -5 + 21x = 0 Solving -5 + 21x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 21x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 21x = 0 + 5 21x = 0 + 5 Combine like terms: 0 + 5 = 5 21x = 5 Divide each side by '21'. x = 0.2380952381 Simplifying x = 0.2380952381Solution
x = {0, 0.2380952381}
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