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Simplifying 12x2 + 12x = 25x Reorder the terms: 12x + 12x2 = 25x Solving 12x + 12x2 = 25x Solving for variable 'x'. Reorder the terms: 12x + -25x + 12x2 = 25x + -25x Combine like terms: 12x + -25x = -13x -13x + 12x2 = 25x + -25x Combine like terms: 25x + -25x = 0 -13x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 12x) = 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 '(-13 + 12x)' equal to zero and attempt to solve: Simplifying -13 + 12x = 0 Solving -13 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 12x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 0 + 13 12x = 0 + 13 Combine like terms: 0 + 13 = 13 12x = 13 Divide each side by '12'. x = 1.083333333 Simplifying x = 1.083333333Solution
x = {0, 1.083333333}
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