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Simplifying 12x2 + 20x = 7x Reorder the terms: 20x + 12x2 = 7x Solving 20x + 12x2 = 7x Solving for variable 'x'. Reorder the terms: 20x + -7x + 12x2 = 7x + -7x Combine like terms: 20x + -7x = 13x 13x + 12x2 = 7x + -7x Combine like terms: 7x + -7x = 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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