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Simplifying 3x(4x + -4) = 13x Reorder the terms: 3x(-4 + 4x) = 13x (-4 * 3x + 4x * 3x) = 13x (-12x + 12x2) = 13x Solving -12x + 12x2 = 13x Solving for variable 'x'. Reorder the terms: -12x + -13x + 12x2 = 13x + -13x Combine like terms: -12x + -13x = -25x -25x + 12x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -25x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + 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 '(-25 + 12x)' equal to zero and attempt to solve: Simplifying -25 + 12x = 0 Solving -25 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 12x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 12x = 0 + 25 12x = 0 + 25 Combine like terms: 0 + 25 = 25 12x = 25 Divide each side by '12'. x = 2.083333333 Simplifying x = 2.083333333Solution
x = {0, 2.083333333}
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