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Simplifying 12x2 + -48x = 5x2 + 12x Reorder the terms: -48x + 12x2 = 5x2 + 12x Reorder the terms: -48x + 12x2 = 12x + 5x2 Solving -48x + 12x2 = 12x + 5x2 Solving for variable 'x'. Reorder the terms: -48x + -12x + 12x2 + -5x2 = 12x + 5x2 + -12x + -5x2 Combine like terms: -48x + -12x = -60x -60x + 12x2 + -5x2 = 12x + 5x2 + -12x + -5x2 Combine like terms: 12x2 + -5x2 = 7x2 -60x + 7x2 = 12x + 5x2 + -12x + -5x2 Reorder the terms: -60x + 7x2 = 12x + -12x + 5x2 + -5x2 Combine like terms: 12x + -12x = 0 -60x + 7x2 = 0 + 5x2 + -5x2 -60x + 7x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -60x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-60 + 7x) = 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 '(-60 + 7x)' equal to zero and attempt to solve: Simplifying -60 + 7x = 0 Solving -60 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 7x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 7x = 0 + 60 7x = 0 + 60 Combine like terms: 0 + 60 = 60 7x = 60 Divide each side by '7'. x = 8.571428571 Simplifying x = 8.571428571Solution
x = {0, 8.571428571}
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