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Simplifying 15x2 + -19x = 12x2 + -3x Reorder the terms: -19x + 15x2 = 12x2 + -3x Reorder the terms: -19x + 15x2 = -3x + 12x2 Solving -19x + 15x2 = -3x + 12x2 Solving for variable 'x'. Reorder the terms: -19x + 3x + 15x2 + -12x2 = -3x + 12x2 + 3x + -12x2 Combine like terms: -19x + 3x = -16x -16x + 15x2 + -12x2 = -3x + 12x2 + 3x + -12x2 Combine like terms: 15x2 + -12x2 = 3x2 -16x + 3x2 = -3x + 12x2 + 3x + -12x2 Reorder the terms: -16x + 3x2 = -3x + 3x + 12x2 + -12x2 Combine like terms: -3x + 3x = 0 -16x + 3x2 = 0 + 12x2 + -12x2 -16x + 3x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -16x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-16 + 3x) = 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 '(-16 + 3x)' equal to zero and attempt to solve: Simplifying -16 + 3x = 0 Solving -16 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 0 + 16 3x = 0 + 16 Combine like terms: 0 + 16 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333Solution
x = {0, 5.333333333}
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