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Simplifying 10x2 + -20x = -5x2 + -6x Reorder the terms: -20x + 10x2 = -5x2 + -6x Reorder the terms: -20x + 10x2 = -6x + -5x2 Solving -20x + 10x2 = -6x + -5x2 Solving for variable 'x'. Reorder the terms: -20x + 6x + 10x2 + 5x2 = -6x + -5x2 + 6x + 5x2 Combine like terms: -20x + 6x = -14x -14x + 10x2 + 5x2 = -6x + -5x2 + 6x + 5x2 Combine like terms: 10x2 + 5x2 = 15x2 -14x + 15x2 = -6x + -5x2 + 6x + 5x2 Reorder the terms: -14x + 15x2 = -6x + 6x + -5x2 + 5x2 Combine like terms: -6x + 6x = 0 -14x + 15x2 = 0 + -5x2 + 5x2 -14x + 15x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -14x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + 15x) = 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 '(-14 + 15x)' equal to zero and attempt to solve: Simplifying -14 + 15x = 0 Solving -14 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 15x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 0 + 14 15x = 0 + 14 Combine like terms: 0 + 14 = 14 15x = 14 Divide each side by '15'. x = 0.9333333333 Simplifying x = 0.9333333333Solution
x = {0, 0.9333333333}
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