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Simplifying 3x + 2x2 + -8x + 6x2 = 0 Reorder the terms: 3x + -8x + 2x2 + 6x2 = 0 Combine like terms: 3x + -8x = -5x -5x + 2x2 + 6x2 = 0 Combine like terms: 2x2 + 6x2 = 8x2 -5x + 8x2 = 0 Solving -5x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 8x) = 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 '(-5 + 8x)' equal to zero and attempt to solve: Simplifying -5 + 8x = 0 Solving -5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 0 + 5 8x = 0 + 5 Combine like terms: 0 + 5 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625Solution
x = {0, 0.625}
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