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Simplifying 2x + 8x2 + -7x + 6x2 = 0 Reorder the terms: 2x + -7x + 8x2 + 6x2 = 0 Combine like terms: 2x + -7x = -5x -5x + 8x2 + 6x2 = 0 Combine like terms: 8x2 + 6x2 = 14x2 -5x + 14x2 = 0 Solving -5x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 14x) = 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 + 14x)' equal to zero and attempt to solve: Simplifying -5 + 14x = 0 Solving -5 + 14x = 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 + 14x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 0 + 5 14x = 0 + 5 Combine like terms: 0 + 5 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571Solution
x = {0, 0.3571428571}
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