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Simplifying 9x2 + -2x = -5x2 Reorder the terms: -2x + 9x2 = -5x2 Solving -2x + 9x2 = -5x2 Solving for variable 'x'. Combine like terms: 9x2 + 5x2 = 14x2 -2x + 14x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -2x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + 7x) = 0 Ignore the factor 2.Subproblem 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 '(-1 + 7x)' equal to zero and attempt to solve: Simplifying -1 + 7x = 0 Solving -1 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0 + 1 7x = 0 + 1 Combine like terms: 0 + 1 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {0, 0.1428571429}
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