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Simplifying 7x2 + -6x + 2x2 + x = 0 Reorder the terms: -6x + x + 7x2 + 2x2 = 0 Combine like terms: -6x + x = -5x -5x + 7x2 + 2x2 = 0 Combine like terms: 7x2 + 2x2 = 9x2 -5x + 9x2 = 0 Solving -5x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 9x) = 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 + 9x)' equal to zero and attempt to solve: Simplifying -5 + 9x = 0 Solving -5 + 9x = 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 + 9x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 0 + 5 9x = 0 + 5 Combine like terms: 0 + 5 = 5 9x = 5 Divide each side by '9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {0, 0.5555555556}
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