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Simplifying 6x2 + 5x2 + -4x = 0 Reorder the terms: -4x + 6x2 + 5x2 = 0 Combine like terms: 6x2 + 5x2 = 11x2 -4x + 11x2 = 0 Solving -4x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 11x) = 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 '(-4 + 11x)' equal to zero and attempt to solve: Simplifying -4 + 11x = 0 Solving -4 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 11x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 0 + 4 11x = 0 + 4 Combine like terms: 0 + 4 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636Solution
x = {0, 0.3636363636}
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