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Simplifying 5x2 + -2(x + -3x2) = 0 5x2 + (x * -2 + -3x2 * -2) = 0 5x2 + (-2x + 6x2) = 0 Reorder the terms: -2x + 5x2 + 6x2 = 0 Combine like terms: 5x2 + 6x2 = 11x2 -2x + 11x2 = 0 Solving -2x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 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 '(-2 + 11x)' equal to zero and attempt to solve: Simplifying -2 + 11x = 0 Solving -2 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 0 + 2 11x = 0 + 2 Combine like terms: 0 + 2 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818Solution
x = {0, 0.1818181818}
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