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Simplifying 2x2 + 4(6x2 + -1x) + -2x = 0 Reorder the terms: 2x2 + 4(-1x + 6x2) + -2x = 0 2x2 + (-1x * 4 + 6x2 * 4) + -2x = 0 2x2 + (-4x + 24x2) + -2x = 0 Reorder the terms: -4x + -2x + 2x2 + 24x2 = 0 Combine like terms: -4x + -2x = -6x -6x + 2x2 + 24x2 = 0 Combine like terms: 2x2 + 24x2 = 26x2 -6x + 26x2 = 0 Solving -6x + 26x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + 13x) = 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 '(-3 + 13x)' equal to zero and attempt to solve: Simplifying -3 + 13x = 0 Solving -3 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 13x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 0 + 3 13x = 0 + 3 Combine like terms: 0 + 3 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308Solution
x = {0, 0.2307692308}
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