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Simplifying (2x2 + -6x) + (2x2 + -6x) + (2x2 + -6x) + (2x2 + -6x) = 0 Reorder the terms: (-6x + 2x2) + (2x2 + -6x) + (2x2 + -6x) + (2x2 + -6x) = 0 Remove parenthesis around (-6x + 2x2) -6x + 2x2 + (2x2 + -6x) + (2x2 + -6x) + (2x2 + -6x) = 0 Reorder the terms: -6x + 2x2 + (-6x + 2x2) + (2x2 + -6x) + (2x2 + -6x) = 0 Remove parenthesis around (-6x + 2x2) -6x + 2x2 + -6x + 2x2 + (2x2 + -6x) + (2x2 + -6x) = 0 Reorder the terms: -6x + 2x2 + -6x + 2x2 + (-6x + 2x2) + (2x2 + -6x) = 0 Remove parenthesis around (-6x + 2x2) -6x + 2x2 + -6x + 2x2 + -6x + 2x2 + (2x2 + -6x) = 0 Reorder the terms: -6x + 2x2 + -6x + 2x2 + -6x + 2x2 + (-6x + 2x2) = 0 Remove parenthesis around (-6x + 2x2) -6x + 2x2 + -6x + 2x2 + -6x + 2x2 + -6x + 2x2 = 0 Reorder the terms: -6x + -6x + -6x + -6x + 2x2 + 2x2 + 2x2 + 2x2 = 0 Combine like terms: -6x + -6x = -12x -12x + -6x + -6x + 2x2 + 2x2 + 2x2 + 2x2 = 0 Combine like terms: -12x + -6x = -18x -18x + -6x + 2x2 + 2x2 + 2x2 + 2x2 = 0 Combine like terms: -18x + -6x = -24x -24x + 2x2 + 2x2 + 2x2 + 2x2 = 0 Combine like terms: 2x2 + 2x2 = 4x2 -24x + 4x2 + 2x2 + 2x2 = 0 Combine like terms: 4x2 + 2x2 = 6x2 -24x + 6x2 + 2x2 = 0 Combine like terms: 6x2 + 2x2 = 8x2 -24x + 8x2 = 0 Solving -24x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(-3 + x) = 0 Ignore the factor 8.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 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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