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Simplifying 6x(5x + -1) + 6x(5x + -1) = 0 Reorder the terms: 6x(-1 + 5x) + 6x(5x + -1) = 0 (-1 * 6x + 5x * 6x) + 6x(5x + -1) = 0 (-6x + 30x2) + 6x(5x + -1) = 0 Reorder the terms: -6x + 30x2 + 6x(-1 + 5x) = 0 -6x + 30x2 + (-1 * 6x + 5x * 6x) = 0 -6x + 30x2 + (-6x + 30x2) = 0 Reorder the terms: -6x + -6x + 30x2 + 30x2 = 0 Combine like terms: -6x + -6x = -12x -12x + 30x2 + 30x2 = 0 Combine like terms: 30x2 + 30x2 = 60x2 -12x + 60x2 = 0 Solving -12x + 60x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(-1 + 5x) = 0 Ignore the factor 12.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 '(-1 + 5x)' equal to zero and attempt to solve: Simplifying -1 + 5x = 0 Solving -1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, 0.2}
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