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Simplifying 6x(3x + -5) + 12x = x Reorder the terms: 6x(-5 + 3x) + 12x = x (-5 * 6x + 3x * 6x) + 12x = x (-30x + 18x2) + 12x = x Reorder the terms: -30x + 12x + 18x2 = x Combine like terms: -30x + 12x = -18x -18x + 18x2 = x Solving -18x + 18x2 = x Solving for variable 'x'. Reorder the terms: -18x + -1x + 18x2 = x + -1x Combine like terms: -18x + -1x = -19x -19x + 18x2 = x + -1x Combine like terms: x + -1x = 0 -19x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-19 + 18x) = 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 '(-19 + 18x)' equal to zero and attempt to solve: Simplifying -19 + 18x = 0 Solving -19 + 18x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 18x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 18x = 0 + 19 18x = 0 + 19 Combine like terms: 0 + 19 = 19 18x = 19 Divide each side by '18'. x = 1.055555556 Simplifying x = 1.055555556Solution
x = {0, 1.055555556}
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