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Simplifying 6x(9x + -3) = 4x Reorder the terms: 6x(-3 + 9x) = 4x (-3 * 6x + 9x * 6x) = 4x (-18x + 54x2) = 4x Solving -18x + 54x2 = 4x Solving for variable 'x'. Reorder the terms: -18x + -4x + 54x2 = 4x + -4x Combine like terms: -18x + -4x = -22x -22x + 54x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -22x + 54x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-11 + 27x) = 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 '(-11 + 27x)' equal to zero and attempt to solve: Simplifying -11 + 27x = 0 Solving -11 + 27x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 27x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 27x = 0 + 11 27x = 0 + 11 Combine like terms: 0 + 11 = 11 27x = 11 Divide each side by '27'. x = 0.4074074074 Simplifying x = 0.4074074074Solution
x = {0, 0.4074074074}
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