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Simplifying 5(x + -1) * 6x = -11x Reorder the terms: 5(-1 + x) * 6x = -11x Reorder the terms for easier multiplication: 5 * 6x(-1 + x) = -11x Multiply 5 * 6 30x(-1 + x) = -11x (-1 * 30x + x * 30x) = -11x (-30x + 30x2) = -11x Solving -30x + 30x2 = -11x Solving for variable 'x'. Reorder the terms: -30x + 11x + 30x2 = -11x + 11x Combine like terms: -30x + 11x = -19x -19x + 30x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -19x + 30x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-19 + 30x) = 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 + 30x)' equal to zero and attempt to solve: Simplifying -19 + 30x = 0 Solving -19 + 30x = 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 + 30x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 30x = 0 + 19 30x = 0 + 19 Combine like terms: 0 + 19 = 19 30x = 19 Divide each side by '30'. x = 0.6333333333 Simplifying x = 0.6333333333Solution
x = {0, 0.6333333333}
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