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Simplifying (6x2) + -1(5x) = 0 Remove parenthesis around (5x) (6x2) + -1 * 5x = 0 Multiply -1 * 5 (6x2) + -5x = 0 Reorder the terms: -5x + (6x2) = 0 Solving -5x + (6x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + (6x)) = 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 '(-5 + (6x))' equal to zero and attempt to solve: Simplifying -5 + (6x) = 0 Solving -5 + (6x) = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + (6x) = 0 + 5 Combine like terms: -5 + 5 = 0 0 + (6x) = 0 + 5 (6x) = 0 + 5 Combine like terms: 0 + 5 = 5 (6x) = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {0, 0.8333333333}
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