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Simplifying (6x + y + -2)(5x) = 0 Reorder the terms: (-2 + 6x + y)(5x) = 0 Remove parenthesis around (5x) (-2 + 6x + y) * 5x = 0 Reorder the terms for easier multiplication: 5x(-2 + 6x + y) = 0 (-2 * 5x + 6x * 5x + y * 5x) = 0 Reorder the terms: (-10x + 5xy + 30x2) = 0 (-10x + 5xy + 30x2) = 0 Solving -10x + 5xy + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-2 + y + 6x) = 0 Ignore the factor 5.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 '(-2 + y + 6x)' equal to zero and attempt to solve: Simplifying -2 + y + 6x = 0 Reorder the terms: -2 + 6x + y = 0 Solving -2 + 6x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6x + 2 + y = 0 + 2 Reorder the terms: -2 + 2 + 6x + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6x + y = 0 + 2 6x + y = 0 + 2 Combine like terms: 0 + 2 = 2 6x + y = 2 Add '-1y' to each side of the equation. 6x + y + -1y = 2 + -1y Combine like terms: y + -1y = 0 6x + 0 = 2 + -1y 6x = 2 + -1y Divide each side by '6'. x = 0.3333333333 + -0.1666666667y Simplifying x = 0.3333333333 + -0.1666666667ySolution
x = {0, 0.3333333333 + -0.1666666667y}
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