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Simplifying 5x(8x + 30y + -65) = 0 Reorder the terms: 5x(-65 + 8x + 30y) = 0 (-65 * 5x + 8x * 5x + 30y * 5x) = 0 Reorder the terms: (-325x + 150xy + 40x2) = 0 (-325x + 150xy + 40x2) = 0 Solving -325x + 150xy + 40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-65 + 30y + 8x) = 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 '(-65 + 30y + 8x)' equal to zero and attempt to solve: Simplifying -65 + 30y + 8x = 0 Reorder the terms: -65 + 8x + 30y = 0 Solving -65 + 8x + 30y = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 8x + 65 + 30y = 0 + 65 Reorder the terms: -65 + 65 + 8x + 30y = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 8x + 30y = 0 + 65 8x + 30y = 0 + 65 Combine like terms: 0 + 65 = 65 8x + 30y = 65 Add '-30y' to each side of the equation. 8x + 30y + -30y = 65 + -30y Combine like terms: 30y + -30y = 0 8x + 0 = 65 + -30y 8x = 65 + -30y Divide each side by '8'. x = 8.125 + -3.75y Simplifying x = 8.125 + -3.75ySolution
x = {0, 8.125 + -3.75y}
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