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Simplifying 4x2 + 8xy + 10x = 0 Reorder the terms: 10x + 8xy + 4x2 = 0 Solving 10x + 8xy + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + 4y + 2x) = 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 '(5 + 4y + 2x)' equal to zero and attempt to solve: Simplifying 5 + 4y + 2x = 0 Reorder the terms: 5 + 2x + 4y = 0 Solving 5 + 2x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2x + -5 + 4y = 0 + -5 Reorder the terms: 5 + -5 + 2x + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x + 4y = 0 + -5 2x + 4y = 0 + -5 Combine like terms: 0 + -5 = -5 2x + 4y = -5 Add '-4y' to each side of the equation. 2x + 4y + -4y = -5 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = -5 + -4y 2x = -5 + -4y Divide each side by '2'. x = -2.5 + -2y Simplifying x = -2.5 + -2ySolution
x = {0, -2.5 + -2y}
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