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Simplifying 7x + 6xy + -3x2 + 8x2 + -10x = 0 Reorder the terms: 7x + -10x + 6xy + -3x2 + 8x2 = 0 Combine like terms: 7x + -10x = -3x -3x + 6xy + -3x2 + 8x2 = 0 Combine like terms: -3x2 + 8x2 = 5x2 -3x + 6xy + 5x2 = 0 Solving -3x + 6xy + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 6y + 5x) = 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 '(-3 + 6y + 5x)' equal to zero and attempt to solve: Simplifying -3 + 6y + 5x = 0 Reorder the terms: -3 + 5x + 6y = 0 Solving -3 + 5x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5x + 3 + 6y = 0 + 3 Reorder the terms: -3 + 3 + 5x + 6y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x + 6y = 0 + 3 5x + 6y = 0 + 3 Combine like terms: 0 + 3 = 3 5x + 6y = 3 Add '-6y' to each side of the equation. 5x + 6y + -6y = 3 + -6y Combine like terms: 6y + -6y = 0 5x + 0 = 3 + -6y 5x = 3 + -6y Divide each side by '5'. x = 0.6 + -1.2y Simplifying x = 0.6 + -1.2ySolution
x = {0, 0.6 + -1.2y}
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