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Simplifying 3(2x + -7xy) + -5x(3x + 4y) = 0 (2x * 3 + -7xy * 3) + -5x(3x + 4y) = 0 (6x + -21xy) + -5x(3x + 4y) = 0 6x + -21xy + (3x * -5x + 4y * -5x) = 0 Reorder the terms: 6x + -21xy + (-20xy + -15x2) = 0 6x + -21xy + (-20xy + -15x2) = 0 Combine like terms: -21xy + -20xy = -41xy 6x + -41xy + -15x2 = 0 Solving 6x + -41xy + -15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(6 + -41y + -15x) = 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 '(6 + -41y + -15x)' equal to zero and attempt to solve: Simplifying 6 + -41y + -15x = 0 Reorder the terms: 6 + -15x + -41y = 0 Solving 6 + -15x + -41y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -15x + -6 + -41y = 0 + -6 Reorder the terms: 6 + -6 + -15x + -41y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -15x + -41y = 0 + -6 -15x + -41y = 0 + -6 Combine like terms: 0 + -6 = -6 -15x + -41y = -6 Add '41y' to each side of the equation. -15x + -41y + 41y = -6 + 41y Combine like terms: -41y + 41y = 0 -15x + 0 = -6 + 41y -15x = -6 + 41y Divide each side by '-15'. x = 0.4 + -2.733333333y Simplifying x = 0.4 + -2.733333333ySolution
x = {0, 0.4 + -2.733333333y}
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