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Simplifying 2x + -4y(5x + 3y) = 0 2x + (5x * -4y + 3y * -4y) = 0 2x + (-20xy + -12y2) = 0 Solving 2x + -20xy + -12y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y2' to each side of the equation. 2x + -20xy + -12y2 + 12y2 = 0 + 12y2 Combine like terms: -12y2 + 12y2 = 0 2x + -20xy + 0 = 0 + 12y2 2x + -20xy = 0 + 12y2 Remove the zero: 2x + -20xy = 12y2 Combine like terms: 12y2 + -12y2 = 0 2x + -20xy + -12y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + -10xy + -6y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + -10xy + -6y2)' equal to zero and attempt to solve: Simplifying x + -10xy + -6y2 = 0 Solving x + -10xy + -6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '6y2' to each side of the equation. x + -10xy + -6y2 + 6y2 = 0 + 6y2 Combine like terms: -6y2 + 6y2 = 0 x + -10xy + 0 = 0 + 6y2 x + -10xy = 0 + 6y2 Remove the zero: x + -10xy = 6y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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