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Simplifying 3[x + -2y(x + 2y) + -3y2] = 0 3[x + (x * -2y + 2y * -2y) + -3y2] = 0 3[x + (-2xy + -4y2) + -3y2] = 0 Combine like terms: -4y2 + -3y2 = -7y2 3[x + -2xy + -7y2] = 0 [x * 3 + -2xy * 3 + -7y2 * 3] = 0 [3x + -6xy + -21y2] = 0 Solving 3x + -6xy + -21y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y2' to each side of the equation. 3x + -6xy + -21y2 + 21y2 = 0 + 21y2 Combine like terms: -21y2 + 21y2 = 0 3x + -6xy + 0 = 0 + 21y2 3x + -6xy = 0 + 21y2 Remove the zero: 3x + -6xy = 21y2 Combine like terms: 21y2 + -21y2 = 0 3x + -6xy + -21y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(x + -2xy + -7y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(x + -2xy + -7y2)' equal to zero and attempt to solve: Simplifying x + -2xy + -7y2 = 0 Solving x + -2xy + -7y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7y2' to each side of the equation. x + -2xy + -7y2 + 7y2 = 0 + 7y2 Combine like terms: -7y2 + 7y2 = 0 x + -2xy + 0 = 0 + 7y2 x + -2xy = 0 + 7y2 Remove the zero: x + -2xy = 7y2 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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