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Simplifying 6y(7 + -2y) * x = -6 Reorder the terms for easier multiplication: 6y * x(7 + -2y) = -6 Multiply y * x 6xy(7 + -2y) = -6 (7 * 6xy + -2y * 6xy) = -6 (42xy + -12xy2) = -6 Solving 42xy + -12xy2 = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: 6 + 42xy + -12xy2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 42xy + -12xy2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(1 + 7xy + -2xy2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(1 + 7xy + -2xy2)' equal to zero and attempt to solve: Simplifying 1 + 7xy + -2xy2 = 0 Solving 1 + 7xy + -2xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 7xy + -1 + -2xy2 = 0 + -1 Reorder the terms: 1 + -1 + 7xy + -2xy2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7xy + -2xy2 = 0 + -1 7xy + -2xy2 = 0 + -1 Combine like terms: 0 + -1 = -1 7xy + -2xy2 = -1 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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