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Simplifying 3(5x + -1)(7y + -6) = 0 Reorder the terms: 3(-1 + 5x)(7y + -6) = 0 Reorder the terms: 3(-1 + 5x)(-6 + 7y) = 0 Multiply (-1 + 5x) * (-6 + 7y) 3(-1(-6 + 7y) + 5x * (-6 + 7y)) = 0 3((-6 * -1 + 7y * -1) + 5x * (-6 + 7y)) = 0 3((6 + -7y) + 5x * (-6 + 7y)) = 0 3(6 + -7y + (-6 * 5x + 7y * 5x)) = 0 3(6 + -7y + (-30x + 35xy)) = 0 Reorder the terms: 3(6 + -30x + 35xy + -7y) = 0 3(6 + -30x + 35xy + -7y) = 0 (6 * 3 + -30x * 3 + 35xy * 3 + -7y * 3) = 0 (18 + -90x + 105xy + -21y) = 0 Solving 18 + -90x + 105xy + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -90x + 105xy + -18 + -21y = 0 + -18 Reorder the terms: 18 + -18 + -90x + 105xy + -21y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -90x + 105xy + -21y = 0 + -18 -90x + 105xy + -21y = 0 + -18 Combine like terms: 0 + -18 = -18 -90x + 105xy + -21y = -18 Add '21y' to each side of the equation. -90x + 105xy + -21y + 21y = -18 + 21y Combine like terms: -21y + 21y = 0 -90x + 105xy + 0 = -18 + 21y -90x + 105xy = -18 + 21y Reorder the terms: 18 + -90x + 105xy + -21y = -18 + 21y + 18 + -21y Reorder the terms: 18 + -90x + 105xy + -21y = -18 + 18 + 21y + -21y Combine like terms: -18 + 18 = 0 18 + -90x + 105xy + -21y = 0 + 21y + -21y 18 + -90x + 105xy + -21y = 21y + -21y Combine like terms: 21y + -21y = 0 18 + -90x + 105xy + -21y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -30x + 35xy + -7y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -30x + 35xy + -7y)' equal to zero and attempt to solve: Simplifying 6 + -30x + 35xy + -7y = 0 Solving 6 + -30x + 35xy + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -30x + 35xy + -6 + -7y = 0 + -6 Reorder the terms: 6 + -6 + -30x + 35xy + -7y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -30x + 35xy + -7y = 0 + -6 -30x + 35xy + -7y = 0 + -6 Combine like terms: 0 + -6 = -6 -30x + 35xy + -7y = -6 Add '7y' to each side of the equation. -30x + 35xy + -7y + 7y = -6 + 7y Combine like terms: -7y + 7y = 0 -30x + 35xy + 0 = -6 + 7y -30x + 35xy = -6 + 7y 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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