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Simplifying 6x + -4y(-3x + -10) = 22 Reorder the terms: 6x + -4y(-10 + -3x) = 22 6x + (-10 * -4y + -3x * -4y) = 22 Reorder the terms: 6x + (12xy + 40y) = 22 6x + (12xy + 40y) = 22 Solving 6x + 12xy + 40y = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. 6x + 12xy + 40y + -40y = 22 + -40y Combine like terms: 40y + -40y = 0 6x + 12xy + 0 = 22 + -40y 6x + 12xy = 22 + -40y Reorder the terms: -22 + 6x + 12xy + 40y = 22 + -40y + -22 + 40y Reorder the terms: -22 + 6x + 12xy + 40y = 22 + -22 + -40y + 40y Combine like terms: 22 + -22 = 0 -22 + 6x + 12xy + 40y = 0 + -40y + 40y -22 + 6x + 12xy + 40y = -40y + 40y Combine like terms: -40y + 40y = 0 -22 + 6x + 12xy + 40y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + 3x + 6xy + 20y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + 3x + 6xy + 20y)' equal to zero and attempt to solve: Simplifying -11 + 3x + 6xy + 20y = 0 Solving -11 + 3x + 6xy + 20y = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 3x + 6xy + 11 + 20y = 0 + 11 Reorder the terms: -11 + 11 + 3x + 6xy + 20y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3x + 6xy + 20y = 0 + 11 3x + 6xy + 20y = 0 + 11 Combine like terms: 0 + 11 = 11 3x + 6xy + 20y = 11 Add '-20y' to each side of the equation. 3x + 6xy + 20y + -20y = 11 + -20y Combine like terms: 20y + -20y = 0 3x + 6xy + 0 = 11 + -20y 3x + 6xy = 11 + -20y 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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