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Simplifying 8x + 2y(x + -15) = 14 Reorder the terms: 8x + 2y(-15 + x) = 14 8x + (-15 * 2y + x * 2y) = 14 Reorder the terms: 8x + (2xy + -30y) = 14 8x + (2xy + -30y) = 14 Solving 8x + 2xy + -30y = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30y' to each side of the equation. 8x + 2xy + -30y + 30y = 14 + 30y Combine like terms: -30y + 30y = 0 8x + 2xy + 0 = 14 + 30y 8x + 2xy = 14 + 30y Reorder the terms: -14 + 8x + 2xy + -30y = 14 + 30y + -14 + -30y Reorder the terms: -14 + 8x + 2xy + -30y = 14 + -14 + 30y + -30y Combine like terms: 14 + -14 = 0 -14 + 8x + 2xy + -30y = 0 + 30y + -30y -14 + 8x + 2xy + -30y = 30y + -30y Combine like terms: 30y + -30y = 0 -14 + 8x + 2xy + -30y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 4x + xy + -15y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 4x + xy + -15y)' equal to zero and attempt to solve: Simplifying -7 + 4x + xy + -15y = 0 Solving -7 + 4x + xy + -15y = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 4x + xy + 7 + -15y = 0 + 7 Reorder the terms: -7 + 7 + 4x + xy + -15y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x + xy + -15y = 0 + 7 4x + xy + -15y = 0 + 7 Combine like terms: 0 + 7 = 7 4x + xy + -15y = 7 Add '15y' to each side of the equation. 4x + xy + -15y + 15y = 7 + 15y Combine like terms: -15y + 15y = 0 4x + xy + 0 = 7 + 15y 4x + xy = 7 + 15y 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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