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Simplifying 5x(14 + y) + 10x = 565 (14 * 5x + y * 5x) + 10x = 565 (70x + 5xy) + 10x = 565 Reorder the terms: 70x + 10x + 5xy = 565 Combine like terms: 70x + 10x = 80x 80x + 5xy = 565 Solving 80x + 5xy = 565 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -565 + 80x + 5xy = 565 + -565 Combine like terms: 565 + -565 = 0 -565 + 80x + 5xy = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-113 + 16x + xy) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-113 + 16x + xy)' equal to zero and attempt to solve: Simplifying -113 + 16x + xy = 0 Solving -113 + 16x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '113' to each side of the equation. -113 + 16x + 113 + xy = 0 + 113 Reorder the terms: -113 + 113 + 16x + xy = 0 + 113 Combine like terms: -113 + 113 = 0 0 + 16x + xy = 0 + 113 16x + xy = 0 + 113 Combine like terms: 0 + 113 = 113 16x + xy = 113 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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