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Simplifying 10x(5y + 3) + 5 = 965 Reorder the terms: 10x(3 + 5y) + 5 = 965 (3 * 10x + 5y * 10x) + 5 = 965 (30x + 50xy) + 5 = 965 Reorder the terms: 5 + 30x + 50xy = 965 Solving 5 + 30x + 50xy = 965 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 30x + -5 + 50xy = 965 + -5 Reorder the terms: 5 + -5 + 30x + 50xy = 965 + -5 Combine like terms: 5 + -5 = 0 0 + 30x + 50xy = 965 + -5 30x + 50xy = 965 + -5 Combine like terms: 965 + -5 = 960 30x + 50xy = 960 Reorder the terms: -960 + 30x + 50xy = 960 + -960 Combine like terms: 960 + -960 = 0 -960 + 30x + 50xy = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-96 + 3x + 5xy) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-96 + 3x + 5xy)' equal to zero and attempt to solve: Simplifying -96 + 3x + 5xy = 0 Solving -96 + 3x + 5xy = 0 Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 3x + 96 + 5xy = 0 + 96 Reorder the terms: -96 + 96 + 3x + 5xy = 0 + 96 Combine like terms: -96 + 96 = 0 0 + 3x + 5xy = 0 + 96 3x + 5xy = 0 + 96 Combine like terms: 0 + 96 = 96 3x + 5xy = 96 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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