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Simplifying 6x(5 + y) + 12 = 36 (5 * 6x + y * 6x) + 12 = 36 (30x + 6xy) + 12 = 36 Reorder the terms: 12 + 30x + 6xy = 36 Solving 12 + 30x + 6xy = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 30x + -12 + 6xy = 36 + -12 Reorder the terms: 12 + -12 + 30x + 6xy = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 30x + 6xy = 36 + -12 30x + 6xy = 36 + -12 Combine like terms: 36 + -12 = 24 30x + 6xy = 24 Reorder the terms: -24 + 30x + 6xy = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 30x + 6xy = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + 5x + xy) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + 5x + xy)' equal to zero and attempt to solve: Simplifying -4 + 5x + xy = 0 Solving -4 + 5x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 5x + 4 + xy = 0 + 4 Reorder the terms: -4 + 4 + 5x + xy = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x + xy = 0 + 4 5x + xy = 0 + 4 Combine like terms: 0 + 4 = 4 5x + xy = 4 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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