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Simplifying 2w + 20 + 2w(4 + x) = 610 2w + 20 + (4 * 2w + x * 2w) = 610 2w + 20 + (8w + 2wx) = 610 Reorder the terms: 20 + 2w + 8w + 2wx = 610 Combine like terms: 2w + 8w = 10w 20 + 10w + 2wx = 610 Solving 20 + 10w + 2wx = 610 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 10w + -20 + 2wx = 610 + -20 Reorder the terms: 20 + -20 + 10w + 2wx = 610 + -20 Combine like terms: 20 + -20 = 0 0 + 10w + 2wx = 610 + -20 10w + 2wx = 610 + -20 Combine like terms: 610 + -20 = 590 10w + 2wx = 590 Reorder the terms: -590 + 10w + 2wx = 590 + -590 Combine like terms: 590 + -590 = 0 -590 + 10w + 2wx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-295 + 5w + wx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-295 + 5w + wx)' equal to zero and attempt to solve: Simplifying -295 + 5w + wx = 0 Solving -295 + 5w + wx = 0 Move all terms containing w to the left, all other terms to the right. Add '295' to each side of the equation. -295 + 5w + 295 + wx = 0 + 295 Reorder the terms: -295 + 295 + 5w + wx = 0 + 295 Combine like terms: -295 + 295 = 0 0 + 5w + wx = 0 + 295 5w + wx = 0 + 295 Combine like terms: 0 + 295 = 295 5w + wx = 295 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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