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Simplifying 2x2 = 76x Solving 2x2 = 76x Solving for variable 'x'. Reorder the terms: -76x + 2x2 = 76x + -76x Combine like terms: 76x + -76x = 0 -76x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-38 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-38 + x)' equal to zero and attempt to solve: Simplifying -38 + x = 0 Solving -38 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + x = 0 + 38 x = 0 + 38 Combine like terms: 0 + 38 = 38 x = 38 Simplifying x = 38Solution
x = {0, 38}
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