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Simplifying 2x2 + 14 = 10x + 14 Reorder the terms: 14 + 2x2 = 10x + 14 Reorder the terms: 14 + 2x2 = 14 + 10x Add '-14' to each side of the equation. 14 + -14 + 2x2 = 14 + -14 + 10x Combine like terms: 14 + -14 = 0 0 + 2x2 = 14 + -14 + 10x 2x2 = 14 + -14 + 10x Combine like terms: 14 + -14 = 0 2x2 = 0 + 10x 2x2 = 10x Solving 2x2 = 10x Solving for variable 'x'. Reorder the terms: -10x + 2x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -10x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, 5}
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