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Simplifying 2x2 = x2 + 28x Reorder the terms: 2x2 = 28x + x2 Solving 2x2 = 28x + x2 Solving for variable 'x'. Reorder the terms: -28x + 2x2 + -1x2 = 28x + x2 + -28x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -28x + 1x2 = 28x + x2 + -28x + -1x2 Reorder the terms: -28x + 1x2 = 28x + -28x + x2 + -1x2 Combine like terms: 28x + -28x = 0 -28x + 1x2 = 0 + x2 + -1x2 -28x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -28x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-28 + x) = 0Subproblem 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 '(-28 + x)' equal to zero and attempt to solve: Simplifying -28 + x = 0 Solving -28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + x = 0 + 28 x = 0 + 28 Combine like terms: 0 + 28 = 28 x = 28 Simplifying x = 28Solution
x = {0, 28}
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