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Simplifying 8x2 + 7x + -2x(227) = x Reorder the terms for easier multiplication: 8x2 + 7x + -2 * 227x = x Multiply -2 * 227 8x2 + 7x + -454x = x Reorder the terms: 7x + -454x + 8x2 = x Combine like terms: 7x + -454x = -447x -447x + 8x2 = x Solving -447x + 8x2 = x Solving for variable 'x'. Reorder the terms: -447x + -1x + 8x2 = x + -1x Combine like terms: -447x + -1x = -448x -448x + 8x2 = x + -1x Combine like terms: x + -1x = 0 -448x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-56 + x) = 0 Ignore the factor 8.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 '(-56 + x)' equal to zero and attempt to solve: Simplifying -56 + x = 0 Solving -56 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + x = 0 + 56 x = 0 + 56 Combine like terms: 0 + 56 = 56 x = 56 Simplifying x = 56Solution
x = {0, 56}
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